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60106500060 = 22356133134957
BaseRepresentation
bin110111111110101000…
…000110011111011100
312202010220222120100220
4313332220012133130
51441044231000220
643340150521340
74225331551335
oct677650063734
9182126876326
1060106500060
1123544609142
12b795666250
13588b838489
142ca2a9728c
15186bc8d540
hexdfea067dc

60106500060 has 96 divisors (see below), whose sum is σ = 171143337792. Its totient is φ = 15757701120.

The previous prime is 60106500031. The next prime is 60106500061. The reversal of 60106500060 is 6000560106.

It is a super-2 number, since 2×601065000602 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 60106500060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60106500061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12123102 + ... + 12128058.

It is an arithmetic number, because the mean of its divisors is an integer number (1782743102).

Almost surely, 260106500060 is an apocalyptic number.

60106500060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60106500060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85571668896).

60106500060 is an abundant number, since it is smaller than the sum of its proper divisors (111036837732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60106500060 is a wasteful number, since it uses less digits than its factorization.

60106500060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343 (or 8341 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 60106500060 in words is "sixty billion, one hundred six million, five hundred thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3313 3660 4957 6626 9914 9939 13252 14871 16565 19828 19878 24785 29742 33130 39756 49570 49695 59484 66260 74355 99140 99390 148710 198780 202093 297420 302377 404186 604754 606279 808372 907131 1010465 1209508 1212558 1511885 1814262 2020930 2425116 3023770 3031395 3628524 4041860 4535655 6047540 6062790 9071310 12125580 16422541 18142620 32845082 49267623 65690164 82112705 98535246 164225410 197070492 246338115 328450820 492676230 985352460 1001775001 2003550002 3005325003 4007100004 5008875005 6010650006 10017750010 12021300012 15026625015 20035500020 30053250030 60106500060