Search a number
-
+
19723827625840 = 2451337512573483
BaseRepresentation
bin1000111110000010011111…
…01111010011111101110000
32120211120122110102021201101
410133001033233103331300
510041123344333011330
6105541000141414144
74103666556412162
oct437011757237560
976746573367641
1019723827625840
11631491254a7a8
122266739b6a354
13b00c44b4a620
144c28d18c4932
152430de4b94ca
hex11f04fbd3f70

19723827625840 has 80 divisors (see below), whose sum is σ = 50720171388768. Its totient is φ = 7085815815168.

The previous prime is 19723827625823. The next prime is 19723827625861. The reversal of 19723827625840 is 4852672832791.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256248262 + ... + 256325221.

It is a 2-persistent number, because it is pandigital, and so is 2⋅19723827625840 = 39447655251680, but 3⋅19723827625840 = 59171482877520 is not.

Almost surely, 219723827625840 is an apocalyptic number.

19723827625840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19723827625840 is an abundant number, since it is smaller than the sum of its proper divisors (30996343762928).

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

19723827625840 is a wasteful number, since it uses less digits than its factorization.

19723827625840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512573546 (or 512573540 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

The spelling of 19723827625840 in words is "nineteen trillion, seven hundred twenty-three billion, eight hundred twenty-seven million, six hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9620 19240 38480 512573483 1025146966 2050293932 2562867415 4100587864 5125734830 6663455279 8201175728 10251469660 13326910558 18965218871 20502939320 26653821116 33317276395 37930437742 41005878640 53307642232 66634552790 75860875484 94826094355 106615284464 133269105580 151721750968 189652188710 246547845323 266538211160 303443501936 379304377420 493095690646 533076422320 758608754840 986191381292 1232739226615 1517217509680 1972382762584 2465478453230 3944765525168 4930956906460 9861913812920 19723827625840