Search a number
-
+
147764111712 = 2537713097001
BaseRepresentation
bin1000100110011101101…
…1010110100101100000
3112010101221020121202020
42021213123112211200
54410110103033322
6151514253421440
713450506140340
oct2114733264540
9463357217666
10147764111712
1157736a97198
1224779a9a880
1310c1b293939
14721a850d20
153c9c67405c
hex22676d6960

147764111712 has 96 divisors (see below), whose sum is σ = 449536034304. Its totient is φ = 41623680000.

The previous prime is 147764111711. The next prime is 147764111743. The reversal of 147764111712 is 217111467741.

147764111712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147764111711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1500789 + ... + 1596212.

It is an arithmetic number, because the mean of its divisors is an integer number (4682667024).

Almost surely, 2147764111712 is an apocalyptic number.

147764111712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

147764111712 is an abundant number, since it is smaller than the sum of its proper divisors (301771922592).

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

147764111712 is a wasteful number, since it uses less digits than its factorization.

147764111712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097092 (or 3097084 counting only the distinct ones).

The product of its digits is 65856, while the sum is 42.

The spelling of 147764111712 in words is "one hundred forty-seven billion, seven hundred sixty-four million, one hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5964 6816 7952 11928 15904 23856 47712 3097001 6194002 9291003 12388004 18582006 21679007 24776008 37164012 43358014 49552016 65037021 74328024 86716028 99104032 130074042 148656048 173432056 219887071 260148084 297312096 346864112 439774142 520296168 659661213 693728224 879548284 1040592336 1319322426 1539209497 1759096568 2081184672 2638644852 3078418994 3518193136 4617628491 5277289704 6156837988 7036386272 9235256982 10554579408 12313675976 18470513964 21109158816 24627351952 36941027928 49254703904 73882055856 147764111712