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146792112920 = 23519193147517
BaseRepresentation
bin1000100010110101111…
…1011110001100011000
3112000220012020222001222
42020231133132030120
54401112240103140
6151234012231212
713414434241535
oct2105537361430
9460805228058
10146792112920
1157288359102
122454846b508
1310ac4aaba1b
147167711d8c
153c421745b5
hex222d7de318

146792112920 has 32 divisors (see below), whose sum is σ = 347665532400. Its totient is φ = 55626484608.

The previous prime is 146792112889. The next prime is 146792112923. The reversal of 146792112920 is 29211297641.

146792112920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146792112923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96572999 + ... + 96574518.

Almost surely, 2146792112920 is an apocalyptic number.

146792112920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146792112920 is an abundant number, since it is smaller than the sum of its proper divisors (200873419480).

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

146792112920 is a wasteful number, since it uses less digits than its factorization.

146792112920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193147547 (or 193147543 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

It can be divided in two parts, 1467921 and 12920, that added together give a palindrome (1480841).

The spelling of 146792112920 in words is "one hundred forty-six billion, seven hundred ninety-two million, one hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 193147517 386295034 772590068 965737585 1545180136 1931475170 3669802823 3862950340 7339605646 7725900680 14679211292 18349014115 29358422584 36698028230 73396056460 146792112920