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105381996156 = 22322927277671
BaseRepresentation
bin110001000100101000…
…0011010011001111100
3101002000020211002000200
41202021100122121330
53211310242334111
6120224541523500
710420315121253
oct1421120323174
9332006732020
10105381996156
1140768431508
1218510273590
139c25847c58
145159b5b79a
152b1b99a256
hex188941a67c

105381996156 has 18 divisors (see below), whose sum is σ = 266382268152. Its totient is φ = 35127332040.

The previous prime is 105381996121. The next prime is 105381996163. The reversal of 105381996156 is 651699183501.

105381996156 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 8 + 19 + 9 + 615 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1053819961562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1463638800 + ... + 1463638871.

Almost surely, 2105381996156 is an apocalyptic number.

It is an amenable number.

105381996156 is an abundant number, since it is smaller than the sum of its proper divisors (161000271996).

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

105381996156 is a wasteful number, since it uses less digits than its factorization.

105381996156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927277681 (or 2927277676 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 105381996156 in words is "one hundred five billion, three hundred eighty-one million, nine hundred ninety-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2927277671 5854555342 8781833013 11709110684 17563666026 26345499039 35127332052 52690998078 105381996156