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42705106176 = 28355605607
BaseRepresentation
bin100111110001011011…
…000011010100000000
311002020012012011120010
4213301123003110000
51144430001344201
631341330344520
73041162261505
oct476133032400
9132205164503
1042705106176
1117124a12387
128339a2b140
1340476361c5
1420d196d4ac
15119e229bd6
hex9f16c3500

42705106176 has 36 divisors (see below), whose sum is σ = 113657862752. Its totient is φ = 14235035136.

The previous prime is 42705106099. The next prime is 42705106177. The reversal of 42705106176 is 67160150724.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42705106177) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27802036 + ... + 27803571.

Almost surely, 242705106176 is an apocalyptic number.

It is an amenable number.

42705106176 is an abundant number, since it is smaller than the sum of its proper divisors (70952756576).

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

42705106176 is an equidigital number, since it uses as much as digits as its factorization.

42705106176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55605626 (or 55605612 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 42705106176 in words is "forty-two billion, seven hundred five million, one hundred six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 55605607 111211214 166816821 222422428 333633642 444844856 667267284 889689712 1334534568 1779379424 2669069136 3558758848 5338138272 7117517696 10676276544 14235035392 21352553088 42705106176