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40553851257657 = 3231731991154871
BaseRepresentation
bin10010011100010001011011…
…11001100000001100111001
312022120220120121210001111100
421032020231321200030321
520303413241410221112
6222130103154522013
711353630145051313
oct1116105571401471
9168526517701440
1040553851257657
1111a15878886491
12466b736896309
13198229a32832a
14a02b617047b3
154a4d733882dc
hex24e22de60339

40553851257657 has 24 divisors (see below), whose sum is σ = 61295711579648. Its totient is φ = 25805367115200.

The previous prime is 40553851257649. The next prime is 40553851257701. The reversal of 40553851257657 is 75675215835504.

40553851257657 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 3 + 8 + 5 + 1 + 2 + 576 + 57 = 666.

It is not a de Polignac number, because 40553851257657 - 23 = 40553851257649 is a prime.

It is a super-2 number, since 2×405538512576572 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40553851257594 and 40553851257603.

It is not an unprimeable number, because it can be changed into a prime (40553851257607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 995557069 + ... + 995597802.

Almost surely, 240553851257657 is an apocalyptic number.

It is an amenable number.

40553851257657 is a deficient number, since it is larger than the sum of its proper divisors (20741860321991).

40553851257657 is a wasteful number, since it uses less digits than its factorization.

40553851257657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991154981 (or 1991154978 counting only the distinct ones).

The product of its (nonzero) digits is 176400000, while the sum is 63.

The spelling of 40553851257657 in words is "forty trillion, five hundred fifty-three billion, eight hundred fifty-one million, two hundred fifty-seven thousand, six hundred fifty-seven".

Divisors: 1 3 9 31 73 93 219 279 657 2263 6789 20367 1991154871 5973464613 17920393839 61725801001 145354305583 185177403003 436062916749 555532209009 1308188750247 4505983473073 13517950419219 40553851257657