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42556311365524 = 221121411114940519
BaseRepresentation
bin10011010110100011010011…
…10100100110011110010100
312120200100021111202100000121
421223101221310212132110
521034220311202144044
6230302033300321324
711651410032116455
oct1153215164463624
9176610244670017
1042556311365524
1112618037363770
1249338466a3244
131a99073462418
14a71a44bbd12c
154dbec2311984
hex26b469d26794

42556311365524 has 48 divisors (see below), whose sum is σ = 81291110544000. Its totient is φ = 19332531619200.

The previous prime is 42556311365473. The next prime is 42556311365527.

42556311365524 is nontrivially palindromic in base 10.

42556311365524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425563113655242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42556311365527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050260137 + ... + 1050300655.

It is an arithmetic number, because the mean of its divisors is an integer number (1693564803000).

Almost surely, 242556311365524 is an apocalyptic number.

42556311365524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42556311365524 is a deficient number, since it is larger than the sum of its proper divisors (38734799178476).

42556311365524 is a wasteful number, since it uses less digits than its factorization.

42556311365524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53824 (or 53822 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 52.

The spelling of 42556311365524 in words is "forty-two trillion, five hundred fifty-six billion, three hundred eleven million, three hundred sixty-five thousand, five hundred twenty-four".

Divisors: 1 2 4 11 22 44 2141 4282 8564 11149 22298 23551 40519 44596 47102 81038 94204 122639 162076 245278 445709 490556 891418 1782836 23870009 47740018 86751179 95480036 173502358 262570099 347004716 451746331 525140198 903492662 954262969 1050280396 1806985324 1908525938 3817051876 4969209641 9938419282 19876838564 967188894671 1934377789342 3868755578684 10639077841381 21278155682762 42556311365524