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41456375347164 = 22319975531863871
BaseRepresentation
bin10010110110100010100001…
…00001101011011111011100
312102210012011002002011121020
421123101100201223133130
520413210124042102124
6224100443530204140
711506060425201351
oct1133212041533734
9172705132064536
1041456375347164
1112233606133068
124796634283650
131a1941c9c950b
14a346dc00c628
154bd59729d379
hex25b45086b7dc

41456375347164 has 48 divisors (see below), whose sum is σ = 101823774689280. Its totient is φ = 13091345729280.

The previous prime is 41456375347141. The next prime is 41456375347171. The reversal of 41456375347164 is 46174357365414.

41456375347164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41456375347098 and 41456375347107.

It is a congruent number.

It is an unprimeable number.

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, 21310149 + ... + 23174019.

It is an arithmetic number, because the mean of its divisors is an integer number (2121328639360).

Almost surely, 241456375347164 is an apocalyptic number.

It is an amenable number.

41456375347164 is an abundant number, since it is smaller than the sum of its proper divisors (60367399342116).

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

41456375347164 is a wasteful number, since it uses less digits than its factorization.

41456375347164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961450 (or 1961448 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 60.

The spelling of 41456375347164 in words is "forty-one trillion, four hundred fifty-six billion, three hundred seventy-five million, three hundred forty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 97553 195106 292659 390212 585318 1170636 1853507 1863871 3707014 3727742 5560521 5591613 7414028 7455484 11121042 11183226 22242084 22366452 35413549 70827098 106240647 141654196 212481294 424962588 181826207663 363652415326 545478622989 727304830652 1090957245978 2181914491956 3454697945597 6909395891194 10364093836791 13818791782388 20728187673582 41456375347164