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64128626252442 = 23331197194459989
BaseRepresentation
bin11101001010011000110111…
…11111001101101010011010
322102001122012020001212011000
432211030123333031222122
531401140411310034232
6344220141215245430
716336066066153143
oct1645143377155232
9272048166055130
1064128626252442
1119484885764a44
127238683219876
1329a23c3a6226b
1411b9bb0904aca
157631eceb527c
hex3a531bfcda9a

64128626252442 has 64 divisors (see below), whose sum is σ = 147851819596800. Its totient is φ = 20581645129920.

The previous prime is 64128626252441. The next prime is 64128626252459. The reversal of 64128626252442 is 24425262682146.

64128626252442 is a `hidden beast` number, since 6 + 4 + 1 + 2 + 8 + 6 + 2 + 625 + 2 + 4 + 4 + 2 = 666.

It is a super-2 number, since 2×641286262524422 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64128626252441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96900217 + ... + 97559772.

It is an arithmetic number, because the mean of its divisors is an integer number (2310184681200).

Almost surely, 264128626252442 is an apocalyptic number.

64128626252442 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

64128626252442 is an abundant number, since it is smaller than the sum of its proper divisors (83723193344358).

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

64128626252442 is a wasteful number, since it uses less digits than its factorization.

64128626252442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194460228 (or 194460222 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 64128626252442 in words is "sixty-four trillion, one hundred twenty-eight billion, six hundred twenty-six million, two hundred fifty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 197 279 394 558 591 837 1182 1674 1773 3546 5319 6107 10638 12214 18321 36642 54963 109926 164889 329778 194459989 388919978 583379967 1166759934 1750139901 3500279802 5250419703 6028259659 10500839406 12056519318 18084778977 36169557954 38308617833 54254336931 76617235666 108508673862 114925853499 162763010793 229851706998 325526021586 344777560497 689555120994 1034332681491 1187567152823 2068665362982 2375134305646 3562701458469 7125402916938 10688104375407 21376208750814 32064313126221 64128626252442