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455657005616 = 241910795314699
BaseRepresentation
bin1101010000101110100…
…01100010001000110000
31121120010112001012110012
412220113101202020300
524431141143134431
6545154222554052
744630414433341
oct6502721421060
91546115035405
10455657005616
111662745564aa
1274386738928
1333c783a4567
14180a7d3a0c8
15bcbcc2322b
hex6a17462230

455657005616 has 80 divisors (see below), whose sum is σ = 939033648000. Its totient is φ = 213581458944.

The previous prime is 455657005561. The next prime is 455657005619. The reversal of 455657005616 is 616500756554.

It is not an unprimeable number, because it can be changed into a prime (455657005619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30991835 + ... + 31006533.

It is an arithmetic number, because the mean of its divisors is an integer number (11737920600).

Almost surely, 2455657005616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455657005616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469516824000).

455657005616 is an abundant number, since it is smaller than the sum of its proper divisors (483376642384).

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

455657005616 is a wasteful number, since it uses less digits than its factorization.

455657005616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15786 (or 15780 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 50.

The spelling of 455657005616 in words is "four hundred fifty-five billion, six hundred fifty-seven million, five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 107 152 214 304 428 856 953 1712 1906 2033 3812 4066 7624 8132 14699 15248 16264 18107 29398 32528 36214 58796 72428 101971 117592 144856 203942 235184 279281 289712 407884 558562 815768 1117124 1572793 1631536 1937449 2234248 3145586 3874898 4468496 6291172 7749796 12582344 14008147 15499592 25164688 28016294 29883067 30999184 56032588 59766134 112065176 119532268 224130352 239064536 266154793 478129072 532309586 1064619172 1498871729 2129238344 2997743458 4258476688 5995486916 11990973832 23981947664 28478562851 56957125702 113914251404 227828502808 455657005616