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14900661024 = 2531713169697
BaseRepresentation
bin11011110000010011…
…00000101100100000
31102110110020000020020
431320021200230200
5221004032123044
610502324513440
71035152346264
oct157011405440
942413200206
1014900661024
116357042197
122a7a24b880
1315360a73b2
14a14d660a4
155c3240a19
hex378260b20

14900661024 has 96 divisors (see below), whose sum is σ = 41731816896. Its totient is φ = 4638965760.

The previous prime is 14900660993. The next prime is 14900661049. The reversal of 14900661024 is 42016600941.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178944 + ... + 248640.

It is an arithmetic number, because the mean of its divisors is an integer number (434706426).

Almost surely, 214900661024 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 14900661024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865908448).

14900661024 is an abundant number, since it is smaller than the sum of its proper divisors (26831155872).

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

14900661024 is a wasteful number, since it uses less digits than its factorization.

14900661024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69858 (or 69850 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 14900661024 in words is "fourteen billion, nine hundred million, six hundred sixty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 131 136 204 262 272 393 408 524 544 786 816 1048 1572 1632 2096 2227 3144 4192 4454 6288 6681 8908 12576 13362 17816 26724 35632 53448 69697 71264 106896 139394 209091 213792 278788 418182 557576 836364 1115152 1184849 1672728 2230304 2369698 3345456 3554547 4739396 6690912 7109094 9130307 9478792 14218188 18260614 18957584 27390921 28436376 36521228 37915168 54781842 56872752 73042456 109563684 113745504 146084912 155215219 219127368 292169824 310430438 438254736 465645657 620860876 876509472 931291314 1241721752 1862582628 2483443504 3725165256 4966887008 7450330512 14900661024