Search a number
-
+
5100460457376 = 2531731100815553
BaseRepresentation
bin100101000111000101100…
…1000100011110110100000
3200001121011212012010102210
41022032023020203312200
51132031220334114001
614503041424442120
71034332110363024
oct112161310436640
920047155163383
105100460457376
111697102a61049
126a4605a79340
132acc820c249b
14138c13a28384
158ca1c0b2dd6
hex4a38b223da0

5100460457376 has 96 divisors (see below), whose sum is σ = 14633579294208. Its totient is φ = 1548526878720.

The previous prime is 5100460457317. The next prime is 5100460457447. The reversal of 5100460457376 is 6737540640015.

It is a happy number.

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

It is a super-2 number, since 2×51004604573762 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50357185 + ... + 50458368.

It is an arithmetic number, because the mean of its divisors is an integer number (152433117648).

Almost surely, 25100460457376 is an apocalyptic number.

It is an amenable number.

5100460457376 is an abundant number, since it is smaller than the sum of its proper divisors (9533118836832).

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

5100460457376 is a wasteful number, since it uses less digits than its factorization.

5100460457376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100815614 (or 100815606 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 5100460457376 in words is "five trillion, one hundred billion, four hundred sixty million, four hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2976 3162 4216 6324 8432 12648 16864 25296 50592 100815553 201631106 302446659 403262212 604893318 806524424 1209786636 1613048848 1713864401 2419573272 3125282143 3226097696 3427728802 4839146544 5141593203 6250564286 6855457604 9375846429 9678293088 10283186406 12501128572 13710915208 18751692858 20566372812 25002257144 27421830416 37503385716 41132745624 50004514288 53129796431 54843660832 75006771432 82265491248 100009028576 106259592862 150013542864 159389389293 164530982496 212519185724 300027085728 318778778586 425038371448 637557557172 850076742896 1275115114344 1700153485792 2550230228688 5100460457376