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51101000448 = 283148344867
BaseRepresentation
bin101111100101110110…
…110110001100000000
311212220022112210022020
4233211312312030000
51314123324003243
635250411441440
73456221223411
oct574566661400
9155808483266
1051101000448
111a743200a83
129aa1756280
134a84bb0b94
14268aa4d808
1514e1377283
hexbe5db6300

51101000448 has 72 divisors (see below), whose sum is σ = 136097924928. Its totient is φ = 17021801472.

The previous prime is 51101000429. The next prime is 51101000497. The reversal of 51101000448 is 84400010115.

51101000448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511010004482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1116511 + ... + 1161377.

Almost surely, 251101000448 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 51101000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68048962464).

51101000448 is an abundant number, since it is smaller than the sum of its proper divisors (84996924480).

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

51101000448 is a wasteful number, since it uses less digits than its factorization.

51101000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46369 (or 46355 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The spelling of 51101000448 in words is "fifty-one billion, one hundred one million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1483 2966 4449 5932 8898 11864 17796 23728 35592 44867 47456 71184 89734 94912 134601 142368 179468 189824 269202 284736 358936 379648 538404 569472 717872 1076808 1138944 1435744 2153616 2871488 4307232 5742976 8614464 11485952 17228928 34457856 66537761 133075522 199613283 266151044 399226566 532302088 798453132 1064604176 1596906264 2129208352 3193812528 4258416704 6387625056 8516833408 12775250112 17033666816 25550500224 51101000448