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50011502464 = 2771131716007
BaseRepresentation
bin101110100100111010…
…101111011110000000
311210002101110120001001
4232210322233132000
51304410421034324
634550332021344
73420221520430
oct564472573600
9153071416031
1050011502464
111a23420a020
129838901854
134940269411
1425c60862c0
15147a8b7e44
hexba4eaf780

50011502464 has 128 divisors (see below), whose sum is σ = 124616517120. Its totient is φ = 19422320640.

The previous prime is 50011502449. The next prime is 50011502467. The reversal of 50011502464 is 46420511005.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50011502467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3116349 + ... + 3132355.

It is an arithmetic number, because the mean of its divisors is an integer number (973566540).

Almost surely, 250011502464 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 50011502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62308258560).

50011502464 is an abundant number, since it is smaller than the sum of its proper divisors (74605014656).

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

50011502464 is a wasteful number, since it uses less digits than its factorization.

50011502464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16356 (or 16344 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 50011502464 in words is "fifty billion, eleven million, five hundred two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 317 352 448 616 634 704 896 1232 1268 1408 2219 2464 2536 3487 4438 4928 5072 6974 8876 9856 10144 13948 16007 17752 20288 24409 27896 32014 35504 40576 48818 55792 64028 71008 97636 111584 112049 128056 142016 176077 195272 223168 224098 256112 284032 352154 390544 446336 448196 512224 704308 781088 896392 1024448 1232539 1408616 1562176 1792784 2048896 2465078 2817232 3124352 3585568 4930156 5074219 5634464 7171136 9860312 10148438 11268928 14342272 19720624 20296876 22537856 35519533 39441248 40593752 55816409 71039066 78882496 81187504 111632818 142078132 157764992 162375008 223265636 284156264 324750016 390714863 446531272 568312528 649500032 781429726 893062544 1136625056 1562859452 1786125088 2273250112 3125718904 3572250176 4546500224 6251437808 7144500352 12502875616 25005751232 50011502464