Search a number
-
+
50088301056 = 293221415077
BaseRepresentation
bin101110101001011111…
…101101001000000000
311210021201222022220100
4232221133231020000
51310040101113211
635002114042400
73422143351143
oct565137551000
9153251868810
1050088301056
111a2735a3a32
12985a579400
134953148581
1425d235805a
1514824d8156
hexba97ed200

50088301056 has 120 divisors (see below), whose sum is σ = 144654233724. Its totient is φ = 16685015040.

The previous prime is 50088301031. The next prime is 50088301063. The reversal of 50088301056 is 65010388005.

It can be written as a sum of positive squares in 2 ways, for example, as 34453299456 + 15635001600 = 185616^2 + 125040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 50088301056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9863190 + ... + 9868266.

Almost surely, 250088301056 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 50088301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72327116862).

50088301056 is an abundant number, since it is smaller than the sum of its proper divisors (94565932668).

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

50088301056 is a wasteful number, since it uses less digits than its factorization.

50088301056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 50088301056 in words is "fifty billion, eighty-eight million, three hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2141 2304 4282 4608 5077 6423 8564 10154 12846 15231 17128 19269 20308 25692 30462 34256 38538 40616 45693 51384 60924 68512 77076 81232 91386 102768 121848 137024 154152 162464 182772 205536 243696 274048 308304 324928 365544 411072 487392 548096 616608 649856 731088 822144 974784 1096192 1233216 1299712 1462176 1644288 1949568 2466432 2599424 2924352 3288576 3899136 4932864 5848704 7798272 9865728 10869857 11697408 21739714 23394816 32609571 43479428 65219142 86958856 97828713 130438284 173917712 195657426 260876568 347835424 391314852 521753136 695670848 782629704 1043506272 1391341696 1565259408 2087012544 2782683392 3130518816 4174025088 5565366784 6261037632 8348050176 12522075264 16696100352 25044150528 50088301056