Search a number
-
+
5179693056 = 21131944371
BaseRepresentation
bin1001101001011101…
…11101100000000000
3111100222111200002120
410310232331200000
541102000134211
62213550444240
7242233443636
oct46456754000
914328450076
105179693056
11221889006a
121006803680
13647155b45
14371cb9356
15204aedd06
hex134bbd800

5179693056 has 96 divisors (see below), whose sum is σ = 14536267200. Its totient is φ = 1635655680.

The previous prime is 5179693039. The next prime is 5179693087. The reversal of 5179693056 is 6503969715.

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

It is a congruent number.

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, 94551 + ... + 138921.

It is an arithmetic number, because the mean of its divisors is an integer number (151419450).

Almost surely, 25179693056 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 5179693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268133600).

5179693056 is an abundant number, since it is smaller than the sum of its proper divisors (9356574144).

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

5179693056 is a wasteful number, since it uses less digits than its factorization.

5179693056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44415 (or 44395 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The square root of 5179693056 is about 71970.0844518054. The cubic root of 5179693056 is about 1730.2200546481.

The spelling of 5179693056 in words is "five billion, one hundred seventy-nine million, six hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4864 6144 7296 9728 14592 19456 29184 38912 44371 58368 88742 116736 133113 177484 266226 354968 532452 709936 843049 1064904 1419872 1686098 2129808 2529147 2839744 3372196 4259616 5058294 5679488 6744392 8519232 10116588 11358976 13488784 17038464 20233176 22717952 26977568 34076928 40466352 45435904 53955136 68153856 80932704 90871808 107910272 136307712 161865408 215820544 272615424 323730816 431641088 647461632 863282176 1294923264 1726564352 2589846528 5179693056