Search a number
-
+
15330859008 = 211310092473
BaseRepresentation
bin11100100011100101…
…00101100000000000
31110120102201022220220
432101302211200000
5222344144442013
611013133303040
71051625102643
oct162162454000
943512638826
1015330859008
116557963313
122b7a334a80
1315a425cb0a
14a5614ba5a
155eadbbb23
hex391ca5800

15330859008 has 96 divisors (see below), whose sum is σ = 40929361200. Its totient is φ = 5103157248.

The previous prime is 15330858989. The next prime is 15330859111. The reversal of 15330859008 is 80095803351.

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, 6198060 + ... + 6200532.

Almost surely, 215330859008 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 15330859008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20464680600).

15330859008 is an abundant number, since it is smaller than the sum of its proper divisors (25598502192).

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

15330859008 is a wasteful number, since it uses less digits than its factorization.

15330859008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 15330859008 in words is "fifteen billion, three hundred thirty million, eight hundred fifty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1009 1024 1536 2018 2048 2473 3027 3072 4036 4946 6054 6144 7419 8072 9892 12108 14838 16144 19784 24216 29676 32288 39568 48432 59352 64576 79136 96864 118704 129152 158272 193728 237408 258304 316544 387456 474816 516608 633088 774912 949632 1033216 1266176 1549824 1899264 2066432 2495257 2532352 3099648 3798528 4990514 5064704 6199296 7485771 7597056 9981028 14971542 15194112 19962056 29943084 39924112 59886168 79848224 119772336 159696448 239544672 319392896 479089344 638785792 958178688 1277571584 1916357376 2555143168 3832714752 5110286336 7665429504 15330859008