Search a number
-
+
14959708544 = 271167347457
BaseRepresentation
bin11011110111010101…
…10000100110000000
31102121120022221012102
431323222300212000
5221114141133134
610512234245532
71036500265424
oct157352604600
942546287172
1014959708544
1163874024a0
122a95b868a8
1315453ac961
14a1cb36b84
155c850637e
hex37bab0980

14959708544 has 128 divisors (see below), whose sum is σ = 33164622720. Its totient is φ = 6664458240.

The previous prime is 14959708529. The next prime is 14959708607. The reversal of 14959708544 is 44580795941.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14959708544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32734364 + ... + 32734820.

It is an arithmetic number, because the mean of its divisors is an integer number (259098615).

Almost surely, 214959708544 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 14959708544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582311360).

14959708544 is an abundant number, since it is smaller than the sum of its proper divisors (18204914176).

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

14959708544 is a wasteful number, since it uses less digits than its factorization.

14959708544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 14959708544 in words is "fourteen billion, nine hundred fifty-nine million, seven hundred eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 268 347 352 457 536 694 704 737 914 1072 1388 1408 1474 1828 2144 2776 2948 3656 3817 4288 5027 5552 5896 7312 7634 8576 10054 11104 11792 14624 15268 20108 22208 23249 23584 29248 30536 30619 40216 44416 46498 47168 58496 61072 61238 80432 92996 94336 122144 122476 158579 160864 185992 244288 244952 255739 317158 321728 336809 371984 488576 489904 511478 634316 643456 673618 743968 979808 1022956 1268632 1347236 1487936 1744369 1959616 2045912 2537264 2694472 2975872 3488738 3919232 4091824 5074528 5388944 6977476 8183648 10149056 10624793 10777888 13954952 16367296 20298112 21249586 21555776 27909904 32734592 42499172 43111552 55819808 84998344 111639616 116872723 169996688 223279232 233745446 339993376 467490892 679986752 934981784 1359973504 1869963568 3739927136 7479854272 14959708544