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27014016764 = 22719234351343
BaseRepresentation
bin11001001010001010…
…010010111011111100
32120201122122020102102
4121022022102323330
5420311042014024
620224324044232
71644301232240
oct311212227374
976648566372
1027014016764
1110502787699
12529ab33678
13271687a807
141443a50420
15a819031ae
hex64a292efc

27014016764 has 96 divisors (see below), whose sum is σ = 60725575680. Its totient is φ = 10247041728.

The previous prime is 27014016761. The next prime is 27014016781. The reversal of 27014016764 is 46761041072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27014016761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500477 + ... + 551819.

It is an arithmetic number, because the mean of its divisors is an integer number (632558080).

Almost surely, 227014016764 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 27014016764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30362787840).

27014016764 is an abundant number, since it is smaller than the sum of its proper divisors (33711558916).

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

27014016764 is a wasteful number, since it uses less digits than its factorization.

27014016764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51439 (or 51437 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 27014016764 in words is "twenty-seven billion, fourteen million, sixteen thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 19 23 28 38 43 46 76 86 92 133 161 172 266 301 322 437 532 602 644 817 874 989 1204 1634 1748 1978 3059 3268 3956 5719 6118 6923 11438 12236 13846 18791 22876 27692 37582 51343 75164 102686 131537 205372 263074 359401 526148 718802 975517 1180889 1437604 1951034 2207749 2361778 3902068 4415498 4723556 6828619 8266223 8830996 13657238 15454243 16532446 22436891 27314476 30908486 33064892 41947231 44873782 50778227 61816972 83894462 89747564 101556454 157058237 167788924 203112908 293630617 314116474 355447589 587261234 628232948 710895178 964786313 1174522468 1421790356 1929572626 3859145252 6753504191 13507008382 27014016764