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5380054656 = 27347307971
BaseRepresentation
bin1010000001010110…
…10001111010000000
3111212221112002112120
411000223101322000
542004243222111
62245505124240
7250215465354
oct50053217200
914787462476
105380054656
11231099a769
121061929680
136798088c2
14390753464
152174ca406
hex140ad1e80

5380054656 has 128 divisors (see below), whose sum is σ = 14657448960. Its totient is φ = 1747676160.

The previous prime is 5380054643. The next prime is 5380054663. The reversal of 5380054656 is 6564500835.

It is a happy number.

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

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, 5540251 + ... + 5541221.

It is an arithmetic number, because the mean of its divisors is an integer number (114511320).

Almost surely, 25380054656 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 5380054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328724480).

5380054656 is an abundant number, since it is smaller than the sum of its proper divisors (9277394304).

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

5380054656 is a wasteful number, since it uses less digits than its factorization.

5380054656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 5380054656 is about 73348.8558601973. The cubic root of 5380054656 is about 1752.2479580663.

The spelling of 5380054656 in words is "five billion, three hundred eighty million, fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 307 376 384 564 614 752 921 971 1128 1228 1504 1842 1942 2256 2456 2913 3008 3684 3884 4512 4912 5826 6016 7368 7768 9024 9824 11652 14429 14736 15536 18048 19648 23304 28858 29472 31072 39296 43287 45637 46608 57716 58944 62144 86574 91274 93216 115432 117888 124288 136911 173148 182548 186432 230864 273822 298097 346296 365096 372864 461728 547644 596194 692592 730192 894291 923456 1095288 1192388 1385184 1460384 1788582 1846912 2190576 2384776 2770368 2920768 3577164 4381152 4769552 5540736 5841536 7154328 8762304 9539104 14010559 14308656 17524608 19078208 28021118 28617312 38156416 42031677 56042236 57234624 84063354 112084472 114469248 168126708 224168944 336253416 448337888 672506832 896675776 1345013664 1793351552 2690027328 5380054656