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5332760496 = 243372376673
BaseRepresentation
bin1001111011101101…
…10111011110110000
3111202122112022011000
410331312313132300
541410141313441
62241055322000
7246102500460
oct47566673660
914678468130
105332760496
112297227988
121049b20300
1366ca89cab
14388361ba0
152132872b6
hex13ddb77b0

5332760496 has 160 divisors (see below), whose sum is σ = 18254545920. Its totient is φ = 1457381376.

The previous prime is 5332760479. The next prime is 5332760557. The reversal of 5332760496 is 6940672335.

5332760496 is a `hidden beast` number, since 5 + 3 + 32 + 7 + 604 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31216 + ... + 107888.

It is an arithmetic number, because the mean of its divisors is an integer number (114090912).

Almost surely, 25332760496 is an apocalyptic number.

5332760496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5332760496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127272960).

5332760496 is an abundant number, since it is smaller than the sum of its proper divisors (12921785424).

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

5332760496 is a wasteful number, since it uses less digits than its factorization.

5332760496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76720 (or 76708 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 5332760496 is about 73025.7522795897. The cubic root of 5332760496 is about 1747.0983747950.

The spelling of 5332760496 in words is "five billion, three hundred thirty-two million, seven hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1512 1656 1932 2484 2576 2898 3024 3312 3864 4347 4968 5796 7728 8694 9936 11592 17388 23184 34776 69552 76673 153346 230019 306692 460038 536711 613384 690057 920076 1073422 1226768 1380114 1610133 1763479 1840152 2070171 2146844 2760228 3220266 3526958 3680304 4140342 4293688 4830399 5290437 5520456 6440532 7053916 8280684 8587376 9660798 10580874 11040912 12344353 12881064 14107832 14491197 15871311 16561368 19321596 21161748 24688706 25762128 28215664 28982394 31742622 33122736 37033059 38643192 42323496 47613933 49377412 57964788 63485244 74066118 77286384 84646992 95227866 98754824 111099177 115929576 126970488 148132236 190455732 197509648 222198354 231859152 253940976 296264472 333297531 380911464 444396708 592528944 666595062 761822928 888793416 1333190124 1777586832 2666380248 5332760496