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4755563136 = 27341726981
BaseRepresentation
bin1000110110111010…
…00010001010000000
3110021102102122020000
410123131002022000
534214411010021
62103520120000
7225563422362
oct43335021200
913242378200
104755563136
112020433a75
12b08766000
135aa3163ac
14331832d32
151cc770b26
hex11b742280

4755563136 has 160 divisors (see below), whose sum is σ = 14985532980. Its totient is φ = 1491886080.

The previous prime is 4755563129. The next prime is 4755563161. The reversal of 4755563136 is 6313655574.

4755563136 is a `hidden beast` number, since 4 + 7 + 5 + 5 + 5 + 631 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4727937600 + 27625536 = 68760^2 + 5256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4755563091 and 4755563100.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 162766 + ... + 189746.

Almost surely, 24755563136 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 4755563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7492766490).

4755563136 is an abundant number, since it is smaller than the sum of its proper divisors (10229969844).

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

4755563136 is a wasteful number, since it uses less digits than its factorization.

4755563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27024 (or 27003 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The square root of 4755563136 is about 68960.5911807606. The cubic root of 4755563136 is about 1681.6436974187.

The spelling of 4755563136 in words is "four billion, seven hundred fifty-five million, five hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3264 3456 3672 4896 5184 5508 6528 7344 9792 10368 11016 14688 19584 22032 26981 29376 44064 53962 58752 80943 88128 107924 161886 176256 215848 242829 323772 431696 458677 485658 647544 728487 863392 917354 971316 1295088 1376031 1456974 1726784 1834708 1942632 2185461 2590176 2752062 2913948 3453568 3669416 3885264 4128093 4370922 5180352 5504124 5827896 7338832 7770528 8256186 8741844 10360704 11008248 11655792 12384279 14677664 15541056 16512372 17483688 22016496 23311584 24768558 29355328 31082112 33024744 34967376 37152837 44032992 46623168 49537116 58710656 66049488 69934752 74305674 88065984 93246336 99074232 132098976 139869504 148611348 176131968 198148464 264197952 279739008 297222696 396296928 528395904 594445392 792593856 1188890784 1585187712 2377781568 4755563136