Search a number
-
+
5151285504 = 28333172351
BaseRepresentation
bin1001100110000101…
…00110000100000000
3111022000001102021000
410303002212010000
541022212114004
62211053532000
7241440130041
oct46302460400
914260042230
105151285504
112203848052
12bb91a4000
136412ba941
1436c2028c8
1520238bc39
hex1330a6100

5151285504 has 144 divisors (see below), whose sum is σ = 15287811840. Its totient is φ = 1710950400.

The previous prime is 5151285497. The next prime is 5151285511. The reversal of 5151285504 is 4055821515.

5151285504 is a `hidden beast` number, since 51 + 51 + 2 + 8 + 550 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5151285497) and next prime (5151285511).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2189929 + ... + 2192279.

It is an arithmetic number, because the mean of its divisors is an integer number (106165360).

Almost surely, 25151285504 is an apocalyptic number.

5151285504 is a gapful number since it is divisible by the number (54) 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 5151285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643905920).

5151285504 is an abundant number, since it is smaller than the sum of its proper divisors (10136526336).

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

5151285504 is a wasteful number, since it uses less digits than its factorization.

5151285504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 5151285504 is about 71772.4564439591. The cubic root of 5151285504 is about 1727.0511766391.

The spelling of 5151285504 in words is "five billion, one hundred fifty-one million, two hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 317 384 432 576 634 768 864 951 1152 1268 1728 1902 2304 2351 2536 2853 3456 3804 4702 5072 5706 6912 7053 7608 8559 9404 10144 11412 14106 15216 17118 18808 20288 21159 22824 28212 30432 34236 37616 40576 42318 45648 56424 60864 63477 68472 75232 81152 84636 91296 112848 121728 126954 136944 150464 169272 182592 225696 243456 253908 273888 300928 338544 365184 451392 507816 547776 601856 677088 730368 745267 902784 1015632 1095552 1354176 1490534 1805568 2031264 2191104 2235801 2708352 2981068 4062528 4471602 5416704 5962136 6707403 8125056 8943204 11924272 13414806 16250112 17886408 20122209 23848544 26829612 35772816 40244418 47697088 53659224 71545632 80488836 95394176 107318448 143091264 160977672 190788352 214636896 286182528 321955344 429273792 572365056 643910688 858547584 1287821376 1717095168 2575642752 5151285504