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68751592128 = 263460122067
BaseRepresentation
bin100000000000111101…
…0100000101011000000
320120110102020202020000
41000001322200223000
52111300401422003
651330053120000
74652504614362
oct1000172405300
9216412222200
1068751592128
112718053282a
12113a8929000
13663890467b
143482cc4d32
151bc5c121a3
hex1001ea0ac0

68751592128 has 140 divisors (see below), whose sum is σ = 204149611512. Its totient is φ = 22878028800.

The previous prime is 68751592121. The next prime is 68751592159. The reversal of 68751592128 is 82129515786.

68751592128 is a `hidden beast` number, since 6 + 87 + 515 + 9 + 21 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (68751592121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3104551 + ... + 3126617.

Almost surely, 268751592128 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 68751592128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102074805756).

68751592128 is an abundant number, since it is smaller than the sum of its proper divisors (135398019384).

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

68751592128 is a wasteful number, since it uses less digits than its factorization.

68751592128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22692 (or 22673 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 68751592128 in words is "sixty-eight billion, seven hundred fifty-one million, five hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 601 648 864 1202 1296 1728 1803 2404 2592 3606 4808 5184 5409 7212 9616 10818 14424 16227 19232 21636 22067 28848 32454 38464 43272 44134 48681 57696 64908 66201 86544 88268 97362 115392 129816 132402 173088 176536 194724 198603 259632 264804 346176 353072 389448 397206 519264 529608 595809 706144 778896 794412 1038528 1059216 1191618 1412288 1557792 1588824 1787427 2118432 2383236 3115584 3177648 3574854 4236864 4766472 6355296 7149708 9532944 12710592 13262267 14299416 19065888 26524534 28598832 38131776 39786801 53049068 57197664 79573602 106098136 114395328 119360403 159147204 212196272 238720806 318294408 358081209 424392544 477441612 636588816 716162418 848785088 954883224 1074243627 1273177632 1432324836 1909766448 2148487254 2546355264 2864649672 3819532896 4296974508 5729299344 7639065792 8593949016 11458598688 17187898032 22917197376 34375796064 68751592128