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56975151792 = 243135315710973
BaseRepresentation
bin110101000011111110…
…111101001010110000
312110001200210121002010
4311003332331022300
51413141114324132
642101331122520
74054616541156
oct650376751260
9173050717063
1056975151792
1122187a95909
12b060a43440
1354acb85890
142a86c5d3d6
151736e016cc
hexd43fbd2b0

56975151792 has 160 divisors (see below), whose sum is σ = 162541971648. Its totient is φ = 17088933888.

The previous prime is 56975151773. The next prime is 56975151841. The reversal of 56975151792 is 29715157965.

It is a super-2 number, since 2×569751517922 (a number of 22 digits) contains 22 as substring.

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, 5186818 + ... + 5197790.

Almost surely, 256975151792 is an apocalyptic number.

56975151792 is a gapful number since it is divisible by the number (52) 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 56975151792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81270985824).

56975151792 is an abundant number, since it is smaller than the sum of its proper divisors (105566819856).

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

56975151792 is a wasteful number, since it uses less digits than its factorization.

56975151792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11207 (or 11201 counting only the distinct ones).

The product of its digits is 5953500, while the sum is 57.

The spelling of 56975151792 in words is "fifty-six billion, nine hundred seventy-five million, one hundred fifty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 157 159 208 212 312 314 318 424 471 624 628 636 689 848 942 1256 1272 1378 1884 2041 2067 2512 2544 2756 3768 4082 4134 5512 6123 7536 8164 8268 8321 10973 11024 12246 16328 16536 16642 21946 24492 24963 32656 32919 33072 33284 43892 48984 49926 65838 66568 87784 97968 99852 108173 131676 133136 142649 175568 199704 216346 263352 285298 324519 399408 427947 432692 526704 570596 581569 649038 855894 865384 1141192 1163138 1298076 1711788 1722761 1730768 1744707 2282384 2326276 2596152 3423576 3445522 3489414 4652552 5168283 5192304 6847152 6891044 6978828 7560397 9305104 10336566 13782088 13957656 15120794 20673132 22395893 22681191 27564176 27915312 30241588 41346264 44791786 45362382 60483176 67187679 82692528 89583572 90724764 91306333 120966352 134375358 179167144 181449528 182612666 268750716 273918999 358334288 362899056 365225332 537501432 547837998 730450664 1075002864 1095675996 1186982329 1460901328 2191351992 2373964658 3560946987 4382703984 4747929316 7121893974 9495858632 14243787948 18991717264 28487575896 56975151792