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57663273136 = 24723414312697
BaseRepresentation
bin110101101100111111…
…111011100010110000
312111211122121210002211
4311230333323202300
51421043244220021
642253512021504
74110643506640
oct655477734260
9174748553084
1057663273136
1122500461637
12b213391894
13558c5c6281
142b103c4520
1517775293e1
hexd6cffb8b0

57663273136 has 160 divisors (see below), whose sum is σ = 139669060608. Its totient is φ = 22523719680.

The previous prime is 57663273133. The next prime is 57663273137. The reversal of 57663273136 is 63137236675.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 57663273136.

It is not an unprimeable number, because it can be changed into a prime (57663273133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4535140 + ... + 4547836.

Almost surely, 257663273136 is an apocalyptic number.

57663273136 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 57663273136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69834530304).

57663273136 is an abundant number, since it is smaller than the sum of its proper divisors (82005787472).

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

57663273136 is a wasteful number, since it uses less digits than its factorization.

57663273136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12819 (or 12813 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 49.

The spelling of 57663273136 in words is "fifty-seven billion, six hundred sixty-three million, two hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 41 43 46 56 82 86 92 112 161 164 172 184 287 301 322 328 344 368 574 602 644 656 688 943 989 1148 1204 1288 1763 1886 1978 2296 2408 2576 3526 3772 3956 4592 4816 6601 6923 7052 7544 7912 12341 12697 13202 13846 14104 15088 15824 24682 25394 26404 27692 28208 40549 49364 50788 52808 55384 81098 88879 98728 101576 105616 110768 162196 177758 197456 203152 283843 292031 324392 355516 520577 545971 567686 584062 648784 711032 1041154 1091942 1135372 1168124 1422064 2044217 2082308 2183884 2270744 2336248 3644039 3821797 4088434 4164616 4367768 4541488 4672496 7288078 7643594 8176868 8329232 8735536 11973271 12557333 14576156 15287188 16353736 22384811 23946542 25114666 29152312 30574376 32707472 44769622 47893084 50229332 58304624 61148752 83812897 87901331 89539244 95786168 100458664 156693677 167625794 175802662 179078488 191572336 200917328 313387354 335251588 351605324 358156976 514850653 626774708 670503176 703210648 1029701306 1253549416 1341006352 1406421296 2059402612 2507098832 3603954571 4118805224 7207909142 8237610448 14415818284 28831636568 57663273136