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55867962682664 = 231123294051234959
BaseRepresentation
bin11001011001111110001100…
…00100011110110100101000
321022210220222101012010102122
430230333012010132310220
524310320041421321124
6314453215430250412
714524220124310256
oct1454770604366450
9238726871163378
1055867962682664
111688a519506780
1263237037b6a08
132523431a99422
14db204951b5d6
1566d3c1e9e75e
hex32cfc611ed28

55867962682664 has 128 divisors (see below), whose sum is σ = 123386706432000. Its totient is φ = 23446928736000.

The previous prime is 55867962682657. The next prime is 55867962682667. The reversal of 55867962682664 is 46628626976855.

55867962682664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×558679626826642 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55867962682667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237660017 + ... + 237894975.

It is an arithmetic number, because the mean of its divisors is an integer number (963958644000).

Almost surely, 255867962682664 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 55867962682664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61693353216000).

55867962682664 is an abundant number, since it is smaller than the sum of its proper divisors (67518743749336).

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

55867962682664 is a wasteful number, since it uses less digits than its factorization.

55867962682664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239079 (or 239075 counting only the distinct ones).

The product of its digits is 12541132800, while the sum is 80.

The spelling of 55867962682664 in words is "fifty-five trillion, eight hundred sixty-seven billion, nine hundred sixty-two million, six hundred eighty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 29 44 46 58 88 92 116 184 232 253 319 506 638 667 1012 1276 1334 2024 2552 2668 4051 5336 7337 8102 14674 16204 29348 32408 44561 58696 89122 93173 117479 178244 186346 234958 234959 356488 372692 469916 469918 745384 939832 939836 1024903 1292269 1879672 2049806 2584538 2584549 2702017 4099612 5169076 5169098 5404034 5404057 6813811 8199224 10338152 10338196 10808068 10808114 13627622 20676392 21616136 21616228 27255244 29722187 43232456 54510488 59444374 59444627 74951921 118888748 118889254 149903842 156717653 237777496 237778508 299807684 313435306 475557016 599615368 626870612 951818909 1253741224 1723894183 1903637818 3447788366 3807275636 6895576732 7614551272 10470007999 13791153464 20940015998 21891834907 27602748361 41880031996 43783669814 55205496722 83760063992 87567339628 110410993444 175134679256 220821986888 240810183977 303630231971 481620367954 607260463942 634863212303 963240735908 1214520927884 1269726424606 1926481471816 2429041855768 2539452849212 5078905698424 6983495335333 13966990670666 27933981341332 55867962682664