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55671023145582 = 232134320857265273
BaseRepresentation
bin11001010100001111010111…
…00011110001001001101110
321022010002122022201001210200
430222013223203301021232
524244103223411124312
6314222525344414330
714504045565001545
oct1452075343611156
9238102568631720
1055671023145582
1116813a48252679
1262b15010173a6
13250a9a7841370
14da66c5aa115c
156681e75640dc
hex32a1eb8f126e

55671023145582 has 96 divisors (see below), whose sum is σ = 132926836250208. Its totient is φ = 16730318803968.

The previous prime is 55671023145557. The next prime is 55671023145583. The reversal of 55671023145582 is 28554132017655.

55671023145582 is a `hidden beast` number, since 5 + 5 + 6 + 7 + 10 + 2 + 3 + 1 + 45 + 582 = 666.

It is a super-2 number, since 2×556710231455822 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55671023145583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209730498 + ... + 209995770.

It is an arithmetic number, because the mean of its divisors is an integer number (1384654544273).

Almost surely, 255671023145582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55671023145582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66463418125104).

55671023145582 is an abundant number, since it is smaller than the sum of its proper divisors (77255813104626).

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

55671023145582 is a wasteful number, since it uses less digits than its factorization.

55671023145582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286194 (or 286191 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 55671023145582 in words is "fifty-five trillion, six hundred seventy-one billion, twenty-three million, one hundred forty-five thousand, five hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 3354 5031 10062 20857 41714 62571 125142 187713 265273 271141 375426 530546 542282 795819 813423 896851 1591638 1626846 1793702 2387457 2440269 2690553 3448549 4774914 4880538 5381106 6897098 8071659 10345647 11406739 11659063 16143318 20691294 22813478 23318126 31036941 34220217 34977189 62073882 68440434 69954378 102660651 104931567 148287607 205321302 209863134 296575214 444862821 889725642 1334588463 2669176926 5532798961 11065597922 16598396883 33196793766 49795190649 71926386493 99590381298 143852772986 215779159479 237910355323 431558318958 475820710646 647337478437 713731065969 1294674956874 1427462131938 2141193197907 3092834619199 4282386395814 6185669238398 9278503857597 18557007715194 27835511572791 55671023145582