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104332545744 = 24377910973583
BaseRepresentation
bin110000100101010110…
…1000100111011010000
3100222022010002110200220
41201022231010323100
53202133112430434
6115532452313040
710352313002130
oct1411255047320
9328263073626
10104332545744
114027a002919
1218278912780
139ab92b588b
14509a61aac0
152aa979bd49
hex184ab44ed0

104332545744 has 160 divisors (see below), whose sum is σ = 312300011520. Its totient is φ = 29396929536.

The previous prime is 104332545731. The next prime is 104332545767. The reversal of 104332545744 is 447545233401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 104332545696 and 104332545705.

It is a congruent number.

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, 29116977 + ... + 29120559.

It is an arithmetic number, because the mean of its divisors is an integer number (1951875072).

Almost surely, 2104332545744 is an apocalyptic number.

104332545744 is a gapful number since it is divisible by the number (14) 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 104332545744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156150005760).

104332545744 is an abundant number, since it is smaller than the sum of its proper divisors (207967465776).

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

104332545744 is a wasteful number, since it uses less digits than its factorization.

104332545744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 104332545744 in words is "one hundred four billion, three hundred thirty-two million, five hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1097 1106 1264 1659 1896 2194 2212 3291 3318 3583 3792 4388 4424 6582 6636 7166 7679 8776 8848 10749 13164 13272 14332 15358 17552 21498 23037 25081 26328 26544 28664 30716 42996 46074 50162 52656 57328 61432 75243 85992 86663 92148 100324 122864 150486 171984 173326 184296 200648 259989 283057 300972 346652 368592 401296 519978 566114 601944 606641 693304 849171 1039956 1132228 1203888 1213282 1386608 1698342 1819923 1981399 2079912 2264456 2426564 3396684 3639846 3930551 3962798 4159824 4528912 4853128 5944197 6793368 7279692 7861102 7925596 9706256 11791653 11888394 13586736 14559384 15722204 15851192 23583306 23776788 27513857 29118768 31444408 31702384 47166612 47553576 55027714 62888816 82541571 94333224 95107152 110055428 165083142 188666448 220110856 310513529 330166284 440221712 621027058 660332568 931540587 1242054116 1320665136 1863081174 2173594703 2484108232 3726162348 4347189406 4968216464 6520784109 7452324696 8694378812 13041568218 14904649392 17388757624 26083136436 34777515248 52166272872 104332545744