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104410230552 = 2334792837207
BaseRepresentation
bin110000100111101010…
…1011010111100011000
3100222111112021021020000
41201033111122330120
53202313004334202
6115544305333000
710354245213345
oct1411725327430
9328445237200
10104410230552
1140309942641
121829a937160
139acc415214
1450a6a7d7cc
152ab14e491c
hex184f55af18

104410230552 has 160 divisors (see below), whose sum is σ = 297234854400. Its totient is φ = 34236686016.

The previous prime is 104410230541. The next prime is 104410230569. The reversal of 104410230552 is 255032014401.

104410230552 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 102 + 3 + 0 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14483733 + ... + 14490939.

It is an arithmetic number, because the mean of its divisors is an integer number (1857717840).

Almost surely, 2104410230552 is an apocalyptic number.

104410230552 is a gapful number since it is divisible by the number (12) 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 104410230552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148617427200).

104410230552 is an abundant number, since it is smaller than the sum of its proper divisors (192824623848).

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

104410230552 is a wasteful number, since it uses less digits than its factorization.

104410230552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7574 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 104410230552 its reverse (255032014401), we get a palindrome (359442244953).

The spelling of 104410230552 in words is "one hundred four billion, four hundred ten million, two hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 283 316 324 474 566 632 648 711 849 948 1132 1422 1698 1896 2133 2264 2547 2844 3396 4266 5094 5688 6399 6792 7207 7641 8532 10188 12798 14414 15282 17064 20376 21621 22357 22923 25596 28828 30564 43242 44714 45846 51192 57656 61128 64863 67071 86484 89428 91692 129726 134142 172968 178856 183384 194589 201213 259452 268284 389178 402426 518904 536568 569353 583767 603639 778356 804852 1138706 1167534 1207278 1556712 1609704 1708059 1810917 2039581 2277412 2335068 2414556 3416118 3621834 4079162 4554824 4670136 4829112 5124177 6118743 6832236 7243668 8158324 10248354 12237486 13664472 14487336 15372531 16316648 18356229 20496708 24474972 30745062 36712458 40993416 46117593 48949944 55068687 61490124 73424916 92235186 110137374 122980248 146849832 161126899 165206061 184470372 220274748 322253798 330412122 368940744 440549496 483380697 644507596 660824244 966761394 1289015192 1321648488 1450142091 1933522788 2900284182 3867045576 4350426273 5800568364 8700852546 11601136728 13051278819 17401705092 26102557638 34803410184 52205115276 104410230552