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104053033664 = 2619831397417
BaseRepresentation
bin110000011101000001…
…0110100101011000000
3100221120122010210012122
41200322002310223000
53201100034034124
6115445025343412
710342350123116
oct1407202645300
9327518123178
10104053033664
11401462522a8
12181bb197b68
139a7340c308
14507145bab6
152a8ee8875e
hex183a0b4ac0

104053033664 has 112 divisors (see below), whose sum is σ = 221578627200. Its totient is φ = 48337606656.

The previous prime is 104053033633. The next prime is 104053033703. The reversal of 104053033664 is 466330350401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14025284 + ... + 14032700.

It is an arithmetic number, because the mean of its divisors is an integer number (1978380600).

Almost surely, 2104053033664 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 104053033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110789313600).

104053033664 is an abundant number, since it is smaller than the sum of its proper divisors (117525593536).

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

104053033664 is a wasteful number, since it uses less digits than its factorization.

104053033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 104053033664 in words is "one hundred four billion, fifty-three million, thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 139 152 166 278 304 332 556 608 664 1112 1216 1328 1577 2224 2641 2656 3154 4448 5282 5312 6308 7417 8896 10564 11537 12616 14834 21128 23074 25232 29668 42256 46148 50464 59336 84512 92296 100928 118672 140923 169024 184592 219203 237344 281846 369184 438406 474688 563692 615611 738368 876812 1030963 1127384 1231222 1753624 2061926 2254768 2462444 3507248 4123852 4509536 4924888 7014496 8247704 9019072 9849776 11696609 14028992 16495408 19588297 19699552 23393218 32990816 39176594 39399104 46786436 65981632 78353188 85569929 93572872 156706376 171139858 187145744 313412752 342279716 374291488 626825504 684559432 748582976 1253651008 1369118864 1625828651 2738237728 3251657302 5476475456 6503314604 13006629208 26013258416 52026516832 104053033664