Search a number
-
+
102080235298304 = 29417389748471
BaseRepresentation
bin10111001101011101101000…
…001010011101111000000000
3111101102202221010000211211202
4113031131220022131320000
5101334440310214021204
61001035002424400332
730334024251342644
oct2715355012357000
9441382833024752
10102080235298304
112a586a9166614a
12b547a003160a8
1344c61814a7b93
141b2c9d17aac24
15bc051b748e1e
hex5cd76829de00

102080235298304 has 160 divisors (see below), whose sum is σ = 214177927360320. Its totient is φ = 48561212620800.

The previous prime is 102080235298277. The next prime is 102080235298331. The reversal of 102080235298304 is 403892532080201.

It is an interprime number because it is at equal distance from previous prime (102080235298277) and next prime (102080235298331).

It is a congruent number.

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, 136010789 + ... + 136759259.

It is an arithmetic number, because the mean of its divisors is an integer number (1338612046002).

Almost surely, 2102080235298304 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 102080235298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107088963680160).

102080235298304 is an abundant number, since it is smaller than the sum of its proper divisors (112097692062016).

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

102080235298304 is an frugal number, since it uses more digits than its factorization.

102080235298304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748692 (or 748676 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 102080235298304 in words is "one hundred two trillion, eighty billion, two hundred thirty-five million, two hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 64 73 82 89 128 146 164 178 256 292 328 356 512 584 656 712 1168 1312 1424 2336 2624 2848 2993 3649 4672 5248 5696 5986 6497 7298 9344 10496 11392 11972 12994 14596 18688 20992 22784 23944 25988 29192 37376 45568 47888 51976 58384 95776 103952 116768 191552 207904 233536 266377 383104 415808 467072 532754 748471 766208 831616 934144 1065508 1496942 1532416 1663232 1868288 2131016 2993884 3326464 4262032 5987768 8524064 11975536 17048128 23951072 30687311 34096256 47902144 54638383 61374622 66613919 68192512 95804288 109276766 122749244 133227838 136385024 191608576 218553532 245498488 266455676 383217152 437107064 490996976 532911352 874214128 981993952 1065822704 1748428256 1963987904 2131645408 2240173703 2731170679 3496856512 3927975808 4263290816 4480347406 4862816087 5462341358 6993713024 7855951616 8526581632 8960694812 9725632174 10924682716 13987426048 15711903232 17053163264 17921389624 19451264348 21849365432 27974852096 34106326528 35842779248 38902528696 43698730864 71685558496 77805057392 87397461728 143371116992 155610114784 174794923456 199375459567 286742233984 311220229568 349589846912 398750919134 573484467968 622440459136 699179693824 797501838268 1146968935936 1244880918272 1398359387648 1595003676536 2489761836544 3190007353072 6380014706144 12760029412288 25520058824576 51040117649152 102080235298304