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68945841298512 = 24323738861332989
BaseRepresentation
bin11111010110100101101000…
…11000010001110001010000
3100001010011021020001020201200
433223102310120101301100
533014102040333023022
6402345140544031200
720344113135354063
oct1753226430216120
9301104236036650
1068945841298512
111aa71848aa9202
1278961ba902500
132c61746222349
141304dd46668da
157e868d766bac
hex3eb4b4611c50

68945841298512 has 120 divisors (see below), whose sum is σ = 198173227117320. Its totient is φ = 22360170839040.

The previous prime is 68945841298487. The next prime is 68945841298517. The reversal of 68945841298512 is 21589214854986.

68945841298512 is a `hidden beast` number, since 6 + 8 + 9 + 4 + 5 + 8 + 4 + 12 + 98 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45605115960336 + 23340725338176 = 6753156^2 + 4831224^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68945841298517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206884914 + ... + 207217902.

It is an arithmetic number, because the mean of its divisors is an integer number (1651443559311).

Almost surely, 268945841298512 is an apocalyptic number.

It is an amenable number.

68945841298512 is an abundant number, since it is smaller than the sum of its proper divisors (129227385818808).

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

68945841298512 is a wasteful number, since it uses less digits than its factorization.

68945841298512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371901 (or 371892 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 72.

The spelling of 68945841298512 in words is "sixty-eight trillion, nine hundred forty-five billion, eight hundred forty-one million, two hundred ninety-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 38861 77722 116583 155444 233166 310888 332989 349749 466332 621776 665978 699498 932664 998967 1331956 1398996 1437857 1865328 1997934 2663912 2797992 2875714 2996901 3995868 4313571 5327824 5595984 5751428 5993802 7991736 8627142 11502856 11987604 12320593 12940713 15983472 17254284 23005712 23975208 24641186 25881426 34508568 36961779 47950416 49282372 51762852 69017136 73923558 98564744 103525704 110885337 147847116 197129488 207051408 221770674 295694232 443541348 591388464 887082696 1774165392 12940285529 25880571058 38820856587 51761142116 77641713174 103522284232 116462569761 155283426348 207044568464 232925139522 310566852696 465850279044 478790564573 621133705392 931700558088 957581129146 1436371693719 1863401116176 1915162258292 2872743387438 3830324516584 4309115081157 5745486774876 7660649033168 8618230162314 11490973549752 17236460324628 22981947099504 34472920649256 68945841298512