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681215105544 = 233313138113607
BaseRepresentation
bin10011110100110111001…
…01011001101000001000
32102010100001101212221020
421322123211121220020
542130112031334134
61240540151512440
7100134100600251
oct11723345315010
92363301355836
10681215105544
112429a1193436
12b0035688720
134c31374518c
1424d84561b28
1512abed5cb49
hex9e9b959a08

681215105544 has 128 divisors (see below), whose sum is σ = 1766255124480. Its totient is φ = 218713996800.

The previous prime is 681215105539. The next prime is 681215105591. The reversal of 681215105544 is 445501512186.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 681215105496 and 681215105505.

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 31 ways as a sum of consecutive naturals, for example, 188857389 + ... + 188860995.

It is an arithmetic number, because the mean of its divisors is an integer number (13798868160).

Almost surely, 2681215105544 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 681215105544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883127562240).

681215105544 is an abundant number, since it is smaller than the sum of its proper divisors (1085040018936).

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

681215105544 is a wasteful number, since it uses less digits than its factorization.

681215105544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4767 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 681215105544 in words is "six hundred eighty-one billion, two hundred fifteen million, one hundred five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 313 372 626 744 811 939 1252 1622 1878 2433 2504 3244 3607 3756 4866 6488 7214 7512 9703 9732 10821 14428 19406 19464 21642 25141 28856 29109 38812 43284 50282 58218 75423 77624 86568 100564 111817 116436 150846 201128 223634 232872 253843 301692 335451 447268 507686 603384 670902 761529 894536 1015372 1128991 1341804 1523058 2030744 2257982 2683608 2925277 3046116 3386973 4515964 5850554 6092232 6773946 7869133 8775831 9031928 11701108 13547892 15738266 17551662 23402216 23607399 27095784 31476532 34998721 35103324 47214798 62953064 69997442 70206648 90683587 94429596 104996163 139994884 181367174 188859192 209992326 272050761 279989768 362734348 419984652 544101522 725468696 839969304 915611701 1088203044 1831223402 2176406088 2746835103 3662446804 5493670206 7324893608 10987340412 21974680824 28383962731 56767925462 85151888193 113535850924 170303776386 227071701848 340607552772 681215105544