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67105042656 = 25315122720393
BaseRepresentation
bin111110011111110001…
…011011000011100000
320102012122222100222020
4332133301123003200
52044412342331111
650454433541440
74563632310531
oct763761330340
9212178870866
1067105042656
1126506057843
1211009414880
136435750c42
143368354688
151b2b3ba906
hexf9fc5b0e0

67105042656 has 96 divisors (see below), whose sum is σ = 178107164928. Its totient is φ = 22121241600.

The previous prime is 67105042639. The next prime is 67105042699. The reversal of 67105042656 is 65624050176.

It is a tau number, because it is divible by the number of its divisors (96).

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, 3280396 + ... + 3300788.

It is an arithmetic number, because the mean of its divisors is an integer number (1855282968).

Almost surely, 267105042656 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 67105042656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89053582464).

67105042656 is an abundant number, since it is smaller than the sum of its proper divisors (111002122272).

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

67105042656 is a wasteful number, since it uses less digits than its factorization.

67105042656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20784 (or 20776 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 67105042656 in words is "sixty-seven billion, one hundred five million, forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 227 302 453 454 604 681 906 908 1208 1362 1812 1816 2416 2724 3624 3632 4832 5448 7248 7264 10896 14496 20393 21792 34277 40786 61179 68554 81572 102831 122358 137108 163144 205662 244716 274216 326288 411324 489432 548432 652576 822648 978864 1096864 1645296 1957728 3079343 3290592 4629211 6158686 9238029 9258422 12317372 13887633 18476058 18516844 24634744 27775266 36952116 37033688 49269488 55550532 73904232 74067376 98538976 111101064 147808464 148134752 222202128 295616928 444404256 699010861 1398021722 2097032583 2796043444 4194065166 5592086888 8388130332 11184173776 16776260664 22368347552 33552521328 67105042656