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56958158656 = 267196691513
BaseRepresentation
bin110101000010111110…
…001000011101000000
312110000111211020212201
4311002332020131000
51413122242034111
642055523002544
74054322234410
oct650276103500
9173014736781
1056958158656
11221794396a3
12b057209454
1354a94b5c79
142a848b8640
1517356966c1
hexd42f88740

56958158656 has 56 divisors (see below), whose sum is σ = 135971564480. Its totient is φ = 23125865472.

The previous prime is 56958158581. The next prime is 56958158659. The reversal of 56958158656 is 65685185965.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×569581586563 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56958158659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3337245 + ... + 3354268.

Almost surely, 256958158656 is an apocalyptic number.

56958158656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56958158656 is an abundant number, since it is smaller than the sum of its proper divisors (79013405824).

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

56958158656 is a wasteful number, since it uses less digits than its factorization.

56958158656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691551 (or 6691541 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 64.

The spelling of 56958158656 in words is "fifty-six billion, nine hundred fifty-eight million, one hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 6691513 13383026 26766052 46840591 53532104 93681182 107064208 127138747 187362364 214128416 254277494 374724728 428256832 508554988 749449456 889971229 1017109976 1498898912 1779942458 2034219952 2997797824 3559884916 4068439904 7119769832 8136879808 14239539664 28479079328 56958158656