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168626464656 = 243133128330803
BaseRepresentation
bin1001110100001011101…
…0111010011110010000
3121010020212102221211220
42131002322322132100
510230321333332111
6205244350205040
715116502204636
oct2350272723620
9533225387756
10168626464656
11655722747a1
12288207b3780
1312b94513390
148239493356
1545bde81e06
hex2742eba790

168626464656 has 160 divisors (see below), whose sum is σ = 485987561472. Its totient is φ = 50032304640.

The previous prime is 168626464639. The next prime is 168626464673. The reversal of 168626464656 is 656464626861.

168626464656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (168626464639) and next prime (168626464673).

It is a self number, because there is not a number n which added to its sum of digits gives 168626464656.

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, 5458951 + ... + 5489753.

Almost surely, 2168626464656 is an apocalyptic number.

168626464656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168626464656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242993780736).

168626464656 is an abundant number, since it is smaller than the sum of its proper divisors (317361096816).

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

168626464656 is a wasteful number, since it uses less digits than its factorization.

168626464656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31141 (or 31135 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 60.

The spelling of 168626464656 in words is "one hundred sixty-eight billion, six hundred twenty-six million, four hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 283 312 372 403 496 566 624 744 806 849 1132 1209 1488 1612 1698 2264 2418 3224 3396 3679 4528 4836 6448 6792 7358 8773 9672 11037 13584 14716 17546 19344 22074 26319 29432 30803 35092 44148 52638 58864 61606 70184 88296 92409 105276 114049 123212 140368 176592 184818 210552 228098 246424 342147 369636 400439 421104 456196 492848 684294 739272 800878 912392 954893 1201317 1368588 1478544 1601756 1824784 1909786 2402634 2737176 2864679 3203512 3819572 4805268 5474352 5729358 6407024 7639144 8717249 9610536 11458716 12413609 15278288 17434498 19221072 22917432 24827218 26151747 34868996 37240827 45834864 49654436 52303494 69737992 74481654 99308872 104606988 113324237 139475984 148963308 198617744 209213976 226648474 270234719 297926616 339972711 418427952 453296948 540469438 595853232 679945422 810704157 906593896 1080938876 1359890844 1621408314 1813187792 2161877752 2719781688 3242816628 3513051347 4323755504 5439563376 6485633256 7026102694 10539154041 12971266512 14052205388 21078308082 28104410776 42156616164 56208821552 84313232328 168626464656