Search a number
-
+
675417455856 = 2433111310933331
BaseRepresentation
bin10011101010000100000…
…01000111110011110000
32101120101000002202201000
421311002001013303300
542031223332041411
61234141004042000
766540321435423
oct11650201076360
92346330082630
10675417455856
11240496600410
12aaa97b33300
134b8cb577430
14249945879ba
1512880d95956
hex9d42047cf0

675417455856 has 160 divisors (see below), whose sum is σ = 2277631722240. Its totient is φ = 188927942400.

The previous prime is 675417455819. The next prime is 675417455861. The reversal of 675417455856 is 658554714576.

It is a happy number.

675417455856 is a `hidden beast` number, since 6 + 7 + 5 + 4 + 1 + 7 + 45 + 585 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 675417455793 and 675417455802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5404890 + ... + 5528441.

It is an arithmetic number, because the mean of its divisors is an integer number (14235198264).

Almost surely, 2675417455856 is an apocalyptic number.

675417455856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

675417455856 is an abundant number, since it is smaller than the sum of its proper divisors (1602214266384).

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

675417455856 is a wasteful number, since it uses less digits than its factorization.

675417455856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10933372 (or 10933360 counting only the distinct ones).

The product of its digits is 141120000, while the sum is 63.

The spelling of 675417455856 in words is "six hundred seventy-five billion, four hundred seventeen million, four hundred fifty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5616 6864 7722 10296 15444 20592 30888 61776 10933331 21866662 32799993 43733324 65599986 87466648 98399979 120266641 131199972 142133303 174933296 196799958 240533282 262399944 284266606 295199937 360799923 393599916 426399909 481066564 524799888 568533212 590399874 721599846 787199832 852799818 962133128 1082399769 1137066424 1180799748 1279199727 1443199692 1563466333 1574399664 1705599636 1924266256 2164799538 2274132848 2361599496 2558399454 2886399384 3126932666 3247199307 3411199272 3837599181 4329599076 4690398999 4723198992 5116798908 5772798768 6253865332 6494398614 6822398544 7675198362 8659198152 9380797998 10233597816 12507730664 12988797228 14071196997 15350396724 17318396304 18761595996 20467195632 25015461328 25977594456 28142393994 30700793448 37523191992 42213590991 51955188912 56284787988 61401586896 75046383984 84427181982 112569575976 168854363964 225139151952 337708727928 675417455856