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157206420766656 = 2632967282241793
BaseRepresentation
bin100011101111101001111000…
…110111011011111111000000
3202121121210020202112012022200
4203233221320313123333000
5131101132222204013111
61314203344355033200
745053534441452122
oct4357517067337700
9677553222465280
10157206420766656
11460aa961183828
121576b7a829b800
13699466a7b2101
142ab6b8d391212
151329476b02256
hex8efa78ddbfc0

157206420766656 has 84 divisors (see below), whose sum is σ = 451069803433392. Its totient is φ = 52347949645824.

The previous prime is 157206420766643. The next prime is 157206420766699. The reversal of 157206420766656 is 656667024602751.

It is a junction number, because it is equal to n+sod(n) for n = 157206420766593 and 157206420766602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140563905 + ... + 141677888.

Almost surely, 2157206420766656 is an apocalyptic number.

157206420766656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157206420766656 is an abundant number, since it is smaller than the sum of its proper divisors (293863382666736).

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

157206420766656 is a wasteful number, since it uses less digits than its factorization.

157206420766656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282242778 (or 282242765 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 157206420766656 in words is "one hundred fifty-seven trillion, two hundred six billion, four hundred twenty million, seven hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 967 1934 2901 3868 5802 7736 8703 11604 15472 17406 23208 30944 34812 46416 61888 69624 92832 139248 185664 278496 556992 282241793 564483586 846725379 1128967172 1693450758 2257934344 2540176137 3386901516 4515868688 5080352274 6773803032 9031737376 10160704548 13547606064 18063474752 20321409096 27095212128 40642818192 54190424256 81285636384 162571272768 272927813831 545855627662 818783441493 1091711255324 1637566882986 2183422510648 2456350324479 3275133765972 4366845021296 4912700648958 6550267531944 8733690042592 9825401297916 13100535063888 17467380085184 19650802595832 26201070127776 39301605191664 52402140255552 78603210383328 157206420766656