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155680345560 = 233510112844913
BaseRepresentation
bin1001000011111101000…
…1011000110111011000
3112212211122000222002110
42100333101120313120
510022313132024220
6155304002032320
714150622050325
oct2207721306730
9485748028073
10155680345560
1160029550913
12262090486a0
13118b035838c
14776bd51b4c
1540b2624be0
hex243f458dd8

155680345560 has 64 divisors (see below), whose sum is σ = 471665242080. Its totient is φ = 41103718400.

The previous prime is 155680345487. The next prime is 155680345567. The reversal of 155680345560 is 65543086551.

It is a happy number.

155680345560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155680345567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6410337 + ... + 6434576.

Almost surely, 2155680345560 is an apocalyptic number.

155680345560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155680345560 is an abundant number, since it is smaller than the sum of its proper divisors (315984896520).

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

155680345560 is a wasteful number, since it uses less digits than its factorization.

155680345560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12845028 (or 12845024 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 155680345560 in words is "one hundred fifty-five billion, six hundred eighty million, three hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 12844913 25689826 38534739 51379652 64224565 77069478 102759304 128449130 154138956 192673695 256898260 308277912 385347390 513796520 770694780 1297336213 1541389560 2594672426 3892008639 5189344852 6486681065 7784017278 10378689704 12973362130 15568034556 19460043195 25946724260 31136069112 38920086390 51893448520 77840172780 155680345560