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152142627360 = 2535316963807
BaseRepresentation
bin1000110110110001101…
…0000100001000100000
3112112201002012021001110
42031230122010020200
54443042003033420
6153520544303320
713664143665153
oct2155432041040
9475632167043
10152142627360
1159583601869
12255a0311b40
13114684439b9
147514175c9a
153e56c66ee0
hex236c684220

152142627360 has 48 divisors (see below), whose sum is σ = 479249277696. Its totient is φ = 40571367168.

The previous prime is 152142627323. The next prime is 152142627367. The reversal of 152142627360 is 63726241251.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (152142627367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158481424 + ... + 158482383.

It is an arithmetic number, because the mean of its divisors is an integer number (9984359952).

Almost surely, 2152142627360 is an apocalyptic number.

152142627360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152142627360 is an abundant number, since it is smaller than the sum of its proper divisors (327106650336).

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

152142627360 is a wasteful number, since it uses less digits than its factorization.

152142627360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316963825 (or 316963817 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 152142627360 in words is "one hundred fifty-two billion, one hundred forty-two million, six hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 316963807 633927614 950891421 1267855228 1584819035 1901782842 2535710456 3169638070 3803565684 4754457105 5071420912 6339276140 7607131368 9508914210 10142841824 12678552280 15214262736 19017828420 25357104560 30428525472 38035656840 50714209120 76071313680 152142627360