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152742660210 = 23257242448667
BaseRepresentation
bin1000111001000000101…
…1000000100001110010
3112121020220021002101100
42032100023000201302
510000304110111320
6154100301145230
714015051122110
oct2162013004162
9477226232340
10152742660210
1159861282388
122572925b216
131153285151a
14756db2aab0
153e8e78e790
hex23902c0872

152742660210 has 48 divisors (see below), whose sum is σ = 453863906496. Its totient is φ = 34912607904.

The previous prime is 152742660193. The next prime is 152742660211. The reversal of 152742660210 is 12066247251.

It is a happy number.

152742660210 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 42 + 6 + 602 + 1 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (152742660211) 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 23 ways as a sum of consecutive naturals, for example, 121223704 + ... + 121224963.

It is an arithmetic number, because the mean of its divisors is an integer number (9455498052).

Almost surely, 2152742660210 is an apocalyptic number.

152742660210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152742660210 is an abundant number, since it is smaller than the sum of its proper divisors (301121246286).

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

152742660210 is a wasteful number, since it uses less digits than its factorization.

152742660210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242448687 (or 242448684 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 152742660210 in words is "one hundred fifty-two billion, seven hundred forty-two million, six hundred sixty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 242448667 484897334 727346001 1212243335 1454692002 1697140669 2182038003 2424486670 3394281338 3636730005 4364076006 5091422007 7273460010 8485703345 10182844014 10910190015 15274266021 16971406690 21820380030 25457110035 30548532042 50914220070 76371330105 152742660210