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152642242520 = 23523312153161
BaseRepresentation
bin1000111000101000101…
…1111100011111011000
3112120222220022100012122
42032022023330133120
510000102403230040
6154042313000412
714012421440135
oct2161213743730
9476886270178
10152642242520
115980a626059
12256bb6b3108
1311517ac2881
14756066b58c
153e85a561b5
hex238a2fc7d8

152642242520 has 64 divisors (see below), whose sum is σ = 358499010240. Its totient is φ = 58382438400.

The previous prime is 152642242513. The next prime is 152642242523. The reversal of 152642242520 is 25242246251.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152642242523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2844740 + ... + 2897900.

It is an arithmetic number, because the mean of its divisors is an integer number (5601547035).

Almost surely, 2152642242520 is an apocalyptic number.

152642242520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152642242520 is an abundant number, since it is smaller than the sum of its proper divisors (205856767720).

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

152642242520 is a wasteful number, since it uses less digits than its factorization.

152642242520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56316 (or 56312 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 152642242520 its reverse (25242246251), we get a palindrome (177884488771).

The spelling of 152642242520 in words is "one hundred fifty-two billion, six hundred forty-two million, two hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 3121 6242 12484 15605 24968 31210 53161 62420 71783 106322 124840 143566 212644 265805 287132 358915 425288 531610 574264 717830 1063220 1222703 1435660 2126440 2445406 2871320 4890812 6113515 9781624 12227030 24454060 48908120 165915481 331830962 663661924 829577405 1327323848 1659154810 3318309620 3816056063 6636619240 7632112126 15264224252 19080280315 30528448504 38160560630 76321121260 152642242520