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30252436128 = 2532331317351
BaseRepresentation
bin11100001011001011…
…111000101010100000
32220002100021222122100
4130023023320222200
5443424110424003
621521530410400
72120453315145
oct341313705240
986070258570
1030252436128
1111914791032
125a43590a00
132b1177b5a5
14166db9a3cc
15bc0d8eba3
hex70b2f8aa0

30252436128 has 72 divisors (see below), whose sum is σ = 86290547616. Its totient is φ = 10053648000.

The previous prime is 30252436103. The next prime is 30252436141. The reversal of 30252436128 is 82163425203.

30252436128 is a `hidden beast` number, since 3 + 0 + 2 + 524 + 3 + 6 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30252436092 and 30252436101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63348 + ... + 254003.

It is an arithmetic number, because the mean of its divisors is an integer number (1198479828).

Almost surely, 230252436128 is an apocalyptic number.

It is an amenable number.

30252436128 is an abundant number, since it is smaller than the sum of its proper divisors (56038111488).

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

30252436128 is a wasteful number, since it uses less digits than its factorization.

30252436128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317698 (or 317687 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 30252436128 in words is "thirty billion, two hundred fifty-two million, four hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 331 662 993 1324 1986 2648 2979 3972 5296 5958 7944 10592 11916 15888 23832 31776 47664 95328 317351 634702 952053 1269404 1904106 2538808 2856159 3808212 5077616 5712318 7616424 10155232 11424636 15232848 22849272 30465696 45698544 91397088 105043181 210086362 315129543 420172724 630259086 840345448 945388629 1260518172 1680690896 1890777258 2521036344 3361381792 3781554516 5042072688 7563109032 10084145376 15126218064 30252436128