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8987117952 = 273191231787
BaseRepresentation
bin10000101111010110…
…01000100110000000
3212012022211220011110
420113223020212000
5121401200233302
64043441043320
7435465146031
oct102753104600
925168756143
108987117952
1138a1aa280a
1218a9926540
13b02bbc997
14613820a88
15378ed4b6c
hex217ac8980

8987117952 has 64 divisors (see below), whose sum is σ = 25128475200. Its totient is φ = 2838034944.

The previous prime is 8987117941. The next prime is 8987117989. The reversal of 8987117952 is 2597117898.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 8987117892 and 8987117901.

It is a congruent number.

It is an unprimeable number.

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, 608598 + ... + 623189.

It is an arithmetic number, because the mean of its divisors is an integer number (392632425).

Almost surely, 28987117952 is an apocalyptic number.

It is an amenable number.

8987117952 is an abundant number, since it is smaller than the sum of its proper divisors (16141357248).

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

8987117952 is a wasteful number, since it uses less digits than its factorization.

8987117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231823 (or 1231811 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 57.

The square root of 8987117952 is about 94800.4111383490. The cubic root of 8987117952 is about 2079.0909143696.

The spelling of 8987117952 in words is "eight billion, nine hundred eighty-seven million, one hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 1231787 2463574 3695361 4927148 7390722 9854296 14781444 19708592 23403953 29562888 39417184 46807906 59125776 70211859 78834368 93615812 118251552 140423718 157668736 187231624 236503104 280847436 374463248 473006208 561694872 748926496 1123389744 1497852992 2246779488 2995705984 4493558976 8987117952