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11687380656 = 2437233149287
BaseRepresentation
bin10101110001001111…
…10100011010110000
31010011111212110020020
422320213310122300
5142413432140111
65211421043440
7562424045040
oct127047643260
933144773206
1011687380656
114a58249086
1223220b6580
131143468b73
147cc2c1720
154860bc906
hex2b89f46b0

11687380656 has 80 divisors (see below), whose sum is σ = 34653924864. Its totient is φ = 3324897792.

The previous prime is 11687380651. The next prime is 11687380669. The reversal of 11687380656 is 65608378611.

11687380656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11687380599 and 11687380608.

It is not an unprimeable number, because it can be changed into a prime (11687380651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3645 + ... + 152931.

Almost surely, 211687380656 is an apocalyptic number.

11687380656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11687380656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17326962432).

11687380656 is an abundant number, since it is smaller than the sum of its proper divisors (22966544208).

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

11687380656 is a wasteful number, since it uses less digits than its factorization.

11687380656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149538 (or 149532 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 11687380656 in words is "eleven billion, six hundred eighty-seven million, three hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 233 336 466 699 932 1398 1631 1864 2796 3262 3728 4893 5592 6524 9786 11184 13048 19572 26096 39144 78288 149287 298574 447861 597148 895722 1045009 1194296 1791444 2090018 2388592 3135027 3582888 4180036 6270054 7165776 8360072 12540108 16720144 25080216 34783871 50160432 69567742 104351613 139135484 208703226 243487097 278270968 417406452 486974194 556541936 730461291 834812904 973948388 1460922582 1669625808 1947896776 2921845164 3895793552 5843690328 11687380656