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11938087960 = 2356130715937
BaseRepresentation
bin10110001111001000…
…01100010000011000
31010210222121200222221
423013210030100120
5143422122303320
65252334353424
7601560034111
oct130744142030
933728550887
1011938087960
1150768151a7
12239205b874
131183398496
14813703208
1549d0e13aa
hex2c790c418

11938087960 has 64 divisors (see below), whose sum is σ = 27391684320. Its totient is φ = 4681359360.

The previous prime is 11938087933. The next prime is 11938087963. The reversal of 11938087960 is 6978083911.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11938087898 and 11938087907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11938087963) 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 15 ways as a sum of consecutive naturals, for example, 741112 + ... + 757048.

Almost surely, 211938087960 is an apocalyptic number.

11938087960 is a gapful number since it is divisible by the number (10) 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 11938087960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13695842160).

11938087960 is an abundant number, since it is smaller than the sum of its proper divisors (15453596360).

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

11938087960 is a wasteful number, since it uses less digits than its factorization.

11938087960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316 (or 16312 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 11938087960 in words is "eleven billion, nine hundred thirty-eight million, eighty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 307 488 610 614 1220 1228 1535 2440 2456 3070 6140 12280 15937 18727 31874 37454 63748 74908 79685 93635 127496 149816 159370 187270 318740 374540 637480 749080 972157 1944314 3888628 4860785 4892659 7777256 9721570 9785318 19443140 19570636 24463295 38886280 39141272 48926590 97853180 195706360 298452199 596904398 1193808796 1492260995 2387617592 2984521990 5969043980 11938087960