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11978856529920 = 21633571271523
BaseRepresentation
bin1010111001010000101101…
…1111010000000000000000
31120102011112002220112111000
42232110023133100000000
53032230144232424140
641251002152052000
72344305142332420
oct256241337200000
946364462815430
1011978856529920
1138a922824a895
1214156ba994000
1368b7a8154147
142d5acb8c0480
1515b8e6ad3a30
hexae50b7d0000

11978856529920 has 1088 divisors, whose sum is σ = 49091101655040. Its totient is φ = 2714681475072.

The previous prime is 11978856529909. The next prime is 11978856529949. The reversal of 11978856529920 is 2992565887911.

11978856529920 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 8 + 8 + 5 + 6 + 529 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7865302279 + ... + 7865303801.

Almost surely, 211978856529920 is an apocalyptic number.

11978856529920 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 11978856529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24545550827520).

11978856529920 is an abundant number, since it is smaller than the sum of its proper divisors (37112245125120).

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

11978856529920 is an equidigital number, since it uses as much as digits as its factorization.

11978856529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 72.

The spelling of 11978856529920 in words is "eleven trillion, nine hundred seventy-eight billion, eight hundred fifty-six million, five hundred twenty-nine thousand, nine hundred twenty".