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11978660643144 = 23313279833131439
BaseRepresentation
bin1010111001001111111111…
…0100000000000101001000
31120102011000110022110100020
42232103333310000011020
53032224244111040034
641250530513340440
72344300243326066
oct256237764000510
946364013273306
1011978660643144
1138a9137717198
121415665267720
1368b7766aa100
142d5aad88d036
1515b8d47dd249
hexae4ffd00148

11978660643144 has 384 divisors, whose sum is σ = 33362896896000. Its totient is φ = 3581265512448.

The previous prime is 11978660643143. The next prime is 11978660643221. The reversal of 11978660643144 is 44134606687911.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11978660643143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8324294377 + ... + 8324295815.

It is an arithmetic number, because the mean of its divisors is an integer number (86882544000).

Almost surely, 211978660643144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11978660643144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681448448000).

11978660643144 is an abundant number, since it is smaller than the sum of its proper divisors (21384236252856).

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

11978660643144 is a wasteful number, since it uses less digits than its factorization.

11978660643144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 11978660643144 in words is "eleven trillion, nine hundred seventy-eight billion, six hundred sixty million, six hundred forty-three thousand, one hundred forty-four".