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12937466880 = 2103351323313
BaseRepresentation
bin11000000110010001…
…00001010000000000
31020101122010102011000
430003020201100000
5202443442420010
65535434452000
7635413440222
oct140310412000
936348112130
1012937466880
115539954398
122610894000
1312b2448a60
148aa32c412
1550abed7c0
hex303221400

12937466880 has 704 divisors, whose sum is σ = 51832005120. Its totient is φ = 3036413952.

The previous prime is 12937466869. The next prime is 12937466911. The reversal of 12937466880 is 8866473921.

12937466880 is a `hidden beast` number, since 12 + 93 + 7 + 466 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 41333604 + ... + 41333916.

Almost surely, 212937466880 is an apocalyptic number.

12937466880 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 12937466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25916002560).

12937466880 is an abundant number, since it is smaller than the sum of its proper divisors (38894538240).

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

12937466880 is a wasteful number, since it uses less digits than its factorization.

12937466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12937466880 in words is "twelve billion, nine hundred thirty-seven million, four hundred sixty-six thousand, eight hundred eighty".