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12977038373376 = 29372112337113163
BaseRepresentation
bin1011110011010111001111…
…0000110011001000000000
31200221121000010011001001210
42330311303300303020000
53200103433310422001
643333322533130120
72506363052113500
oct274656360631000
950847003131053
1012977038373376
11415359293a870
121557053a89940
137319638435bc
1432c140685a00
15177868906dd6
hexbcd73c33200

12977038373376 has 1920 divisors, whose sum is σ = 47723827193856. Its totient is φ = 3090135121920.

The previous prime is 12977038373359. The next prime is 12977038373441. The reversal of 12977038373376 is 67337383077921.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79613732271 + ... + 79613732433.

Almost surely, 212977038373376 is an apocalyptic number.

12977038373376 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 12977038373376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23861913596928).

12977038373376 is an abundant number, since it is smaller than the sum of its proper divisors (34746788820480).

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

12977038373376 is a wasteful number, since it uses less digits than its factorization.

12977038373376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 168031584, while the sum is 66.

The spelling of 12977038373376 in words is "twelve trillion, nine hundred seventy-seven billion, thirty-eight million, three hundred seventy-three thousand, three hundred seventy-six".