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45680691408 = 243117383109131
BaseRepresentation
bin101010100010110010…
…000000100011010000
311100220120021120010120
4222202302000203100
51222023224111113
632552503430240
73205003320222
oct524262004320
9140816246116
1045680691408
1118411617630
128a2a455380
1343ccc4ca21
1422d4c1c412
1512c5599a23
hexaa2c808d0

45680691408 has 320 divisors, whose sum is σ = 134301404160. Its totient is φ = 13262745600.

The previous prime is 45680691383. The next prime is 45680691431. The reversal of 45680691408 is 80419608654.

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, 348707503 + ... + 348707633.

It is an arithmetic number, because the mean of its divisors is an integer number (419691888).

Almost surely, 245680691408 is an apocalyptic number.

45680691408 is a gapful number since it is divisible by the number (48) 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 45680691408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67150702080).

45680691408 is an abundant number, since it is smaller than the sum of its proper divisors (88620712752).

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

45680691408 is a wasteful number, since it uses less digits than its factorization.

45680691408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 45680691408 in words is "forty-five billion, six hundred eighty million, six hundred ninety-one thousand, four hundred eight".