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138603622080 = 263571121737271
BaseRepresentation
bin1000000100010101101…
…0110110111011000000
3111020202112011112100110
42001011122312323000
54232330011401310
6143401300351320
713004504230440
oct2010532667300
9436675145313
10138603622080
1153866149800
1222a420a5540
13100bb4b1081
1469cbdc0120
153913344d20
hex20456b6ec0

138603622080 has 1344 divisors, whose sum is σ = 603367059456. Its totient is φ = 26276659200.

The previous prime is 138603622057. The next prime is 138603622111. The reversal of 138603622080 is 80226306831.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 511452345 + ... + 511452615.

It is an arithmetic number, because the mean of its divisors is an integer number (448933824).

Almost surely, 2138603622080 is an apocalyptic number.

138603622080 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 138603622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301683529728).

138603622080 is an abundant number, since it is smaller than the sum of its proper divisors (464763437376).

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

138603622080 is a wasteful number, since it uses less digits than its factorization.

138603622080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 138603622080 in words is "one hundred thirty-eight billion, six hundred three million, six hundred twenty-two thousand, eighty".