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117638981040 = 243573137411489
BaseRepresentation
bin110110110001111010…
…1000110010110110000
3102020122110111102100210
41231203311012112300
53411411034343130
6130013111344120
711333126561130
oct1554365062660
9366573442323
10117638981040
1145988157689
121a971082040
13b129cc9529
14599d952ac0
1530d7a7e5b0
hex1b63d465b0

117638981040 has 640 divisors, whose sum is σ = 452931010560. Its totient is φ = 24684134400.

The previous prime is 117638981027. The next prime is 117638981143. The reversal of 117638981040 is 40189836711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79004616 + ... + 79006104.

It is an arithmetic number, because the mean of its divisors is an integer number (707704704).

Almost surely, 2117638981040 is an apocalyptic number.

117638981040 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 117638981040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226465505280).

117638981040 is an abundant number, since it is smaller than the sum of its proper divisors (335292029520).

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

117638981040 is a wasteful number, since it uses less digits than its factorization.

117638981040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 117638981040 in words is "one hundred seventeen billion, six hundred thirty-eight million, nine hundred eighty-one thousand, forty".