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117459114246656 = 29721317311275381
BaseRepresentation
bin11010101101010000010100…
…110001111100001000000000
3120101212222111121222000001222
4122231100110301330020000
5110343422231221343111
61053451545553014212
733512066230504400
oct3255202461741000
9511788447860058
10117459114246656
1134476148926336
1211210443854368
1350704683193a0
1421010a1300800
15d8a5ab3e77db
hex6ad414c7c200

117459114246656 has 960 divisors, whose sum is σ = 323932610985984. Its totient is φ = 41982138777600.

The previous prime is 117459114246647. The next prime is 117459114246671. The reversal of 117459114246656 is 656642411954711.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21828489086 + ... + 21828494466.

Almost surely, 2117459114246656 is an apocalyptic number.

117459114246656 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 117459114246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161966305492992).

117459114246656 is an abundant number, since it is smaller than the sum of its proper divisors (206473496739328).

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

117459114246656 is a wasteful number, since it uses less digits than its factorization.

117459114246656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5578 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 62.

The spelling of 117459114246656 in words is "one hundred seventeen trillion, four hundred fifty-nine billion, one hundred fourteen million, two hundred forty-six thousand, six hundred fifty-six".