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117045408480 = 253571113477173
BaseRepresentation
bin110110100000001110…
…0110011001011100000
3102012010002120210212220
41231000130303023200
53404202111032410
6125434145151040
711312331361650
oct1550034631340
9365102523786
10117045408480
1145703099850
121a82632b480
13b064041370
145944ba0360
1530a08d1070
hex1b407332e0

117045408480 has 1536 divisors, whose sum is σ = 519704543232. Its totient is φ = 21366374400.

The previous prime is 117045408479. The next prime is 117045408511. The reversal of 117045408480 is 84804540711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1603361724 + ... + 1603361796.

It is an arithmetic number, because the mean of its divisors is an integer number (338349312).

Almost surely, 2117045408480 is an apocalyptic number.

117045408480 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 117045408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259852271616).

117045408480 is an abundant number, since it is smaller than the sum of its proper divisors (402659134752).

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

117045408480 is a wasteful number, since it uses less digits than its factorization.

117045408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

It can be divided in two parts, 117045 and 408480, that added together give a palindrome (525525).

The spelling of 117045408480 in words is "one hundred seventeen billion, forty-five million, four hundred eight thousand, four hundred eighty".