Search a number
-
+
117860474304000 = 29375323311181
BaseRepresentation
bin11010110011000110000111…
…101101000011011000000000
3120110022100111002201110000000
4122303012013231003120000
5110422011222410212000
61054400204320000000
733553065265632231
oct3263060755033000
9513270432643000
10117860474304000
113461038a14596a
1211276196460000
13509c26c65c78c
142116697d79088
15d95c4c3e6000
hex6b3187b43600

117860474304000 has 2560 divisors, whose sum is σ = 475174112624640. Its totient is φ = 29068554240000.

The previous prime is 117860474303993. The next prime is 117860474304077. The reversal of 117860474304000 is 403474068711.

117860474304000 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 604 + 7 + 4 + 30 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 99797183410 + ... + 99797184590.

It is an arithmetic number, because the mean of its divisors is an integer number (185614887744).

Almost surely, 2117860474304000 is an apocalyptic number.

117860474304000 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 117860474304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237587056312320).

117860474304000 is an abundant number, since it is smaller than the sum of its proper divisors (357313638320640).

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

117860474304000 is an frugal number, since it uses more digits than its factorization.

117860474304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 117860474304000 in words is "one hundred seventeen trillion, eight hundred sixty billion, four hundred seventy-four million, three hundred four thousand".