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130670436204 = 2232721159157727
BaseRepresentation
bin111100110110010010…
…0001001111101101100
3110111021122110221012100
41321230210021331230
54120103112424304
6140010144535100
712304064244600
oct1715444117554
9414248427170
10130670436204
1150465066840
12213a9321490
13c425a62649
146478549500
1535ebb46439
hex1e6c909f6c

130670436204 has 432 divisors, whose sum is σ = 429573231360. Its totient is φ = 33106993920.

The previous prime is 130670436181. The next prime is 130670436229. The reversal of 130670436204 is 402634076031.

It is a happy number.

130670436204 is a `hidden beast` number, since 13 + 0 + 6 + 7 + 0 + 436 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179738889 + ... + 179739615.

It is an arithmetic number, because the mean of its divisors is an integer number (994382480).

Almost surely, 2130670436204 is an apocalyptic number.

130670436204 is a gapful number since it is divisible by the number (14) 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 130670436204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214786615680).

130670436204 is an abundant number, since it is smaller than the sum of its proper divisors (298902795156).

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

130670436204 is a wasteful number, since it uses less digits than its factorization.

130670436204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 130670436204 in words is "one hundred thirty billion, six hundred seventy million, four hundred thirty-six thousand, two hundred four".