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130672946880 = 263257191133019
BaseRepresentation
bin111100110110010110…
…1101110111011000000
3110111021211012111012100
41321230231232323000
54120104233300010
6140010314430400
712304124502420
oct1715455567300
9414254174170
10130672946880
1150466521083
12213aa132400
13c426431358
146478a00480
1535ebe902c0
hex1e6cb6eec0

130672946880 has 672 divisors, whose sum is σ = 545670028800. Its totient is φ = 28036399104.

The previous prime is 130672946851. The next prime is 130672946891. The reversal of 130672946880 is 88649276031.

130672946880 is a `hidden beast` number, since 1 + 30 + 6 + 72 + 9 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 43282011 + ... + 43285029.

Almost surely, 2130672946880 is an apocalyptic number.

130672946880 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 130672946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272835014400).

130672946880 is an abundant number, since it is smaller than the sum of its proper divisors (414997081920).

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

130672946880 is a wasteful number, since it uses less digits than its factorization.

130672946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 130672946880 in words is "one hundred thirty billion, six hundred seventy-two million, nine hundred forty-six thousand, eight hundred eighty".