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130999855350672 = 243272113474863961
BaseRepresentation
bin11101110010010011000111…
…110110000000001110010000
3122011211110112011020202200100
4131302103013312000032100
5114132300200432210142
61142340300332052400
736410266352024400
oct3562230766001620
9564743464222610
10130999855350672
11388167aa205a20
1212838796604100
1358133058a63b9
14244c5d9310800
15102291828ab4c
hex7724c7d80390

130999855350672 has 360 divisors, whose sum is σ = 466584776921952. Its totient is φ = 33927872025600.

The previous prime is 130999855350641. The next prime is 130999855350731. The reversal of 130999855350672 is 276053558999031.

It is a happy number.

130999855350672 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 9 + 9 + 8 + 553 + 5 + 0 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 130999855350672.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24500772 + ... + 29364732.

Almost surely, 2130999855350672 is an apocalyptic number.

130999855350672 is a gapful number since it is divisible by the number (12) 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 130999855350672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233292388460976).

130999855350672 is an abundant number, since it is smaller than the sum of its proper divisors (335584921571280).

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

130999855350672 is a wasteful number, since it uses less digits than its factorization.

130999855350672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864347 (or 4864331 counting only the distinct ones).

The product of its (nonzero) digits is 551124000, while the sum is 72.

The spelling of 130999855350672 in words is "one hundred thirty trillion, nine hundred ninety-nine billion, eight hundred fifty-five million, three hundred fifty thousand, six hundred seventy-two".