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130472090280 = 233357217219449
BaseRepresentation
bin111100110000010111…
…1100001101010101000
3110110202211020220202000
41321200233201222220
54114201323342110
6135534341411000
712266135316600
oct1714057415250
9413684226660
10130472090280
1150373103594
1221352a09a60
13c3c39371ac
14645a077c00
1535d95171c0
hex1e60be1aa8

130472090280 has 1152 divisors, whose sum is σ = 566967600000. Its totient is φ = 26531463168.

The previous prime is 130472090267. The next prime is 130472090291. The reversal of 130472090280 is 82090274031.

130472090280 is a `hidden beast` number, since 1 + 304 + 72 + 0 + 9 + 0 + 280 = 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 287 ways as a sum of consecutive naturals, for example, 290583496 + ... + 290583944.

It is an arithmetic number, because the mean of its divisors is an integer number (492159375).

Almost surely, 2130472090280 is an apocalyptic number.

130472090280 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 130472090280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283483800000).

130472090280 is an abundant number, since it is smaller than the sum of its proper divisors (436495509720).

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

130472090280 is a wasteful number, since it uses less digits than its factorization.

130472090280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 130472090280 in words is "one hundred thirty billion, four hundred seventy-two million, ninety thousand, two hundred eighty".