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130623882480 = 243257213284807
BaseRepresentation
bin111100110100111001…
…0100100010011110000
3110111011101212202111100
41321221302210103300
54120004203214410
6140001403044400
712302660452500
oct1715162442360
9414141782440
10130623882480
115044085a293
1221395810700
13c419212a70
1464722aba00
1535e79ec8c0
hex1e69ca44f0

130623882480 has 360 divisors, whose sum is σ = 549555263712. Its totient is φ = 27560107008.

The previous prime is 130623882457. The next prime is 130623882517. The reversal of 130623882480 is 84288326031.

130623882480 is a `hidden beast` number, since 1 + 3 + 0 + 62 + 38 + 82 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 316237 + ... + 601043.

Almost surely, 2130623882480 is an apocalyptic number.

130623882480 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 130623882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274777631856).

130623882480 is an abundant number, since it is smaller than the sum of its proper divisors (418931381232).

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

130623882480 is a wasteful number, since it uses less digits than its factorization.

130623882480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284853 (or 284837 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 130623882480 in words is "one hundred thirty billion, six hundred twenty-three million, eight hundred eighty-two thousand, four hundred eighty".