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130532235789312 = 21033717374126153
BaseRepresentation
bin11101101011011111100111…
…100010111100010000000000
3122010011202111221112202202000
4131223133213202330100000
5114102120004330224222
61141341403054024000
736331433326236150
oct3553374742742000
9563152457482660
10130532235789312
1138656457153315
12127820317a8000
1357ab1a204a7b6
142433b18742760
15101569a2419ac
hex76b7e78bc400

130532235789312 has 1408 divisors, whose sum is σ = 492165687444480. Its totient is φ = 33318166855680.

The previous prime is 130532235789283. The next prime is 130532235789341. The reversal of 130532235789312 is 213987532235031.

130532235789312 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 32 + 2 + 3 + 578 + 9 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (130532235789283) and next prime (130532235789341).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4991086828 + ... + 4991112980.

Almost surely, 2130532235789312 is an apocalyptic number.

130532235789312 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 130532235789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246082843722240).

130532235789312 is an abundant number, since it is smaller than the sum of its proper divisors (361633451655168).

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

130532235789312 is a wasteful number, since it uses less digits than its factorization.

130532235789312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26284 (or 26260 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 130532235789312 in words is "one hundred thirty trillion, five hundred thirty-two billion, two hundred thirty-five million, seven hundred eighty-nine thousand, three hundred twelve".