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132653525502330 = 23257323391837181
BaseRepresentation
bin11110001010010111001110…
…010001000000100101111010
3122101200112221021101102212100
4132022113032101000211322
5114341343410012033310
61150044104402324230
736640621011264000
oct3612271621004572
9571615837342770
10132653525502330
11392a405396a748
1212a65185359676
135903234a41b11
1424a867193ca70
151050951531ec0
hex78a5ce44097a

132653525502330 has 192 divisors, whose sum is σ = 402386950368000. Its totient is φ = 30307826183040.

The previous prime is 132653525502319. The next prime is 132653525502359. The reversal of 132653525502330 is 33205525356231.

132653525502330 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 53 + 525 + 50 + 23 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 71286340 + ... + 73123520.

It is an arithmetic number, because the mean of its divisors is an integer number (2095765366500).

Almost surely, 2132653525502330 is an apocalyptic number.

132653525502330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132653525502330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201193475184000).

132653525502330 is an abundant number, since it is smaller than the sum of its proper divisors (269733424865670).

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

132653525502330 is a wasteful number, since it uses less digits than its factorization.

132653525502330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839554 (or 1839537 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 45.

The spelling of 132653525502330 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred twenty-five million, five hundred two thousand, three hundred thirty".