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132214650463350 = 234527133301108677
BaseRepresentation
bin11110000011111110011111…
…010001100110010001110110
3122100010121010022120110210000
4132003332133101212101312
5114312201101004311400
61145110323311212130
736564123202065630
oct3603763721462166
9570117108513700
10132214650463350
1139144a113a3164
12129b4102b17046
1358a0a32431440
14249131a767a50
151044316cb8600
hex783f9f466476

132214650463350 has 480 divisors, whose sum is σ = 452277567758016. Its totient is φ = 27887131008000.

The previous prime is 132214650463333. The next prime is 132214650463361. The reversal of 132214650463350 is 53364056412231.

132214650463350 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 4 + 6 + 5 + 0 + 4 + 633 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132214650463296 and 132214650463305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1216529212 + ... + 1216637888.

Almost surely, 2132214650463350 is an apocalyptic number.

132214650463350 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 132214650463350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226138783879008).

132214650463350 is an abundant number, since it is smaller than the sum of its proper divisors (320062917294666).

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

132214650463350 is a wasteful number, since it uses less digits than its factorization.

132214650463350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112022 (or 112008 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 132214650463350 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred fifty million, four hundred sixty-three thousand, three hundred fifty".