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132573201287550 = 235217791489441971
BaseRepresentation
bin11110001001001100011010…
…100100011100100101111110
3122101101212121100012112210120
4132021030122210130211332
5114334034404012200200
61145543142103515410
736632045341600542
oct3611143244344576
9571355540175716
10132573201287550
1139272a84a50271
1212a516a8a58b66
1358c87a36b154a
1424a4811ac9a22
15104d7ee86e9a0
hex78931a91c97e

132573201287550 has 192 divisors, whose sum is σ = 352765785830400. Its totient is φ = 32829955891200.

The previous prime is 132573201287537. The next prime is 132573201287563. The reversal of 132573201287550 is 55782102375231.

It is an interprime number because it is at equal distance from previous prime (132573201287537) and next prime (132573201287563).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 132573201287493 and 132573201287502.

It is a congruent number.

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, 299738065 + ... + 300180035.

It is an arithmetic number, because the mean of its divisors is an integer number (1837321801200).

Almost surely, 2132573201287550 is an apocalyptic number.

132573201287550 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 132573201287550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176382892915200).

132573201287550 is an abundant number, since it is smaller than the sum of its proper divisors (220192584542850).

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

132573201287550 is a wasteful number, since it uses less digits than its factorization.

132573201287550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443571 (or 443566 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 132573201287550 in words is "one hundred thirty-two trillion, five hundred seventy-three billion, two hundred one million, two hundred eighty-seven thousand, five hundred fifty".