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375834985632 = 253247531673137
BaseRepresentation
bin1010111100000011000…
…00101100010010100000
31022221002120211110010200
411132001200230102200
522124202224020012
6444353424025200
736103353445041
oct5360140542240
91287076743120
10375834985632
11135433062447
1260a0a462200
13295970b7082
1414294a908c8
159b9a1ae3dc
hex578182c4a0

375834985632 has 288 divisors, whose sum is σ = 1119131500032. Its totient is φ = 119540908032.

The previous prime is 375834985621. The next prime is 375834985633. The reversal of 375834985632 is 236589438573.

It is a happy number.

375834985632 is a `hidden beast` number, since 3 + 7 + 5 + 83 + 498 + 5 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 375834985632.

It is not an unprimeable number, because it can be changed into a prime (375834985633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119805568 + ... + 119808704.

It is an arithmetic number, because the mean of its divisors is an integer number (3885873264).

Almost surely, 2375834985632 is an apocalyptic number.

375834985632 is a gapful number since it is divisible by the number (32) 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 375834985632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559565750016).

375834985632 is an abundant number, since it is smaller than the sum of its proper divisors (743296514400).

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

375834985632 is a wasteful number, since it uses less digits than its factorization.

375834985632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3409 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 375834985632 in words is "three hundred seventy-five billion, eight hundred thirty-four million, nine hundred eighty-five thousand, six hundred thirty-two".