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376696427536 = 24112132292372
BaseRepresentation
bin1010111101101001101…
…10110101010000010000
31100000022121210020021101
411132310312311100100
522132433241140121
6445015115434144
736133613542342
oct5366466652020
91300277706241
10376696427536
11135835349500
126100aa55954
13296a3700300
1414337251292
159beab21491
hex57b4db5410

376696427536 has 405 divisors, whose sum is σ = 924648515973. Its totient is φ = 148479851520.

The previous prime is 376696427533. The next prime is 376696427621. The reversal of 376696427536 is 635724696673.

It is a happy number.

The square root of 376696427536 is 613756.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 155043787536 + 221652640000 = 393756^2 + 470800^2 .

It is not an unprimeable number, because it can be changed into a prime (376696427533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10180984510 + ... + 10180984546.

Almost surely, 2376696427536 is an apocalyptic number.

376696427536 is the 613756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376696427536

376696427536 is an abundant number, since it is smaller than the sum of its proper divisors (547952088437).

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

376696427536 is a wasteful number, since it uses less digits than its factorization.

376696427536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 92 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 64.

Multiplying 376696427536 by its sum of digits (64), we get a square (24108571362304 = 49100482).

The spelling of 376696427536 in words is "three hundred seventy-six billion, six hundred ninety-six million, four hundred twenty-seven thousand, five hundred thirty-six".