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76052872896 = 263711131959353
BaseRepresentation
bin100011011010100011…
…0101011111011000000
321021022020220020112020
41012311012223323000
52221224013413041
654534353001440
75331442516260
oct1066506537300
9237266806466
1076052872896
112a287956070
12128a5b53280
137230466350
1439768697a0
151ea1bde866
hex11b51abec0

76052872896 has 896 divisors, whose sum is σ = 290033049600. Its totient is φ = 16933847040.

The previous prime is 76052872873. The next prime is 76052872901. The reversal of 76052872896 is 69827825067.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215447056 + ... + 215447408.

It is an arithmetic number, because the mean of its divisors is an integer number (323697600).

Almost surely, 276052872896 is an apocalyptic number.

76052872896 is a gapful number since it is divisible by the number (76) 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 76052872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145016524800).

76052872896 is an abundant number, since it is smaller than the sum of its proper divisors (213980176704).

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

76052872896 is a wasteful number, since it uses less digits than its factorization.

76052872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 76052872896 in words is "seventy-six billion, fifty-two million, eight hundred seventy-two thousand, eight hundred ninety-six".