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75073712868 = 223371122932801
BaseRepresentation
bin100010111101010111…
…1011111001011100100
321011210000102202111000
41011322233133023210
52212222332302433
654253254113300
75265253013310
oct1057257371344
9234700382430
1075073712868
1129925176700
121267204b830
137105644a0b
1438c27c4b40
151e45c78113
hex117abdf2e4

75073712868 has 288 divisors, whose sum is σ = 245422920960. Its totient is φ = 19426176000.

The previous prime is 75073712867. The next prime is 75073712873. The reversal of 75073712868 is 86821737057.

75073712868 is a `hidden beast` number, since 7 + 507 + 3 + 7 + 128 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (75073712867) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26801068 + ... + 26803868.

It is an arithmetic number, because the mean of its divisors is an integer number (852162920).

Almost surely, 275073712868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75073712868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122711460480).

75073712868 is an abundant number, since it is smaller than the sum of its proper divisors (170349208092).

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

75073712868 is a wasteful number, since it uses less digits than its factorization.

75073712868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 75073712868 in words is "seventy-five billion, seventy-three million, seven hundred twelve thousand, eight hundred sixty-eight".