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76191399104 = 265389252383
BaseRepresentation
bin100011011110101011…
…1000111110011000000
321021122220120002202112
41012331113013303000
52222014444232404
655000222034452
75335044130622
oct1067527076300
9237586502675
1076191399104
112a349070937
1212924418a28
137253078912
14398b008c12
151eade5456e
hex11bd5c7cc0

76191399104 has 56 divisors (see below), whose sum is σ = 155776452480. Its totient is φ = 36956801024.

The previous prime is 76191399101. The next prime is 76191399107. The reversal of 76191399104 is 40199319167.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76191399101) and next prime (76191399107).

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76191399101) 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 7 ways as a sum of consecutive naturals, for example, 175697 + ... + 428079.

Almost surely, 276191399104 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 76191399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77888226240).

76191399104 is an abundant number, since it is smaller than the sum of its proper divisors (79585053376).

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

76191399104 is a wasteful number, since it uses less digits than its factorization.

76191399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252537 (or 252527 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 50.

The spelling of 76191399104 in words is "seventy-six billion, one hundred ninety-one million, three hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 32 53 64 89 106 178 212 356 424 712 848 1424 1696 2848 3392 4717 5696 9434 18868 37736 75472 150944 252383 301888 504766 1009532 2019064 4038128 8076256 13376299 16152512 22462087 26752598 44924174 53505196 89848348 107010392 179696696 214020784 359393392 428041568 718786784 856083136 1190490611 1437573568 2380981222 4761962444 9523924888 19047849776 38095699552 76191399104