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75979145696 = 2547250320183
BaseRepresentation
bin100011011000010110…
…1011100000111100000
321021010010011111211012
41012300231130013200
52221101130130241
654523200440052
75326556040206
oct1066055340740
9237103144735
1075979145696
112a24a2797a3
1212885319028
13721b0c119c
14396ab57076
151e9a4c96eb
hex11b0b5c1e0

75979145696 has 48 divisors (see below), whose sum is σ = 152835185664. Its totient is φ = 37164587904.

The previous prime is 75979145677. The next prime is 75979145713. The reversal of 75979145696 is 69654197957.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3754421 + ... + 3774603.

It is an arithmetic number, because the mean of its divisors is an integer number (3184066368).

Almost surely, 275979145696 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 75979145696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76417592832).

75979145696 is an abundant number, since it is smaller than the sum of its proper divisors (76856039968).

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

75979145696 is a wasteful number, since it uses less digits than its factorization.

75979145696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22743 (or 22735 counting only the distinct ones).

The product of its digits is 128595600, while the sum is 68.

The spelling of 75979145696 in words is "seventy-five billion, nine hundred seventy-nine million, one hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 2503 5006 10012 20024 20183 40048 40366 80096 80732 117641 161464 235282 322928 470564 645856 941128 948601 1882256 1897202 3764512 3794404 7588808 15177616 30355232 50518049 101036098 202072196 404144392 808288784 1616577568 2374348303 4748696606 9497393212 18994786424 37989572848 75979145696