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120020004096 = 2831093142979
BaseRepresentation
bin110111111000110111…
…1111110110100000000
3102110210101210220221220
41233301233332310000
53431300110112341
6131045245115040
711446131126246
oct1576157766400
9373711726856
10120020004096
114699a188533
121b316558a80
13b41939c605
145b47c72796
1531c6b07a66
hex1bf1bfed00

120020004096 has 72 divisors (see below), whose sum is σ = 319722725280. Its totient is φ = 39969785856.

The previous prime is 120020004079. The next prime is 120020004133. The reversal of 120020004096 is 690400020021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 767935 + ... + 910913.

Almost surely, 2120020004096 is an apocalyptic number.

120020004096 is a gapful number since it is divisible by the number (16) 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 120020004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159861362640).

120020004096 is an abundant number, since it is smaller than the sum of its proper divisors (199702721184).

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

120020004096 is a wasteful number, since it uses less digits than its factorization.

120020004096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144091 (or 144077 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 120020004096 in words is "one hundred twenty billion, twenty million, four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1093 2186 3279 4372 6558 8744 13116 17488 26232 34976 52464 69952 104928 139904 142979 209856 279808 285958 419712 428937 571916 839424 857874 1143832 1715748 2287664 3431496 4575328 6862992 9150656 13725984 18301312 27451968 36602624 54903936 109807872 156276047 312552094 468828141 625104188 937656282 1250208376 1875312564 2500416752 3750625128 5000833504 7501250256 10001667008 15002500512 20003334016 30005001024 40006668032 60010002048 120020004096