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120003878764 = 2271117113202823
BaseRepresentation
bin110111111000011001…
…0011101111101101100
3102110202021110200011101
41233300302131331230
53431231443110024
6131043511332444
711445544065520
oct1576062357554
9373667420141
10120003878764
1146991074310
121b311081124
13b415c449b3
145b45a75d80
1531c54bec44
hex1bf0c9df6c

120003878764 has 96 divisors (see below), whose sum is σ = 279682937856. Its totient is φ = 43614842880.

The previous prime is 120003878717. The next prime is 120003878767. The reversal of 120003878764 is 467878300021.

It is not an unprimeable number, because it can be changed into a prime (120003878767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490257 + ... + 693079.

It is an arithmetic number, because the mean of its divisors is an integer number (2913363936).

Almost surely, 2120003878764 is an apocalyptic number.

120003878764 is a gapful number since it is divisible by the number (14) 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 120003878764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139841468928).

120003878764 is an abundant number, since it is smaller than the sum of its proper divisors (159679059092).

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

120003878764 is a wasteful number, since it uses less digits than its factorization.

120003878764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202975 (or 202973 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 120003878764 in words is "one hundred twenty billion, three million, eight hundred seventy-eight thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 113 119 154 187 226 238 308 374 452 476 748 791 1243 1309 1582 1921 2486 2618 3164 3842 4972 5236 7684 8701 13447 17402 21131 26894 34804 42262 53788 84524 147917 202823 295834 405646 591668 811292 1419761 2231053 2839522 3447991 4462106 5679044 6895982 8924212 13791964 15617371 22918999 24135937 31234742 37927901 45837998 48271874 62469484 75855802 91675996 96543748 151711604 160432993 252108989 265495307 320865986 389622983 504217978 530990614 641731972 779245966 1008435956 1061981228 1558491932 1764762923 2727360881 3529525846 4285852813 5454721762 7059051692 8571705626 10909443524 17143411252 30000969691 60001939382 120003878764