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8055852816 = 2431125932339
BaseRepresentation
bin1111000000010101…
…01000111100010000
3202210102111201120010
413200022220330100
5112444244242231
63411212514520
7403426422234
oct74012507420
922712451503
108055852816
113464356500
121689a7ba40
139b4c9a51b
14565c865c4
1532237e546
hex1e02a8f10

8055852816 has 120 divisors (see below), whose sum is σ = 22923220320. Its totient is φ = 2436008960.

The previous prime is 8055852799. The next prime is 8055852941. The reversal of 8055852816 is 6182585508.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3442975 + ... + 3445313.

It is an arithmetic number, because the mean of its divisors is an integer number (191026836).

Almost surely, 28055852816 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 8055852816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461610160).

8055852816 is an abundant number, since it is smaller than the sum of its proper divisors (14867367504).

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

8055852816 is a wasteful number, since it uses less digits than its factorization.

8055852816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 48.

The square root of 8055852816 is about 89754.4027666610. The cubic root of 8055852816 is about 2004.6436114256.

The spelling of 8055852816 in words is "eight billion, fifty-five million, eight hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 593 726 968 1186 1452 1779 1936 2339 2372 2904 3558 4678 4744 5808 6523 7017 7116 9356 9488 13046 14034 14232 18712 19569 25729 26092 28068 28464 37424 39138 51458 52184 56136 71753 77187 78276 102916 104368 112272 143506 154374 156552 205832 215259 283019 287012 308748 313104 411664 430518 566038 574024 617496 849057 861036 1132076 1148048 1234992 1387027 1698114 1722072 2264152 2774054 3396228 3444144 4161081 4528304 5548108 6792456 8322162 11096216 13584912 15257297 16644324 22192432 30514594 33288648 45771891 61029188 66577296 91543782 122058376 167830267 183087564 244116752 335660534 366175128 503490801 671321068 732350256 1006981602 1342642136 2013963204 2685284272 4027926408 8055852816