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8010446512 = 2417219731249
BaseRepresentation
bin1110111010111010…
…11011011010110000
3202200021001211211011
413131131123122300
5112401133242022
63402511400304
7402335446315
oct73535333260
922607054734
108010446512
113440763032
121676823094
139a875cca3
1455dc26d0c
1531d3b0977
hex1dd75b6b0

8010446512 has 120 divisors (see below), whose sum is σ = 17606450000. Its totient is φ = 3519479808.

The previous prime is 8010446413. The next prime is 8010446519. The reversal of 8010446512 is 2156440108.

It is a super-2 number, since 2×80104465122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8010446519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6412864 + ... + 6414112.

Almost surely, 28010446512 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 8010446512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8803225000).

8010446512 is an abundant number, since it is smaller than the sum of its proper divisors (9596003488).

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

8010446512 is a wasteful number, since it uses less digits than its factorization.

8010446512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 8010446512 is about 89501.0978256692. The cubic root of 8010446512 is about 2000.8701640191.

The spelling of 8010446512 in words is "eight billion, ten million, four hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 19 34 38 68 73 76 136 146 152 272 289 292 304 323 578 584 646 1156 1168 1241 1249 1292 1387 2312 2482 2498 2584 2774 4624 4964 4996 5168 5491 5548 9928 9992 10982 11096 19856 19984 21097 21233 21964 22192 23579 23731 42194 42466 43928 47158 47462 84388 84932 87856 91177 94316 94924 168776 169864 182354 188632 189848 337552 339728 360961 364708 377264 379696 400843 403427 721922 729416 801686 806854 1443844 1458832 1550009 1603372 1613708 1732363 2887688 3100018 3206744 3227416 3464726 5775376 6200036 6413488 6454832 6858259 6929452 12400072 13716518 13858904 24800144 26350153 27433036 27717808 29450171 52700306 54866072 58900342 105400612 109732144 117800684 210801224 235601368 421602448 471202736 500652907 1001305814 2002611628 4005223256 8010446512