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5451246560 = 2552311313109
BaseRepresentation
bin1010001001110101…
…10110101111100000
3112001220111000110202
411010322312233200
542131004342220
62300531044332
7252041555054
oct50472665740
915056430422
105451246560
1123480a5251
1210817406a8
1368b4a3aa6
14399da5c64
1521d88e275
hex144eb6be0

5451246560 has 96 divisors (see below), whose sum is σ = 13558466880. Its totient is φ = 2067079168.

The previous prime is 5451246511. The next prime is 5451246599. The reversal of 5451246560 is 656421545.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409286 + ... + 422394.

It is an arithmetic number, because the mean of its divisors is an integer number (141234030).

Almost surely, 25451246560 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 5451246560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779233440).

5451246560 is an abundant number, since it is smaller than the sum of its proper divisors (8107220320).

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

5451246560 is a wasteful number, since it uses less digits than its factorization.

5451246560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13260 (or 13252 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The square root of 5451246560 is about 73832.5575880993. The cubic root of 5451246560 is about 1759.9430250151.

The spelling of 5451246560 in words is "five billion, four hundred fifty-one million, two hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 113 115 160 184 226 230 368 452 460 565 736 904 920 1130 1808 1840 2260 2599 3616 3680 4520 5198 9040 10396 12995 13109 18080 20792 25990 26218 41584 51980 52436 65545 83168 103960 104872 131090 207920 209744 262180 301507 415840 419488 524360 603014 1048720 1206028 1481317 1507535 2097440 2412056 2962634 3015070 4824112 5925268 6030140 7406585 9648224 11850536 12060280 14813170 23701072 24120560 29626340 34070291 47402144 48241120 59252680 68140582 118505360 136281164 170351455 237010720 272562328 340702910 545124656 681405820 1090249312 1362811640 2725623280 5451246560