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5466052064 = 251124633049
BaseRepresentation
bin1010001011100110…
…10101010111100000
3112002221100012210202
411011303111113200
542143302131224
62302220244332
7252311450564
oct50563252740
915087305722
105466052064
112355497900
1210866a06a8
13691588a45
1439bd3b6a4
1521ed15eae
hex145cd55e0

5466052064 has 72 divisors (see below), whose sum is σ = 11857960800. Its totient is φ = 2478389760.

The previous prime is 5466052049. The next prime is 5466052231. The reversal of 5466052064 is 4602506645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1791212 + ... + 1794260.

It is an arithmetic number, because the mean of its divisors is an integer number (164693900).

Almost surely, 25466052064 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 5466052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928980400).

5466052064 is an abundant number, since it is smaller than the sum of its proper divisors (6391908736).

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

5466052064 is a wasteful number, since it uses less digits than its factorization.

5466052064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 5466052064 is about 73932.7536616891. The cubic root of 5466052064 is about 1761.5349110019.

The spelling of 5466052064 in words is "five billion, four hundred sixty-six million, fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 463 484 926 968 1852 1936 3049 3704 3872 5093 6098 7408 10186 12196 14816 20372 24392 33539 40744 48784 56023 67078 81488 97568 112046 134156 162976 224092 268312 368929 448184 536624 737858 896368 1073248 1411687 1475716 1792736 2823374 2951432 5646748 5902864 11293496 11805728 15528557 22586992 31057114 45173984 62114228 124228456 170814127 248456912 341628254 496913824 683256508 1366513016 2733026032 5466052064