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5164256064 = 2631110922433
BaseRepresentation
bin1001100111101000…
…00100101101000000
3111022220110101112010
410303310010231000
541034022143224
62212235532520
7241655311062
oct46364045500
914286411463
105164256064
1122100a7020
1210015ba140
13643bac626
1436dc1b732
1520359ee29
hex133d04b40

5164256064 has 112 divisors (see below), whose sum is σ = 15043343040. Its totient is φ = 1550499840.

The previous prime is 5164256059. The next prime is 5164256089. The reversal of 5164256064 is 4606524615.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 218992 + ... + 241424.

Almost surely, 25164256064 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 5164256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521671520).

5164256064 is an abundant number, since it is smaller than the sum of its proper divisors (9879086976).

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

5164256064 is a wasteful number, since it uses less digits than its factorization.

5164256064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22568 (or 22558 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 5164256064 is about 71862.7585331930. The cubic root of 5164256064 is about 1728.4994912354.

The spelling of 5164256064 in words is "five billion, one hundred sixty-four million, two hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 132 176 192 218 264 327 352 436 528 654 704 872 1056 1199 1308 1744 2112 2398 2616 3488 3597 4796 5232 6976 7194 9592 10464 14388 19184 20928 22433 28776 38368 44866 57552 67299 76736 89732 115104 134598 179464 230208 246763 269196 358928 493526 538392 717856 740289 987052 1076784 1435712 1480578 1974104 2153568 2445197 2961156 3948208 4307136 4890394 5922312 7335591 7896416 9780788 11844624 14671182 15792832 19561576 23689248 26897167 29342364 39123152 47378496 53794334 58684728 78246304 80691501 107588668 117369456 156492608 161383002 215177336 234738912 322766004 430354672 469477824 645532008 860709344 1291064016 1721418688 2582128032 5164256064