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5146433256 = 23317311093733
BaseRepresentation
bin1001100101100000…
…00101011011101000
3111021122220220020010
410302300011123220
541014441331011
62210401531520
7241350650406
oct46260053350
914248826203
105146433256
112201033528
12bb7643ba0
136402ac1a3
1436b6dc476
15201c2e1a6
hex132c056e8

5146433256 has 128 divisors (see below), whose sum is σ = 14195174400. Its totient is φ = 1547735040.

The previous prime is 5146433251. The next prime is 5146433263. The reversal of 5146433256 is 6523346415.

It is not an unprimeable number, because it can be changed into a prime (5146433251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1376766 + ... + 1380498.

It is an arithmetic number, because the mean of its divisors is an integer number (110899800).

Almost surely, 25146433256 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 5146433256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097587200).

5146433256 is an abundant number, since it is smaller than the sum of its proper divisors (9048741144).

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

5146433256 is a wasteful number, since it uses less digits than its factorization.

5146433256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3895 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 5146433256 is about 71738.6454848431. The cubic root of 5146433256 is about 1726.5087416041.

The spelling of 5146433256 in words is "five billion, one hundred forty-six million, four hundred thirty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 109 124 136 186 204 218 248 327 372 408 436 527 654 744 872 1054 1308 1581 1853 2108 2616 3162 3379 3706 3733 4216 5559 6324 6758 7412 7466 10137 11118 11199 12648 13516 14824 14932 20274 22236 22398 27032 29864 40548 44472 44796 57443 63461 81096 89592 114886 115723 126922 172329 190383 229772 231446 253844 344658 347169 380766 406897 459544 462892 507688 689316 694338 761532 813794 925784 1220691 1378632 1388676 1523064 1627588 1967291 2441382 2777352 3255176 3934582 4882764 5901873 6917249 7869164 9765528 11803746 12613807 13834498 15738328 20751747 23607492 25227614 27668996 37841421 41503494 47214984 50455228 55337992 75682842 83006988 100910456 151365684 166013976 214434719 302731368 428869438 643304157 857738876 1286608314 1715477752 2573216628 5146433256