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5634332448 = 253232110947
BaseRepresentation
bin1010011111101010…
…10001011100100000
3112112122222202002120
411033311101130200
543014342114243
62331031144240
7256424015133
oct51765213440
915478882076
105634332448
1124314853a8
121112b15080
136ba3b8434
143b642421a
1522e9a6c83
hex14fd51720

5634332448 has 72 divisors (see below), whose sum is σ = 15461269488. Its totient is φ = 1796437632.

The previous prime is 5634332443. The next prime is 5634332449. The reversal of 5634332448 is 8442334365.

It is not an unprimeable number, because it can be changed into a prime (5634332443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4690 + ... + 106257.

It is an arithmetic number, because the mean of its divisors is an integer number (214739854).

Almost surely, 25634332448 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 5634332448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730634744).

5634332448 is an abundant number, since it is smaller than the sum of its proper divisors (9826937040).

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

5634332448 is a wasteful number, since it uses less digits than its factorization.

5634332448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111006 (or 110975 counting only the distinct ones).

The product of its digits is 829440, while the sum is 42.

The square root of 5634332448 is about 75062.1905355819. The cubic root of 5634332448 is about 1779.4296502009.

The spelling of 5634332448 in words is "five billion, six hundred thirty-four million, three hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 529 552 736 1058 1104 1587 2116 2208 3174 4232 6348 8464 12696 16928 25392 50784 110947 221894 332841 443788 665682 887576 1331364 1775152 2551781 2662728 3550304 5103562 5325456 7655343 10207124 10650912 15310686 20414248 30621372 40828496 58690963 61242744 81656992 117381926 122485488 176072889 234763852 244970976 352145778 469527704 704291556 939055408 1408583112 1878110816 2817166224 5634332448