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5538642432 = 29317474513
BaseRepresentation
bin1010010100010000…
…01111101000000000
3112021222221012001220
411022020033220000
542320343024212
62313332155040
7254152453401
oct51210175000
915258835056
105538642432
112392468044
1210a6a68a80
136a362361b
143a78359a8
152263a438c
hex14a20fa00

5538642432 has 160 divisors (see below), whose sum is σ = 15959192832. Its totient is φ = 1700265984.

The previous prime is 5538642419. The next prime is 5538642457. The reversal of 5538642432 is 2342468355.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225008 + ... + 1229520.

Almost surely, 25538642432 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 5538642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979596416).

5538642432 is an abundant number, since it is smaller than the sum of its proper divisors (10420550400).

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

5538642432 is a wasteful number, since it uses less digits than its factorization.

5538642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4582 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 5538642432 is about 74422.0560855450. The cubic root of 5538642432 is about 1769.2985007808.

The spelling of 5538642432 in words is "five billion, five hundred thirty-eight million, six hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 64 68 94 96 102 128 136 141 188 192 204 256 272 282 376 384 408 512 544 564 752 768 799 816 1088 1128 1504 1536 1598 1632 2176 2256 2397 3008 3196 3264 4352 4512 4513 4794 6016 6392 6528 8704 9024 9026 9588 12032 12784 13056 13539 18048 18052 19176 24064 25568 26112 27078 36096 36104 38352 51136 54156 72192 72208 76704 76721 102272 108312 144416 153408 153442 204544 212111 216624 230163 288832 306816 306884 409088 424222 433248 460326 577664 613632 613768 636333 848444 866496 920652 1155328 1227264 1227536 1272666 1696888 1732992 1841304 2310656 2455072 2545332 3393776 3465984 3605887 3682608 4910144 5090664 6787552 6931968 7211774 7365216 9820288 10181328 10817661 13575104 14423548 14730432 19640576 20362656 21635322 27150208 28847096 29460864 39281152 40725312 43270644 54300416 57694192 58921728 81450624 86541288 108600832 115388384 117843456 162901248 173082576 230776768 325802496 346165152 461553536 692330304 923107072 1384660608 1846214144 2769321216 5538642432