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5438966976 = 263223939509
BaseRepresentation
bin1010001000011000…
…00000110011000000
3112001001101011001100
411010030000303000
542114333420401
62255411534400
7251532312402
oct50414006300
915031334040
105438966976
112341178433
1210795ba400
13688a94771
143984cab72
1521c765b86
hex144300cc0

5438966976 has 84 divisors (see below), whose sum is σ = 15655442400. Its totient is φ = 1805357568.

The previous prime is 5438966899. The next prime is 5438966977. The reversal of 5438966976 is 6796698345.

5438966976 is a `hidden beast` number, since 543 + 89 + 6 + 6 + 9 + 7 + 6 = 666.

It is a super-3 number, since 3×54389669763 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5438966977) 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, 117910 + ... + 157418.

Almost surely, 25438966976 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 5438966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827721200).

5438966976 is an abundant number, since it is smaller than the sum of its proper divisors (10216475424).

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

5438966976 is a wasteful number, since it uses less digits than its factorization.

5438966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39766 (or 39753 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The square root of 5438966976 is about 73749.3523768175. The cubic root of 5438966976 is about 1758.6205375371.

The spelling of 5438966976 in words is "five billion, four hundred thirty-eight million, nine hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 239 288 478 576 717 956 1434 1912 2151 2868 3824 4302 5736 7648 8604 11472 15296 17208 22944 34416 39509 45888 68832 79018 118527 137664 158036 237054 316072 355581 474108 632144 711162 948216 1264288 1422324 1896432 2528576 2844648 3792864 5689296 7585728 9442651 11378592 18885302 22757184 28327953 37770604 56655906 75541208 84983859 113311812 151082416 169967718 226623624 302164832 339935436 453247248 604329664 679870872 906494496 1359741744 1812988992 2719483488 5438966976