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5438472516 = 22341722412
BaseRepresentation
bin1010001000010100…
…01000000101000100
3112001000110000210000
411010022020011010
542114222110031
62255353201300
7251525153001
oct50412100504
915030400700
105438472516
11234096a994
121079400230
13688950699
143983dc8a8
1521c6b93e6
hex144288144

5438472516 has 135 divisors (see below), whose sum is σ = 15165671367. Its totient is φ = 1699107840.

The previous prime is 5438472497. The next prime is 5438472541. The reversal of 5438472516 is 6152748345.

The square root of 5438472516 is 73746.

It is a perfect power (a square), and thus also a powerful number.

5438472516 is a `hidden beast` number, since 54 + 3 + 84 + 7 + 2 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1532722500 + 3905750016 = 39150^2 + 62496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22566156 + ... + 22566396.

Almost surely, 25438472516 is an apocalyptic number.

5438472516 is the 73746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5438472516

5438472516 is an abundant number, since it is smaller than the sum of its proper divisors (9727198851).

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

5438472516 is a wasteful number, since it uses less digits than its factorization.

5438472516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 263 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The cubic root of 5438472516 is about 1758.5672434792.

The spelling of 5438472516 in words is "five billion, four hundred thirty-eight million, four hundred seventy-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 241 289 306 324 459 482 578 612 723 867 918 964 1156 1377 1446 1734 1836 2169 2601 2754 2892 3468 4097 4338 5202 5508 6507 7803 8194 8676 10404 12291 13014 15606 16388 19521 23409 24582 26028 31212 36873 39042 46818 49164 58081 69649 73746 78084 93636 110619 116162 139298 147492 174243 208947 221238 232324 278596 331857 348486 417894 442476 522729 626841 663714 696972 835788 987377 1045458 1253682 1327428 1568187 1880523 1974754 2090916 2507364 2962131 3136374 3761046 3949508 4704561 5641569 5924262 6272748 7522092 8886393 9409122 11283138 11848524 16785409 17772786 18818244 22566276 26659179 33570818 35545572 50356227 53318358 67141636 79977537 100712454 106636716 151068681 159955074 201424908 302137362 319910148 453206043 604274724 906412086 1359618129 1812824172 2719236258 5438472516