Search a number
-
+
521423631216 = 243231887131687
BaseRepresentation
bin1111001011001110100…
…01010011001101110000
31211211212220112221101100
413211213101103031300
532020333422144331
61035312210004400
752446235510515
oct7454721231560
91754786487340
10521423631216
11191153056744
128507b876700
133a229759337
141b34660d30c
15d86b860ae6
hex7967453370

521423631216 has 120 divisors (see below), whose sum is σ = 1508044621824. Its totient is φ = 168010266240.

The previous prime is 521423631193. The next prime is 521423631221. The reversal of 521423631216 is 612136324125.

521423631216 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 2 + 3 + 631 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3893725 + ... + 4025411.

Almost surely, 2521423631216 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 521423631216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754022310912).

521423631216 is an abundant number, since it is smaller than the sum of its proper divisors (986620990608).

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

521423631216 is a wasteful number, since it uses less digits than its factorization.

521423631216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132619 (or 132610 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 521423631216 in words is "five hundred twenty-one billion, four hundred twenty-three million, six hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 887 1116 1488 1774 2232 2661 3548 4464 5322 7096 7983 10644 14192 15966 21288 27497 31932 42576 54994 63864 82491 109988 127728 131687 164982 219976 247473 263374 329964 395061 439952 494946 526748 659928 790122 989892 1053496 1185183 1319856 1580244 1979784 2106992 2370366 3160488 3959568 4082297 4740732 6320976 8164594 9481464 12246891 16329188 18962928 24493782 32658376 36740673 48987564 65316752 73481346 97975128 116806369 146962692 195950256 233612738 293925384 350419107 467225476 587850768 700838214 934450952 1051257321 1401676428 1868901904 2102514642 2803352856 3620997439 4205029284 5606705712 7241994878 8410058568 10862992317 14483989756 16820117136 21725984634 28967979512 32588976951 43451969268 57935959024 65177953902 86903938536 130355907804 173807877072 260711815608 521423631216