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472158631044 = 223271216132
BaseRepresentation
bin1101101111011101101…
…10001111010010000100
31200010201112202121222100
412313232312033102010
530213440102143134
61000523502032100
746053350100432
oct6675666172204
91603645677870
10472158631044
11172272268971
1277610b78630
13356a8061669
1418bd1767d52
15c4367a3999
hex6deed8f484

472158631044 has 81 divisors (see below), whose sum is σ = 1211309852389. Its totient is φ = 155073303840.

The previous prime is 472158631033. The next prime is 472158631067. The reversal of 472158631044 is 440136851274.

The square root of 472158631044 is 687138.

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

472158631044 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 5 + 8 + 631 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 295011922500 + 177146708544 = 543150^2 + 420888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 292719982 + ... + 292721594.

Almost surely, 2472158631044 is an apocalyptic number.

472158631044 is the 687138-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472158631044

472158631044 is an abundant number, since it is smaller than the sum of its proper divisors (739151221345).

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

472158631044 is an equidigital number, since it uses as much as digits as its factorization.

472158631044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 472158631044 in words is "four hundred seventy-two billion, one hundred fifty-eight million, six hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 1613 2556 3226 4839 5041 6452 9678 10082 14517 15123 19356 20164 29034 30246 45369 58068 60492 90738 114523 181476 229046 343569 458092 687138 1030707 1374276 2061414 2601769 4122828 5203538 7805307 8131133 10407076 15610614 16262266 23415921 24393399 31221228 32524532 46831842 48786798 73180197 93663684 97573596 146360394 184725599 292720788 369451198 554176797 738902396 1108353594 1662530391 2216707188 3325060782 6650121564 13115517529 26231035058 39346552587 52462070116 78693105174 118039657761 157386210348 236079315522 472158631044