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631821496384 = 2613276432
BaseRepresentation
bin10010011000110110111…
…11101111000001000000
32020101211201121120011101
421030123133233001000
540322432300341014
61202131011224144
763435061051651
oct11143337570100
92211751546141
10631821496384
11223a54843841
12a254b8a8054
13477714cac00
142281a59d528
151167d849474
hex931b7ef040

631821496384 has 63 divisors (see below), whose sum is σ = 1357811104413. Its totient is φ = 291571767552.

The previous prime is 631821496291. The next prime is 631821496391. The reversal of 631821496384 is 483694128136.

The square root of 631821496384 is 794872.

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

It can be written as a sum of positive squares in only one way, i.e., 93464718400 + 538356777984 = 305720^2 + 733728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82662867 + ... + 82670509.

Almost surely, 2631821496384 is an apocalyptic number.

631821496384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

631821496384 is the 794872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631821496384

631821496384 is an abundant number, since it is smaller than the sum of its proper divisors (725989608029).

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

631821496384 is an frugal number, since it uses more digits than its factorization.

631821496384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15324 (or 7658 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 55.

The spelling of 631821496384 in words is "six hundred thirty-one billion, eight hundred twenty-one million, four hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 7643 10816 15286 30572 61144 99359 122288 198718 244576 397436 489152 794872 1291667 1589744 2583334 3179488 5166668 6358976 10333336 20666672 41333344 58415449 82666688 116830898 233661796 467323592 759400837 934647184 1518801674 1869294368 3037603348 3738588736 6075206696 9872210881 12150413392 19744421762 24300826784 39488843524 48601653568 78977687048 157955374096 315910748192 631821496384