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31492051600 = 24521924672
BaseRepresentation
bin11101010101000100…
…101001001010010000
310000021201211222101111
4131111010221022100
51003443431122400
622244531543104
72163255010342
oct352504511220
9100251758344
1031492051600
11123a0495529
12612a75aa94
132c7b533579
14174a67d292
15c44b033ba
hex755129290

31492051600 has 135 divisors (see below), whose sum is σ = 80022678537. Its totient is φ = 11908275840.

The previous prime is 31492051589. The next prime is 31492051621. The reversal of 31492051600 is 615029413.

The square root of 31492051600 is 177460.

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., 11337138576 + 20154913024 = 106476^2 + 141968^2 .

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, 67434567 + ... + 67435033.

Almost surely, 231492051600 is an apocalyptic number.

31492051600 is the 177460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31492051600

31492051600 is an abundant number, since it is smaller than the sum of its proper divisors (48530626937).

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

31492051600 is an equidigital number, since it uses as much as digits as its factorization.

31492051600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 31492051600 in words is "thirty-one billion, four hundred ninety-two million, fifty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 361 380 400 467 475 722 760 934 950 1444 1520 1805 1868 1900 2335 2888 3610 3736 3800 4670 5776 7220 7472 7600 8873 9025 9340 11675 14440 17746 18050 18680 23350 28880 35492 36100 37360 44365 46700 70984 72200 88730 93400 141968 144400 168587 177460 186800 218089 221825 337174 354920 436178 443650 674348 709840 842935 872356 887300 1090445 1348696 1685870 1744712 1774600 2180890 2697392 3371740 3489424 3549200 4143691 4214675 4361780 5452225 6743480 8287382 8429350 8723560 10904450 13486960 16574764 16858700 17447120 20718455 21808900 33149528 33717400 41436910 43617800 66299056 67434800 78730129 82873820 87235600 103592275 157460258 165747640 207184550 314920516 331495280 393650645 414369100 629841032 787301290 828738200 1259682064 1574602580 1657476400 1968253225 3149205160 3936506450 6298410320 7873012900 15746025800 31492051600