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102494741904 = 243488932
BaseRepresentation
bin101111101110100101…
…0011010010110010000
3100210120000221100210000
41133131022122112100
53134402123220104
6115030242010000
710255625634342
oct1373512322620
9323500840700
10102494741904
113a516678675
1217a45346900
13988561a799
144d64503292
1529ed277639
hex17dd29a590

102494741904 has 75 divisors (see below), whose sum is σ = 296682880593. Its totient is φ = 34161072192.

The previous prime is 102494741891. The next prime is 102494741929. The reversal of 102494741904 is 409147494201.

The square root of 102494741904 is 320148.

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

102494741904 is a `hidden beast` number, since 1 + 0 + 2 + 494 + 74 + 1 + 90 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13900410000 + 88594331904 = 117900^2 + 297648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102494741904.

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 14 ways as a sum of consecutive naturals, for example, 11520882 + ... + 11529774.

Almost surely, 2102494741904 is an apocalyptic number.

102494741904 is the 320148-th square number.

It is an amenable number.

102494741904 is an abundant number, since it is smaller than the sum of its proper divisors (194188138689).

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

102494741904 is an frugal number, since it uses more digits than its factorization.

102494741904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17806 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 102494741904 in words is "one hundred two billion, four hundred ninety-four million, seven hundred forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 8893 17786 26679 35572 53358 71144 80037 106716 142288 160074 213432 240111 320148 426864 480222 640296 720333 960444 1280592 1440666 1920888 2881332 3841776 5762664 11525328 79085449 158170898 237256347 316341796 474512694 632683592 711769041 949025388 1265367184 1423538082 1898050776 2135307123 2847076164 3796101552 4270614246 5694152328 6405921369 8541228492 11388304656 12811842738 17082456984 25623685476 34164913968 51247370952 102494741904