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13708506250000 = 245814812
BaseRepresentation
bin1100011101111100001010…
…1001010011101100010000
31210112112001101000012100201
43013133002221103230100
53244100010100000000
645053333440224544
72613256364352532
oct307370251235420
953475041005321
1013708506250000
114405821441971
12165497300b154
137859254cb283
143556d0d35852
1518b8ca3d996a
hexc77c2a53b10

13708506250000 has 135 divisors (see below), whose sum is σ = 33222704181373. Its totient is φ = 5479700000000.

The previous prime is 13708506249989. The next prime is 13708506250027. The reversal of 13708506250000 is 5260580731.

The square root of 13708506250000 is 3702500.

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

It can be written as a sum of positive squares in 13 ways, for example, as 288768666384 + 13419737583616 = 537372^2 + 3663296^2 .

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, 9256249260 + ... + 9256250740.

Almost surely, 213708506250000 is an apocalyptic number.

13708506250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13708506250000 is the 3702500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13708506250000

13708506250000 is an abundant number, since it is smaller than the sum of its proper divisors (19514197931373).

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

13708506250000 is an frugal number, since it uses more digits than its factorization.

13708506250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 13708506250000 in words is "thirteen trillion, seven hundred eight billion, five hundred six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1481 2000 2500 2962 3125 5000 5924 6250 7405 10000 11848 12500 14810 15625 23696 25000 29620 31250 37025 50000 59240 62500 74050 78125 118480 125000 148100 156250 185125 250000 296200 312500 370250 390625 592400 625000 740500 781250 925625 1250000 1481000 1562500 1851250 2193361 2962000 3125000 3702500 4386722 4628125 6250000 7405000 8773444 9256250 10966805 14810000 17546888 18512500 21933610 23140625 35093776 37025000 43867220 46281250 54834025 74050000 87734440 92562500 109668050 115703125 175468880 185125000 219336100 231406250 274170125 370250000 438672200 462812500 548340250 578515625 877344400 925625000 1096680500 1157031250 1370850625 1851250000 2193361000 2314062500 2741701250 4386722000 4628125000 5483402500 6854253125 9256250000 10966805000 13708506250 21933610000 27417012500 34271265625 54834025000 68542531250 109668050000 137085062500 171356328125 274170125000 342712656250 548340250000 685425312500 856781640625 1370850625000 1713563281250 2741701250000 3427126562500 6854253125000 13708506250000