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16249394000 = 245373137441
BaseRepresentation
bin11110010001000101…
…00001001101010000
31112221110002202001102
433020202201031100
5231234321102000
611244224523532
71113450366350
oct171042411520
945843082042
1016249394000
1169893a5244
123195a805a8
1316bc645b48
14b02130b60
1565185a3d5
hex3c88a1350

16249394000 has 160 divisors (see below), whose sum is σ = 46353795072. Its totient is φ = 5391360000.

The previous prime is 16249393991. The next prime is 16249394033. The reversal of 16249394000 is 49394261.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415280 + ... + 452720.

Almost surely, 216249394000 is an apocalyptic number.

16249394000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16249394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23176897536).

16249394000 is an abundant number, since it is smaller than the sum of its proper divisors (30104401072).

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

16249394000 is a wasteful number, since it uses less digits than its factorization.

16249394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37502 (or 37486 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 16249394000 in words is "sixteen billion, two hundred forty-nine million, three hundred ninety-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 125 140 155 175 200 217 248 250 280 310 350 400 434 496 500 560 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2000 2170 2480 2800 3100 3472 3500 3875 4340 5425 6200 7000 7750 8680 10850 12400 14000 15500 17360 21700 27125 31000 37441 43400 54250 62000 74882 86800 108500 149764 187205 217000 262087 299528 374410 434000 524174 599056 748820 936025 1048348 1160671 1310435 1497640 1872050 2096696 2321342 2620870 2995280 3744100 4193392 4642684 4680125 5241740 5803355 6552175 7488200 8124697 9285368 9360250 10483480 11606710 13104350 14976400 16249394 18570736 18720500 20966960 23213420 26208700 29016775 32498788 32760875 37441000 40623485 46426840 52417400 58033550 64997576 65521750 74882000 81246970 92853680 104834800 116067100 129995152 131043500 145083875 162493940 203117425 232134200 262087000 290167750 324987880 406234850 464268400 524174000 580335500 649975760 812469700 1015587125 1160671000 1624939400 2031174250 2321342000 3249878800 4062348500 8124697000 16249394000