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13882190700 = 22352710761781
BaseRepresentation
bin11001110110111000…
…10110101101101100
31022211110210100121010
430323130112231230
5211412320100300
610213303305220
71001004450120
oct147334265554
938743710533
1013882190700
115984153384
12283514b210
1314030a1131
149599ab580
15563b11a50
hex33b716b6c

13882190700 has 144 divisors (see below), whose sum is σ = 46333534464. Its totient is φ = 3143366400.

The previous prime is 13882190677. The next prime is 13882190741. The reversal of 13882190700 is 709128831.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193810 + ... + 255590.

It is an arithmetic number, because the mean of its divisors is an integer number (321760656).

Almost surely, 213882190700 is an apocalyptic number.

13882190700 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 13882190700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23166767232).

13882190700 is an abundant number, since it is smaller than the sum of its proper divisors (32451343764).

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

13882190700 is a wasteful number, since it uses less digits than its factorization.

13882190700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61912 (or 61905 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 13882190700 in words is "thirteen billion, eight hundred eighty-two million, one hundred ninety thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 107 140 150 175 210 214 300 321 350 420 428 525 535 642 700 749 1050 1070 1284 1498 1605 2100 2140 2247 2675 2996 3210 3745 4494 5350 6420 7490 8025 8988 10700 11235 14980 16050 18725 22470 32100 37450 44940 56175 61781 74900 112350 123562 185343 224700 247124 308905 370686 432467 617810 741372 864934 926715 1235620 1297401 1544525 1729868 1853430 2162335 2594802 3089050 3706860 4324670 4633575 5189604 6178100 6487005 6610567 8649340 9267150 10811675 12974010 13221134 18534300 19831701 21623350 25948020 26442268 32435025 33052835 39663402 43246700 46273969 64870050 66105670 79326804 92547938 99158505 129740100 132211340 138821907 165264175 185095876 198317010 231369845 277643814 330528350 396634020 462739690 495792525 555287628 661056700 694109535 925479380 991585050 1156849225 1388219070 1983170100 2313698450 2776438140 3470547675 4627396900 6941095350 13882190700