Search a number
-
+
18643731390 = 2335317612927
BaseRepresentation
bin10001010111010000…
…001100001110111110
31210010022110200111000
4101113100030032332
5301140243401030
612321555511130
71230003050004
oct212720141676
953108420430
1018643731390
1179a799a379
1237438b84a6
1319b16cb22b
14c8c118a74
15741b63860
hex45740c3be

18643731390 has 128 divisors (see below), whose sum is σ = 51405373440. Its totient is φ = 4803321600.

The previous prime is 18643731389. The next prime is 18643731397. The reversal of 18643731390 is 9313734681.

18643731390 is a `hidden beast` number, since 1 + 86 + 437 + 3 + 139 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18643731397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6368107 + ... + 6371033.

It is an arithmetic number, because the mean of its divisors is an integer number (401604480).

Almost surely, 218643731390 is an apocalyptic number.

18643731390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18643731390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25702686720).

18643731390 is an abundant number, since it is smaller than the sum of its proper divisors (32761642050).

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

18643731390 is a wasteful number, since it uses less digits than its factorization.

18643731390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 18643731390 in words is "eighteen billion, six hundred forty-three million, seven hundred thirty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 761 837 930 1395 1522 1674 2283 2790 2927 3805 4185 4566 5854 6849 7610 8370 8781 11415 13698 14635 17562 20547 22830 23591 26343 29270 34245 41094 43905 47182 52686 68490 70773 79029 87810 90737 102735 117955 131715 141546 158058 181474 205470 212319 235910 263430 272211 353865 395145 424638 453685 544422 636957 707730 790290 816633 907370 1061595 1273914 1361055 1633266 2123190 2227447 2449899 2722110 3184785 4083165 4454894 4899798 6369570 6682341 8166330 11137235 12249495 13364682 20047023 22274470 24498990 33411705 40094046 60141069 66823410 69050857 100235115 120282138 138101714 200470230 207152571 300705345 345254285 414305142 601410690 621457713 690508570 1035762855 1242915426 1864373139 2071525710 3107288565 3728746278 6214577130 9321865695 18643731390