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14874631830 = 2345113163997
BaseRepresentation
bin11011101101001100…
…01101111010010110
31102101122020120220000
431312212031322112
5220430401204310
610455554552130
71034415166362
oct156646157226
942348216800
1014874631830
116343384063
122a71598646
1315308928c6
14a1170c2a2
155c0ced4c0
hex37698de96

14874631830 has 160 divisors (see below), whose sum is σ = 40638448224. Its totient is φ = 3903427584.

The previous prime is 14874631817. The next prime is 14874631879. The reversal of 14874631830 is 3813647841.

14874631830 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 4 + 631 + 8 + 3 + 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14918892 + ... + 14919888.

Almost surely, 214874631830 is an apocalyptic number.

14874631830 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 14874631830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20319224112).

14874631830 is an abundant number, since it is smaller than the sum of its proper divisors (25763816394).

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

14874631830 is a wasteful number, since it uses less digits than its factorization.

14874631830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14874631830 in words is "fourteen billion, eight hundred seventy-four million, six hundred thirty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 113 135 162 163 226 270 326 339 405 489 565 678 810 815 978 997 1017 1130 1467 1630 1695 1994 2034 2445 2934 2991 3051 3390 4401 4890 4985 5085 5982 6102 7335 8802 8973 9153 9970 10170 13203 14670 14955 15255 17946 18306 18419 22005 26406 26919 29910 30510 36838 44010 44865 45765 53838 55257 66015 80757 89730 91530 92095 110514 112661 132030 134595 161514 162511 165771 184190 225322 269190 276285 325022 331542 337983 403785 487533 497313 552570 563305 675966 807570 812555 828855 975066 994626 1013949 1126610 1462599 1491939 1625110 1657710 1689915 2027898 2437665 2486565 2925198 2983878 3041847 3379830 4387797 4875330 4973130 5069745 6083694 7312995 7459695 8775594 9125541 10139490 13163391 14625990 14919390 15209235 18251082 18363743 21938985 26326782 30418470 36727486 43877970 45627705 55091229 65816955 91255410 91818715 110182458 131633910 165273687 183637430 275456145 330547374 495821061 550912290 826368435 991642122 1487463183 1652736870 2479105305 2974926366 4958210610 7437315915 14874631830