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18214786100 = 2252797457587
BaseRepresentation
bin10000111101101011…
…111001010000110100
31202000102100000011102
4100331223321100310
5244300441123400
612211234025232
71213244061440
oct207553712064
952012300142
1018214786100
1177a7854435
123644118218
131943893a54
14c4b17b820
157191839d5
hex43daf9434

18214786100 has 144 divisors (see below), whose sum is σ = 45816150912. Its totient is φ = 6156656640.

The previous prime is 18214786099. The next prime is 18214786133. The reversal of 18214786100 is 168741281.

It is a happy number.

It is a congruent number.

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, 31030007 + ... + 31030593.

Almost surely, 218214786100 is an apocalyptic number.

18214786100 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 18214786100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22908075456).

18214786100 is an abundant number, since it is smaller than the sum of its proper divisors (27601364812).

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

18214786100 is a wasteful number, since it uses less digits than its factorization.

18214786100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 18214786100 in words is "eighteen billion, two hundred fourteen million, seven hundred eighty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 457 485 587 679 700 914 970 1174 1358 1828 1940 2285 2348 2425 2716 2935 3199 3395 4109 4570 4850 5870 6398 6790 8218 9140 9700 11425 11740 12796 13580 14675 15995 16436 16975 20545 22850 29350 31990 33950 41090 44329 45700 56939 58700 63980 67900 79975 82180 88658 102725 113878 159950 177316 205450 221645 227756 268259 284695 310303 319900 398573 410900 443290 536518 569390 620606 797146 886580 1073036 1108225 1138780 1241212 1341295 1423475 1551515 1594292 1877813 1992865 2216450 2682590 2846950 3103030 3755626 3985730 4432900 5365180 5693900 6206060 6706475 7511252 7757575 7971460 9389065 9964325 13412950 15515150 18778130 19928650 26021123 26825900 31030300 37556260 39857300 46945325 52042246 93890650 104084492 130105615 182147861 187781300 260211230 364295722 520422460 650528075 728591444 910739305 1301056150 1821478610 2602112300 3642957220 4553696525 9107393050 18214786100