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16402136132900 = 22527225447131543
BaseRepresentation
bin1110111010101110101101…
…1111110110110100100100
32011002000210001211222011202
43232223223133312310210
54122213033322223100
654515012021022032
73312005136524300
oct356535337666444
964060701758152
1016402136132900
11525411a276061
121a0aa16254918
1391c93a555acb
14409c20a94d00
151d69cd0c77d5
hexeeaeb7f6d24

16402136132900 has 108 divisors (see below), whose sum is σ = 41405619745728. Its totient is φ = 5623325789760.

The previous prime is 16402136132897. The next prime is 16402136132933. The reversal of 16402136132900 is 923163120461.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124624529 + ... + 124756071.

It is an arithmetic number, because the mean of its divisors is an integer number (383385368016).

Almost surely, 216402136132900 is an apocalyptic number.

16402136132900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16402136132900 is an abundant number, since it is smaller than the sum of its proper divisors (25003483612828).

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

16402136132900 is a wasteful number, since it uses less digits than its factorization.

16402136132900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157018 (or 157004 counting only the distinct ones).

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

The spelling of 16402136132900 in words is "sixteen trillion, four hundred two billion, one hundred thirty-six million, one hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 25447 50894 101788 127235 131543 178129 254470 263086 356258 508940 526172 636175 657715 712516 890645 920801 1246903 1272350 1315430 1781290 1841602 2493806 2544700 2630860 3288575 3562580 3683204 4453225 4604005 4987612 6234515 6445607 6577150 8906450 9208010 12469030 12891214 13154300 17812900 18416020 23020025 24938060 25782428 31172575 32228035 46040050 62345150 64456070 92080100 124690300 128912140 161140175 322280350 644560700 3347374721 6694749442 13389498884 16736873605 23431623047 33473747210 46863246094 66947494420 83684368025 93726492188 117158115235 164021361329 167368736050 234316230470 328042722658 334737472100 468632460940 585790576175 656085445316 820106806645 1171581152350 1640213613290 2343162304700 3280427226580 4100534033225 8201068066450 16402136132900