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6495214140 = 22325172122619
BaseRepresentation
bin1100000110010010…
…10001101000111100
3121202122220001202200
412003021101220330
5101300233323030
62552302551500
7316646260242
oct60311215074
917678801680
106495214140
112833419578
121313298590
137c686669c
144588ba792
15280357d60
hex183251a3c

6495214140 has 72 divisors (see below), whose sum is σ = 20861109360. Its totient is φ = 1630170624.

The previous prime is 6495214073. The next prime is 6495214153. The reversal of 6495214140 is 414125946.

6495214140 is a `hidden beast` number, since 6 + 495 + 21 + 4 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6495214095 and 6495214104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058250 + ... + 1064369.

It is an arithmetic number, because the mean of its divisors is an integer number (289737630).

Almost surely, 26495214140 is an apocalyptic number.

6495214140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6495214140 is an abundant number, since it is smaller than the sum of its proper divisors (14365895220).

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

6495214140 is a wasteful number, since it uses less digits than its factorization.

6495214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122651 (or 2122646 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6495214140 is about 80592.8913738675. The cubic root of 6495214140 is about 1865.7974332343.

The spelling of 6495214140 in words is "six billion, four hundred ninety-five million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 2122619 4245238 6367857 8490476 10613095 12735714 19103571 21226190 25471428 31839285 36084523 38207142 42452380 63678570 72169046 76414284 95517855 108253569 127357140 144338092 180422615 191035710 216507138 324760707 360845230 382071420 433014276 541267845 649521414 721690460 1082535690 1299042828 1623803535 2165071380 3247607070 6495214140