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6427132980 = 22355310120011
BaseRepresentation
bin1011111110001011…
…00100010000110100
3121120220210011222020
411333011210100310
5101130321223410
62541431433140
7315161505012
oct57705442064
917526704866
106427132980
1127a8a49154
1212b45257b0
137b571a388
1444d8378b2
152793aaa70
hex17f164434

6427132980 has 96 divisors (see below), whose sum is σ = 18517984128. Its totient is φ = 1664832000.

The previous prime is 6427132969. The next prime is 6427132997. The reversal of 6427132980 is 892317246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311175 + ... + 331185.

It is an arithmetic number, because the mean of its divisors is an integer number (192895668).

Almost surely, 26427132980 is an apocalyptic number.

6427132980 is a gapful number since it is divisible by the number (60) 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 6427132980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9258992064).

6427132980 is an abundant number, since it is smaller than the sum of its proper divisors (12090851148).

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

6427132980 is a wasteful number, since it uses less digits than its factorization.

6427132980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20177 (or 20175 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6427132980 is about 80169.4017690041. The cubic root of 6427132980 is about 1859.2555871828.

The spelling of 6427132980 in words is "six billion, four hundred twenty-seven million, one hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 101 106 159 202 212 265 303 318 404 505 530 606 636 795 1010 1060 1212 1515 1590 2020 3030 3180 5353 6060 10706 16059 20011 21412 26765 32118 40022 53530 60033 64236 80044 80295 100055 107060 120066 160590 200110 240132 300165 321180 400220 600330 1060583 1200660 2021111 2121166 3181749 4042222 4242332 5302915 6063333 6363498 8084444 10105555 10605830 12126666 12726996 15908745 20211110 21211660 24253332 30316665 31817490 40422220 60633330 63634980 107118883 121266660 214237766 321356649 428475532 535594415 642713298 1071188830 1285426596 1606783245 2142377660 3213566490 6427132980