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6312426984 = 2333291007731
BaseRepresentation
bin1011110000011111…
…11111110111101000
3121021220221111221000
411320033333313220
5100411440130414
62522213115000
7312266513133
oct57017776750
917256844830
106312426984
11274a222906
121282028a60
13797a27cc6
1443c4d921a
1526e29db09
hex1783ffde8

6312426984 has 64 divisors (see below), whose sum is σ = 18139176000. Its totient is φ = 2031583680.

The previous prime is 6312426983. The next prime is 6312427003. The reversal of 6312426984 is 4896242136.

6312426984 is a `hidden beast` number, since 631 + 2 + 4 + 2 + 6 + 9 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6312426983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497602 + ... + 510129.

It is an arithmetic number, because the mean of its divisors is an integer number (283424625).

Almost surely, 26312426984 is an apocalyptic number.

It is an amenable number.

6312426984 is an abundant number, since it is smaller than the sum of its proper divisors (11826749016).

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

6312426984 is a wasteful number, since it uses less digits than its factorization.

6312426984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007775 (or 1007765 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 6312426984 is about 79450.7834070879. The cubic root of 6312426984 is about 1848.1283221738.

The spelling of 6312426984 in words is "six billion, three hundred twelve million, four hundred twenty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 1007731 2015462 3023193 4030924 6046386 8061848 9069579 12092772 18139158 24185544 27208737 29224199 36278316 54417474 58448398 72556632 87672597 108834948 116896796 175345194 217669896 233793592 263017791 350690388 526035582 701380776 789053373 1052071164 1578106746 2104142328 3156213492 6312426984