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6640294144 = 281124632
BaseRepresentation
bin1100010111100101…
…01101100100000000
3122010202212220010011
412023302231210000
5102044403403034
63014524314304
7323360366101
oct61362554400
918122786104
106640294144
1128a8300300
1213539a2994
1381a932043
1446dc843a8
1528ce64864
hex18bcad900

6640294144 has 81 divisors (see below), whose sum is σ = 14600695179. Its totient is φ = 3011796480.

The previous prime is 6640294127. The next prime is 6640294151. The reversal of 6640294144 is 4414920466.

The square root of 6640294144 is 81488.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6640294097 and 6640294106.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14341657 + ... + 14342119.

Almost surely, 26640294144 is an apocalyptic number.

6640294144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6640294144 is the 81488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6640294144

6640294144 is an abundant number, since it is smaller than the sum of its proper divisors (7960401035).

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

6640294144 is an frugal number, since it uses more digits than its factorization.

6640294144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The cubic root of 6640294144 is about 1879.5870286512.

The spelling of 6640294144 in words is "six billion, six hundred forty million, two hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 463 484 704 926 968 1408 1852 1936 2816 3704 3872 5093 7408 7744 10186 14816 15488 20372 29632 30976 40744 56023 59264 81488 112046 118528 162976 214369 224092 325952 428738 448184 651904 857476 896368 1303808 1714952 1792736 2358059 3429904 3585472 4716118 6859808 7170944 9432236 13719616 14341888 18864472 25938649 27439232 37728944 51877298 54878464 75457888 103754596 150915776 207509192 301831552 415018384 603663104 830036768 1660073536 3320147072 6640294144