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6640225344 = 26335417103
BaseRepresentation
bin1100010111100100…
…11100110001000000
3122010202202101202000
412023302130301000
5102044344202334
63014523024000
7323356661364
oct61362346100
918122671660
106640225344
1128a8263645
12135396b000
1381a90992c
1446dc672a4
1528ce4e299
hex18bc9cc40

6640225344 has 112 divisors (see below), whose sum is σ = 19559869440. Its totient is φ = 2209006080.

The previous prime is 6640225337. The next prime is 6640225351. The reversal of 6640225344 is 4435220466.

6640225344 is a `hidden beast` number, since 6 + 640 + 2 + 2 + 5 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6640225337) and next prime (6640225351).

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 = 6640225299 and 6640225308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931297 + ... + 938399.

Almost surely, 26640225344 is an apocalyptic number.

6640225344 is a gapful number since it is divisible by the number (64) 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 6640225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779934720).

6640225344 is an abundant number, since it is smaller than the sum of its proper divisors (12919644096).

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

6640225344 is a wasteful number, since it uses less digits than its factorization.

6640225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7665 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 6640225344 is about 81487.5778508602. The cubic root of 6640225344 is about 1879.5805371700.

The spelling of 6640225344 in words is "six billion, six hundred forty million, two hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 541 576 864 1082 1623 1728 2164 3246 4328 4869 6492 7103 8656 9738 12984 14206 14607 17312 19476 21309 25968 28412 29214 34624 38952 42618 51936 56824 58428 63927 77904 85236 103872 113648 116856 127854 155808 170472 191781 227296 233712 255708 311616 340944 383562 454592 467424 511416 681888 767124 934848 1022832 1363776 1534248 2045664 3068496 3842723 4091328 6136992 7685446 11528169 12273984 15370892 23056338 30741784 34584507 46112676 61483568 69169014 92225352 103753521 122967136 138338028 184450704 207507042 245934272 276676056 368901408 415014084 553352112 737802816 830028168 1106704224 1660056336 2213408448 3320112672 6640225344