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668438415744 = 27311473366973
BaseRepresentation
bin10011011101000100000…
…10001100100110000000
32100220100121210210110220
421232202002030212000
541422430213300434
61231024255023040
766202345533621
oct11564202144600
92326317723426
10668438415744
11238535072270
12a966a80aa80
134b0586cc7b8
14244d1725a48
15125c331bd49
hex9ba208c980

668438415744 has 128 divisors (see below), whose sum is σ = 1978164564480. Its totient is φ = 198247311360.

The previous prime is 668438415737. The next prime is 668438415761. The reversal of 668438415744 is 447514834866.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 1484959 + ... + 1882014.

It is an arithmetic number, because the mean of its divisors is an integer number (15454410660).

Almost surely, 2668438415744 is an apocalyptic number.

668438415744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

668438415744 is an abundant number, since it is smaller than the sum of its proper divisors (1309726148736).

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

668438415744 is a wasteful number, since it uses less digits than its factorization.

668438415744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367048 (or 3367036 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 60.

The spelling of 668438415744 in words is "six hundred sixty-eight billion, four hundred thirty-eight million, four hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 264 282 352 376 384 517 528 564 704 752 1034 1056 1128 1408 1504 1551 2068 2112 2256 3008 3102 4136 4224 4512 6016 6204 8272 9024 12408 16544 18048 24816 33088 49632 66176 99264 198528 3366973 6733946 10100919 13467892 20201838 26935784 37036703 40403676 53871568 74073406 80807352 107743136 111110109 148146812 158247731 161614704 215486272 222220218 296293624 316495462 323229408 430972544 444440436 474743193 592587248 632990924 646458816 888880872 949486386 1185174496 1265981848 1292917632 1740725041 1777761744 1898972772 2370348992 2531963696 3481450082 3555523488 3797945544 4740697984 5063927392 5222175123 6962900164 7111046976 7595891088 10127854784 10444350246 13925800328 14222093952 15191782176 20255709568 20888700492 27851600656 30383564352 41777400984 55703201312 60767128704 83554801968 111406402624 167109603936 222812805248 334219207872 668438415744