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612768816 = 2432113112479
BaseRepresentation
bin100100100001100…
…001110000110000
31120201000212210100
4210201201300300
52223332100231
6140445432400
721120310002
oct4441416060
91521025710
10612768816
1129498a310
1215126b700
1399c497ca
145b54c372
1538be11e6
hex24861c30

612768816 has 120 divisors (see below), whose sum is σ = 1931304960. Its totient is φ = 179683200.

The previous prime is 612768809. The next prime is 612768823. The reversal of 612768816 is 618867216.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (612768809) and next prime (612768823).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42865 + ... + 55343.

It is an arithmetic number, because the mean of its divisors is an integer number (16094208).

Almost surely, 2612768816 is an apocalyptic number.

612768816 is a gapful number since it is divisible by the number (66) 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 612768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965652480).

612768816 is an abundant number, since it is smaller than the sum of its proper divisors (1318536144).

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

612768816 is a wasteful number, since it uses less digits than its factorization.

612768816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12535 (or 12526 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 612768816 is about 24754.1676491051. The cubic root of 612768816 is about 849.3738484326.

The spelling of 612768816 in words is "six hundred twelve million, seven hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 12479 16368 24552 24958 37437 49104 49916 74874 99832 112311 137269 149748 199664 224622 274538 299496 386849 411807 449244 549076 598992 773698 823614 898488 1098152 1160547 1235421 1547396 1647228 1796976 2196304 2321094 2470842 3094792 3294456 3481641 4255339 4642188 4941684 6189584 6588912 6963282 8510678 9284376 9883368 12766017 13926564 17021356 18568752 19766736 25532034 27853128 34042712 38298051 51064068 55706256 68085424 76596102 102128136 153192204 204256272 306384408 612768816