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313111786132048 = 243110912421466267
BaseRepresentation
bin100011100110001100000010…
…0110010011001001001010000
31112001122012020201210000001111
41013030120010302121021100
5312020010414222211143
63025533322505343104
7122644402643630131
oct10714300462311120
91461565221700044
10313111786132048
1190848a65511812
122b14b1b3797a94
1310593412632ba7
145746996d47c88
15262eb51d0799d
hex11cc604c99250

313111786132048 has 80 divisors (see below), whose sum is σ = 632020977195520. Its totient is φ = 150103334822400.

The previous prime is 313111786132037. The next prime is 313111786132063. The reversal of 313111786132048 is 840231687111313.

It is a super-2 number, since 2×3131117861320482 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313111786131992 and 313111786132010.

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, 671295811 + ... + 671762077.

It is an arithmetic number, because the mean of its divisors is an integer number (7900262214944).

Almost surely, 2313111786132048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313111786132048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316010488597760).

313111786132048 is an abundant number, since it is smaller than the sum of its proper divisors (318909191063472).

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

313111786132048 is a wasteful number, since it uses less digits than its factorization.

313111786132048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478836 (or 478830 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 313111786132048 in words is "three hundred thirteen trillion, one hundred eleven billion, seven hundred eighty-six million, one hundred thirty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 31 62 109 124 218 248 436 496 872 1744 3379 6758 12421 13516 24842 27032 49684 54064 99368 198736 385051 466267 770102 932534 1353889 1540204 1865068 2707778 3080408 3730136 5415556 6160816 7460272 10831112 14454277 21662224 28908554 41970559 50823103 57817108 83941118 101646206 115634216 167882236 203292412 231268432 335764472 406584824 671528944 813169648 1575516193 3151032386 5791502407 6302064772 11583004814 12604129544 23166009628 25208259088 46332019256 92664038512 179536574617 359073149234 631273762363 718146298468 1262547524726 1436292596936 2525095049452 2872585193872 5050190098904 10100380197808 19569486633253 39138973266506 78277946533012 156555893066024 313111786132048