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52951000920 = 233517128320231
BaseRepresentation
bin110001010100001000…
…000010011101011000
312001200020122112212020
4301110020002131120
51331420424012140
640154135414440
73553114036656
oct612410023530
9161606575766
1052951000920
1120502506794
12a319224420
134cbb25960c
1427c461ddd6
15159d9aa6d0
hexc54202758

52951000920 has 128 divisors (see below), whose sum is σ = 168336714240. Its totient is φ = 13278648320.

The previous prime is 52951000909. The next prime is 52951000931. The reversal of 52951000920 is 2900015925.

It is an interprime number because it is at equal distance from previous prime (52951000909) and next prime (52951000931).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2607205 + ... + 2627435.

It is an arithmetic number, because the mean of its divisors is an integer number (1315130580).

Almost surely, 252951000920 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 52951000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84168357120).

52951000920 is an abundant number, since it is smaller than the sum of its proper divisors (115385713320).

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

52951000920 is a wasteful number, since it uses less digits than its factorization.

52951000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21545 (or 21541 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The spelling of 52951000920 in words is "fifty-two billion, nine hundred fifty-one million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1283 2040 2566 3849 5132 6415 7698 10264 12830 15396 19245 20231 21811 25660 30792 38490 40462 43622 51320 60693 65433 76980 80924 87244 101155 109055 121386 130866 153960 161848 174488 202310 218110 242772 261732 303465 327165 343927 404620 436220 485544 523464 606930 654330 687854 809240 872440 1031781 1213860 1308660 1375708 1719635 2063562 2427720 2617320 2751416 3439270 4127124 5158905 6878540 8254248 10317810 13757080 20635620 25956373 41271240 51912746 77869119 103825492 129781865 155738238 207650984 259563730 311476476 389345595 441258341 519127460 622952952 778691190 882516682 1038254920 1323775023 1557382380 1765033364 2206291705 2647550046 3114764760 3530066728 4412583410 5295100092 6618875115 8825166820 10590200184 13237750230 17650333640 26475500460 52951000920