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53946029680 = 24519291378933
BaseRepresentation
bin110010001111011011…
…110001011001110000
312011020120222020201021
4302033123301121300
51340440140422210
640441002345224
73616555454314
oct621733613160
9164216866637
1053946029680
1120973144604
12a5564bb214
135119445b2a
14287a835b44
15160b008bda
hexc8f6f1670

53946029680 has 160 divisors (see below), whose sum is σ = 137590747200. Its totient is φ = 19591520256.

The previous prime is 53946029663. The next prime is 53946029747. The reversal of 53946029680 is 8692064935.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6034494 + ... + 6043426.

It is an arithmetic number, because the mean of its divisors is an integer number (859942170).

Almost surely, 253946029680 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 53946029680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68795373600).

53946029680 is an abundant number, since it is smaller than the sum of its proper divisors (83644717520).

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

53946029680 is a wasteful number, since it uses less digits than its factorization.

53946029680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 53946029680 in words is "fifty-three billion, nine hundred forty-six million, twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 137 145 152 190 232 274 290 304 380 464 548 551 580 685 760 1096 1102 1160 1370 1520 2192 2204 2320 2603 2740 2755 3973 4408 5206 5480 5510 7946 8816 8933 10412 10960 11020 13015 15892 17866 19865 20824 22040 26030 31784 35732 39730 41648 44080 44665 52060 63568 71464 75487 79460 89330 104120 142928 150974 158920 169727 178660 208240 259057 301948 317840 339454 357320 377435 518114 603896 678908 714640 754870 848635 1036228 1207792 1223821 1295285 1357816 1509740 1697270 2072456 2447642 2590570 2715632 3019480 3394540 4144912 4895284 4922083 5181140 6038960 6119105 6789080 9790568 9844166 10362280 12238210 13578160 19581136 19688332 20724560 23252599 24476420 24610415 35490809 39376664 46505198 48952840 49220830 70981618 78753328 93010396 97905680 98441660 116262995 141963236 177454045 186020792 196883320 232525990 283926472 354908090 372041584 393766640 465051980 567852944 674325371 709816180 930103960 1348650742 1419632360 1860207920 2697301484 2839264720 3371626855 5394602968 6743253710 10789205936 13486507420 26973014840 53946029680