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51938303360 = 2754312831471
BaseRepresentation
bin110000010111110000…
…111001110110000000
311222001200002011222012
4300113300321312000
51322332201201420
635505442032052
73516036202646
oct602760716600
9158050064865
1051938303360
1120032900059
12a096048628
134b894c4aa8
142729d29196
15153eb1bdc5
hexc17c39d80

51938303360 has 128 divisors (see below), whose sum is σ = 127238031360. Its totient is φ = 20262574080.

The previous prime is 51938303359. The next prime is 51938303363. The reversal of 51938303360 is 6330383915.

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

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51938303363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35307425 + ... + 35308895.

It is an arithmetic number, because the mean of its divisors is an integer number (994047120).

Almost surely, 251938303360 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 51938303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63619015680).

51938303360 is an abundant number, since it is smaller than the sum of its proper divisors (75299728000).

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

51938303360 is a wasteful number, since it uses less digits than its factorization.

51938303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The spelling of 51938303360 in words is "fifty-one billion, nine hundred thirty-eight million, three hundred three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 320 344 430 640 688 860 1283 1376 1471 1720 2566 2752 2942 3440 5132 5504 5884 6415 6880 7355 10264 11768 12830 13760 14710 20528 23536 25660 27520 29420 41056 47072 51320 55169 58840 63253 82112 94144 102640 110338 117680 126506 164224 188288 205280 220676 235360 253012 275845 316265 410560 441352 470720 506024 551690 632530 821120 882704 941440 1012048 1103380 1265060 1765408 1887293 2024096 2206760 2530120 3530816 3774586 4048192 4413520 5060240 7061632 7549172 8096384 8827040 9436465 10120480 15098344 17654080 18872930 20240960 30196688 35308160 37745860 40481920 60393376 75491720 81153599 120786752 150983440 162307198 241573504 301966880 324614396 405767995 603933760 649228792 811535990 1207867520 1298457584 1623071980 2596915168 3246143960 5193830336 6492287920 10387660672 12984575840 25969151680 51938303360