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52768530816 = 273373601613
BaseRepresentation
bin110001001001001111…
…111110000110000000
312001012112022002221020
4301021033332012000
51331032220441231
640124100425440
73545440053111
oct611117760600
9161175262836
1052768530816
1120419507251
12a2880a8280
134c8c4cc341
1427a82c2208
15158c965396
hexc493fe180

52768530816 has 128 divisors (see below), whose sum is σ = 141005689440. Its totient is φ = 17484595200.

The previous prime is 52768530797. The next prime is 52768530847. The reversal of 52768530816 is 61803586725.

It is a happy number.

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

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, 86082126 + ... + 86082738.

Almost surely, 252768530816 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 52768530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502844720).

52768530816 is an abundant number, since it is smaller than the sum of its proper divisors (88237158624).

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

52768530816 is a wasteful number, since it uses less digits than its factorization.

52768530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 52768530816 in words is "fifty-two billion, seven hundred sixty-eight million, five hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 373 384 601 613 746 1119 1202 1226 1492 1803 1839 2238 2404 2452 2984 3606 3678 4476 4808 4904 5968 7212 7356 8952 9616 9808 11936 14424 14712 17904 19232 19616 23872 28848 29424 35808 38464 39232 47744 57696 58848 71616 76928 78464 115392 117696 143232 224173 228649 230784 235392 368413 448346 457298 672519 685947 736826 896692 914596 1105239 1345038 1371894 1473652 1793384 1829192 2210478 2690076 2743788 2947304 3586768 3658384 4420956 5380152 5487576 5894608 7173536 7316768 8841912 10760304 10975152 11789216 14347072 14633536 17683824 21520608 21950304 23578432 28694144 29267072 35367648 43041216 43900608 47156864 70735296 86082432 87801216 137418049 141470592 274836098 412254147 549672196 824508294 1099344392 1649016588 2198688784 3298033176 4397377568 6596066352 8794755136 13192132704 17589510272 26384265408 52768530816