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10393839168 = 263178773631
BaseRepresentation
bin10011010111000010…
…10110011001000000
3222211100211201220020
421223201112121000
5132241310323133
64435212013440
7515366114046
oct115341263100
928740751806
1010393839168
114454062229
122020a61280
13c984827bb
147085a2396
1540c7560b3
hex26b856640

10393839168 has 112 divisors (see below), whose sum is σ = 29159265024. Its totient is φ = 3256197120.

The previous prime is 10393839167. The next prime is 10393839187. The reversal of 10393839168 is 86193839301.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 10393839168.

It is not an unprimeable number, because it can be changed into a prime (10393839167) 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, 2860713 + ... + 2864343.

Almost surely, 210393839168 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 10393839168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14579632512).

10393839168 is an abundant number, since it is smaller than the sum of its proper divisors (18765425856).

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

10393839168 is a wasteful number, since it uses less digits than its factorization.

10393839168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 10393839168 in words is "ten billion, three hundred ninety-three million, eight hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 877 1088 1632 1754 2631 3264 3508 3631 5262 7016 7262 10524 10893 14032 14524 14909 21048 21786 28064 29048 29818 42096 43572 44727 56128 58096 59636 61727 84192 87144 89454 116192 119272 123454 168384 174288 178908 185181 232384 238544 246908 348576 357816 370362 477088 493816 697152 715632 740724 954176 987632 1431264 1481448 1975264 2862528 2962896 3184387 3950528 5925792 6368774 9553161 11851584 12737548 19106322 25475096 38212644 50950192 54134579 76425288 101900384 108269158 152850576 162403737 203800768 216538316 305701152 324807474 433076632 611402304 649614948 866153264 1299229896 1732306528 2598459792 3464613056 5196919584 10393839168