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2835139968 = 2734318821
BaseRepresentation
bin1010100011111100…
…1100110110000000
321022120211000220000
42220333030312000
521301243434333
61145154520000
7130154202123
oct25077146600
97276730800
102835139968
1112253a9691
12671596000
133624b191b
141cc7703ba
15118d7b713
hexa8fccd80

2835139968 has 160 divisors (see below), whose sum is σ = 8710489920. Its totient is φ = 914457600.

The previous prime is 2835139939. The next prime is 2835139991. The reversal of 2835139968 is 8699315382.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316998 + ... + 325818.

It is an arithmetic number, because the mean of its divisors is an integer number (54440562).

Almost surely, 22835139968 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 2835139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355244960).

2835139968 is an abundant number, since it is smaller than the sum of its proper divisors (5875349952).

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

2835139968 is an equidigital number, since it uses as much as digits as its factorization.

2835139968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878 (or 8857 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 2835139968 is about 53246.0324155706. The cubic root of 2835139968 is about 1415.3314856408.

The spelling of 2835139968 in words is "two billion, eight hundred thirty-five million, one hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 279 288 324 372 384 432 496 558 576 648 744 837 864 992 1116 1152 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 3456 3968 4464 5022 5184 5952 6696 8821 8928 10044 10368 11904 13392 17642 17856 20088 26463 26784 35284 35712 40176 52926 53568 70568 79389 80352 105852 107136 141136 158778 160704 211704 238167 273451 282272 317556 321408 423408 476334 546902 564544 635112 714501 820353 846816 952668 1093804 1129088 1270224 1429002 1640706 1693632 1905336 2187608 2461059 2540448 2858004 3281412 3387264 3810672 4375216 4922118 5080896 5716008 6562824 7383177 7621344 8750432 9844236 10161792 11432016 13125648 14766354 15242688 17500864 19688472 22149531 22864032 26251296 29532708 30485376 35001728 39376944 44299062 45728064 52502592 59065416 78753888 88598124 91456128 105005184 118130832 157507776 177196248 236261664 315015552 354392496 472523328 708784992 945046656 1417569984 2835139968