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84835496704 = 287431139743
BaseRepresentation
bin100111100000010010…
…1101111001100000000
322002222022221202110111
41033000211233030000
52342220341343304
6102550051041104
76062205552430
oct1170045571400
9262868852414
1084835496704
1132a84476352
12145372a0194
137cccb8727a
14416b0582c0
152317c7d704
hex13c096f300

84835496704 has 144 divisors (see below), whose sum is σ = 199804695552. Its totient is φ = 35194650624.

The previous prime is 84835496701. The next prime is 84835496749. The reversal of 84835496704 is 40769453848.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (84835496701) 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, 8702457 + ... + 8712199.

It is an arithmetic number, because the mean of its divisors is an integer number (1387532608).

Almost surely, 284835496704 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 84835496704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99902347776).

84835496704 is an abundant number, since it is smaller than the sum of its proper divisors (114969198848).

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

84835496704 is a wasteful number, since it uses less digits than its factorization.

84835496704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9922 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 84835496704 in words is "eighty-four billion, eight hundred thirty-five million, four hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 113 128 172 224 226 256 301 344 448 452 602 688 791 896 904 1204 1376 1582 1792 1808 2408 2752 3164 3616 4816 4859 5504 6328 7232 9632 9718 9743 11008 12656 14464 19264 19436 19486 25312 28928 34013 38528 38872 38972 50624 68026 68201 77056 77744 77944 101248 136052 136402 155488 155888 202496 272104 272804 310976 311776 418949 544208 545608 621952 623552 837898 1088416 1091216 1100959 1243904 1247104 1675796 2176832 2182432 2201918 2494208 2932643 3351592 4353664 4364864 4403836 5865286 6703184 7706713 8707328 8729728 8807672 11730572 13406368 15413426 17459456 17615344 23461144 26812736 30826852 35230688 46922288 47341237 53625472 61653704 70461376 93844576 94682474 107250944 123307408 140922752 187689152 189364948 246614816 281845504 331388659 375378304 378729896 493229632 662777318 750756608 757459792 986459264 1325554636 1514919584 1972918528 2651109272 3029839168 5302218544 6059678336 10604437088 12119356672 21208874176 42417748352 84835496704