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2999421656 = 2371117436661
BaseRepresentation
bin1011001011000111…
…1000101011011000
321202000221101222222
42302301320223120
522120322443111
61213344003212
7134220443360
oct26261705330
97660841888
102999421656
1112aa105980
126b8600508
1338a54121a
142064d59a0
151284cc7db
hexb2c78ad8

2999421656 has 128 divisors (see below), whose sum is σ = 7597877760. Its totient is φ = 1074124800.

The previous prime is 2999421589. The next prime is 2999421679. The reversal of 2999421656 is 6561249992.

It is a happy number.

2999421656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2999421598 and 2999421607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446966 + ... + 453626.

It is an arithmetic number, because the mean of its divisors is an integer number (59358420).

Almost surely, 22999421656 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 2999421656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798938880).

2999421656 is an abundant number, since it is smaller than the sum of its proper divisors (4598456104).

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

2999421656 is a wasteful number, since it uses less digits than its factorization.

2999421656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6745 (or 6741 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 53.

The square root of 2999421656 is about 54766.9759617965. The cubic root of 2999421656 is about 1442.1568847528.

The spelling of 2999421656 in words is "two billion, nine hundred ninety-nine million, four hundred twenty-one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 43 44 56 68 77 86 88 119 136 154 172 187 238 301 308 344 374 473 476 602 616 731 748 946 952 1204 1309 1462 1496 1892 2408 2618 2924 3311 3784 5117 5236 5848 6622 6661 8041 10234 10472 13244 13322 16082 20468 26488 26644 32164 40936 46627 53288 56287 64328 73271 93254 112574 113237 146542 186508 225148 226474 286423 293084 373016 450296 452948 512897 572846 586168 792659 905896 1025794 1145692 1245607 1585318 2004961 2051588 2291384 2491214 3150653 3170636 4009922 4103176 4869191 4982428 6301306 6341272 8019844 8719249 9738382 9964856 12602612 16039688 17438498 19476764 22054571 25205224 34084337 34876996 38953528 44109142 53561101 68168674 69753992 88218284 107122202 136337348 176436568 214244404 272674696 374927707 428488808 749855414 1499710828 2999421656