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2926163968 = 21172132243
BaseRepresentation
bin1010111001101001…
…1011100000000000
321112221002112100021
42232122123200000
521443044221333
61202205503224
7132340661200
oct25632334000
97487075307
102926163968
11127181a332
12697b71b14
13378301990
141da8a6400
15121d5b82d
hexae69b800

2926163968 has 144 divisors (see below), whose sum is σ = 7332965640. Its totient is φ = 1157087232.

The previous prime is 2926163953. The next prime is 2926164001. The reversal of 2926163968 is 8693616292.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303455 + ... + 1305697.

Almost surely, 22926163968 is an apocalyptic number.

2926163968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2926163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666482820).

2926163968 is an abundant number, since it is smaller than the sum of its proper divisors (4406801672).

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

2926163968 is a wasteful number, since it uses less digits than its factorization.

2926163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2265 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 52.

The square root of 2926163968 is about 54094.0289495985. The cubic root of 2926163968 is about 1430.3189286531.

The spelling of 2926163968 in words is "two billion, nine hundred twenty-six million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1024 1274 1456 1568 1664 1792 2048 2243 2548 2912 3136 3328 3584 4486 5096 5824 6272 6656 7168 8972 10192 11648 12544 13312 14336 15701 17944 20384 23296 25088 26624 29159 31402 35888 40768 46592 50176 58318 62804 71776 81536 93184 100352 109907 116636 125608 143552 163072 186368 204113 219814 233272 251216 287104 326144 408226 439628 466544 502432 574208 652288 816452 879256 933088 1004864 1148416 1304576 1428791 1632904 1758512 1866176 2009728 2296832 2857582 3265808 3517024 3732352 4019456 4593664 5715164 6531616 7034048 7464704 8038912 11430328 13063232 14068096 14929408 16077824 22860656 26126464 28136192 29858816 32155648 45721312 52252928 56272384 59717632 91442624 104505856 112544768 182885248 209011712 225089536 365770496 418023424 731540992 1463081984 2926163968