Search a number
-
+
2808070996128 = 253167433404513
BaseRepresentation
bin101000110111001110000…
…100110000000010100000
3100221110010021222200020020
4220313032010300002200
5332001412133334003
65550002054513440
7406606421433036
oct50671604600240
910843107880206
102808070996128
11992994964412
12394281365880
13174a52680ba8
1499ca8ac0556
154d09eb40d53
hex28dce1300a0

2808070996128 has 96 divisors (see below), whose sum is σ = 7432469041536. Its totient is φ = 928267665408.

The previous prime is 2808070996109. The next prime is 2808070996147. The reversal of 2808070996128 is 8216990708082.

It is an interprime number because it is at equal distance from previous prime (2808070996109) and next prime (2808070996147).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6739600 + ... + 7144112.

It is an arithmetic number, because the mean of its divisors is an integer number (77421552516).

Almost surely, 22808070996128 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 2808070996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716234520768).

2808070996128 is an abundant number, since it is smaller than the sum of its proper divisors (4624398045408).

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

2808070996128 is a wasteful number, since it uses less digits than its factorization.

2808070996128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405126 (or 405118 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 2808070996128 in words is "two trillion, eight hundred eight billion, seventy million, nine hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 433 501 668 866 1002 1299 1336 1732 2004 2598 2672 3464 4008 5196 5344 6928 8016 10392 13856 16032 20784 41568 72311 144622 216933 289244 404513 433866 578488 809026 867732 1156976 1213539 1618052 1735464 2313952 2427078 3236104 3470928 4854156 6472208 6941856 9708312 12944416 19416624 38833248 67553671 135107342 175154129 202661013 270214684 350308258 405322026 525462387 540429368 700616516 810644052 1050924774 1080858736 1401233032 1621288104 2101849548 2161717472 2802466064 3242576208 4203699096 5604932128 6485152416 8407398192 16814796384 29250739543 58501479086 87752218629 117002958172 175504437258 234005916344 351008874516 468011832688 702017749032 936023665376 1404035498064 2808070996128