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2900502816 = 253371934231
BaseRepresentation
bin1010110011100010…
…0010100100100000
321111010210210212020
42230320202210200
521420012042231
61155451501440
7131606603301
oct25470424440
97433723766
102900502816
111259292772
1268b457880
13372bb8873
141d73067a8
1511e98d396
hexace22920

2900502816 has 96 divisors (see below), whose sum is σ = 7861972608. Its totient is φ = 935608320.

The previous prime is 2900502701. The next prime is 2900502841. The reversal of 2900502816 is 6182050092.

2900502816 = T224 + T225 + ... + T2591.

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, 683421 + ... + 687651.

It is an arithmetic number, because the mean of its divisors is an integer number (81895548).

Almost surely, 22900502816 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 2900502816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930986304).

2900502816 is an abundant number, since it is smaller than the sum of its proper divisors (4961469792).

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

2900502816 is a wasteful number, since it uses less digits than its factorization.

2900502816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2900502816 is about 53856.3163983576. The cubic root of 2900502816 is about 1426.1255604613.

The spelling of 2900502816 in words is "two billion, nine hundred million, five hundred two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 193 222 296 386 444 579 592 772 888 1158 1184 1544 1776 2316 3088 3552 4231 4632 6176 7141 8462 9264 12693 14282 16924 18528 21423 25386 28564 33848 42846 50772 57128 67696 85692 101544 114256 135392 156547 171384 203088 228512 313094 342768 406176 469641 626188 685536 816583 939282 1252376 1633166 1878564 2449749 2504752 3266332 3757128 4899498 5009504 6532664 7514256 9798996 13065328 15028512 19597992 26130656 30213571 39195984 60427142 78391968 90640713 120854284 181281426 241708568 362562852 483417136 725125704 966834272 1450251408 2900502816