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2669600052 = 2233713812557
BaseRepresentation
bin1001111100011110…
…1101110100110100
320220001022201211000
42133013231310310
520431404200202
61120522443300
7123104140350
oct23707556464
96801281730
102669600052
11114aa13039
12626063530
13337101702
141b479c460
1510957c91c
hex9f1edd34

2669600052 has 96 divisors (see below), whose sum is σ = 7918749440. Its totient is φ = 761892480.

The previous prime is 2669600039. The next prime is 2669600057. The reversal of 2669600052 is 2500069662.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2669600057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042758 + ... + 1045314.

Almost surely, 22669600052 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 2669600052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959374720).

2669600052 is an abundant number, since it is smaller than the sum of its proper divisors (5249149388).

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

2669600052 is a wasteful number, since it uses less digits than its factorization.

2669600052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2669600052 is about 51668.1725242920. The cubic root of 2669600052 is about 1387.2308363196.

The spelling of 2669600052 in words is "two billion, six hundred sixty-nine million, six hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1381 2557 2762 4143 5114 5524 7671 8286 9667 10228 12429 15342 16572 17899 19334 23013 24858 29001 30684 35798 37287 38668 46026 49716 53697 58002 69039 71596 74574 87003 92052 107394 116004 138078 149148 161091 174006 214788 261009 276156 322182 348012 483273 522018 644364 966546 1044036 1933092 3531217 7062434 10593651 14124868 21187302 24718519 31780953 42374604 49437038 63561906 74155557 95342859 98874076 127123812 148311114 190685718 222466671 296622228 381371436 444933342 667400013 889866684 1334800026 2669600052