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1377488864 = 25291937691
BaseRepresentation
bin101001000011010…
…1100111111100000
310112222222200111002
41102012230333200
510310114120424
6344404211132
746064314343
oct12206547740
93488880432
101377488864
11647613854
12325399aa8
1318c4c938b
14d0d3245a
1580de9cae
hex521acfe0

1377488864 has 48 divisors (see below), whose sum is σ = 2820348720. Its totient is φ = 661463040.

The previous prime is 1377488807. The next prime is 1377488881. The reversal of 1377488864 is 4688847731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175259 + ... + 182949.

It is an arithmetic number, because the mean of its divisors is an integer number (58757265).

Almost surely, 21377488864 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 1377488864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410174360).

1377488864 is an abundant number, since it is smaller than the sum of its proper divisors (1442859856).

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

1377488864 is a wasteful number, since it uses less digits than its factorization.

1377488864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7923 (or 7915 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 56.

The square root of 1377488864 is about 37114.5370980159. The cubic root of 1377488864 is about 1112.6605722694.

The spelling of 1377488864 in words is "one billion, three hundred seventy-seven million, four hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 116 193 232 386 464 772 928 1544 3088 5597 6176 7691 11194 15382 22388 30764 44776 61528 89552 123056 179104 223039 246112 446078 892156 1484363 1784312 2968726 3568624 5937452 7137248 11874904 23749808 43046527 47499616 86093054 172186108 344372216 688744432 1377488864