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1377660416 = 29111714389
BaseRepresentation
bin101001000011101…
…0110111000000000
310120000022101210212
41102013112320000
510310140113131
6344412013252
746065630446
oct12207267000
93500271725
101377660416
11647720730
12325461228
1318c5594a2
14d0d78b96
1580e30a2b
hex521d6e00

1377660416 has 80 divisors (see below), whose sum is σ = 3179729520. Its totient is φ = 589332480.

The previous prime is 1377660413. The next prime is 1377660419. The reversal of 1377660416 is 6140667731.

It is an interprime number because it is at equal distance from previous prime (1377660413) and next prime (1377660419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377660413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88550 + ... + 102938.

It is an arithmetic number, because the mean of its divisors is an integer number (39746619).

Almost surely, 21377660416 is an apocalyptic number.

1377660416 is a gapful number since it is divisible by the number (16) 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 1377660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589864760).

1377660416 is an abundant number, since it is smaller than the sum of its proper divisors (1802069104).

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

1377660416 is a wasteful number, since it uses less digits than its factorization.

1377660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14435 (or 14419 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 1377660416 is about 37116.8481420500. The cubic root of 1377660416 is about 1112.7067604766.

The spelling of 1377660416 in words is "one billion, three hundred seventy-seven million, six hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 704 748 1088 1408 1496 2176 2816 2992 4352 5632 5984 8704 11968 14389 23936 28778 47872 57556 95744 115112 158279 230224 244613 316558 460448 489226 633116 920896 978452 1266232 1841792 1956904 2532464 2690743 3683584 3913808 5064928 5381486 7367168 7827616 10129856 10762972 15655232 20259712 21525944 31310464 40519424 43051888 62620928 81038848 86103776 125241856 172207552 344415104 688830208 1377660416