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1378021644 = 2232413732503
BaseRepresentation
bin101001000100010…
…1111000100001100
310120000222202022200
41102020233010030
510310233143034
6344423441500
746101663546
oct12210570414
93500882280
101378021644
1164794806a
123255b6290
1318c654a2c
14d1030696
1580ea2a99
hex5222f10c

1378021644 has 72 divisors (see below), whose sum is σ = 3579287712. Its totient is φ = 446757120.

The previous prime is 1378021613. The next prime is 1378021651. The reversal of 1378021644 is 4461208731.

1378021644 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 0 + 2 + 1 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1378021599 and 1378021608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549297 + ... + 551799.

Almost surely, 21378021644 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 1378021644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789643856).

1378021644 is an abundant number, since it is smaller than the sum of its proper divisors (2201266068).

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

1378021644 is a wasteful number, since it uses less digits than its factorization.

1378021644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1378021644 is about 37121.7139151737. The cubic root of 1378021644 is about 1112.8040040131.

The spelling of 1378021644 in words is "one billion, three hundred seventy-eight million, twenty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 373 492 738 746 1119 1476 1492 2238 2503 3357 4476 5006 6714 7509 10012 13428 15018 15293 22527 30036 30586 45054 45879 61172 90108 91758 102623 137637 183516 205246 275274 307869 410492 550548 615738 923607 933619 1231476 1847214 1867238 2800857 3694428 3734476 5601714 8402571 11203428 16805142 33610284 38278379 76556758 114835137 153113516 229670274 344505411 459340548 689010822 1378021644