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1376933616 = 243243673319
BaseRepresentation
bin101001000010010…
…0101011011110000
310112221221110211100
41102010211123300
510304443333431
6344344244400
746056512502
oct12204453360
93487843740
101376933616
11647274673
12325170700
1318c363726
14d0c29d72
1580d3a4e6
hex521256f0

1376933616 has 120 divisors (see below), whose sum is σ = 4003176320. Its totient is φ = 441479808.

The previous prime is 1376933611. The next prime is 1376933633. The reversal of 1376933616 is 6163396731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376933611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413205 + ... + 416523.

Almost surely, 21376933616 is an apocalyptic number.

1376933616 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 1376933616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001588160).

1376933616 is an abundant number, since it is smaller than the sum of its proper divisors (2626242704).

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

1376933616 is a wasteful number, since it uses less digits than its factorization.

1376933616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3434 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 1376933616 is about 37107.0561483931. The cubic root of 1376933616 is about 1112.5110524677.

The spelling of 1376933616 in words is "one billion, three hundred seventy-six million, nine hundred thirty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 67 72 86 129 134 144 172 201 258 268 344 387 402 516 536 603 688 774 804 1032 1072 1206 1548 1608 2064 2412 2881 3096 3216 3319 4824 5762 6192 6638 8643 9648 9957 11524 13276 17286 19914 23048 25929 26552 29871 34572 39828 46096 51858 53104 59742 69144 79656 103716 119484 138288 142717 159312 207432 222373 238968 285434 414864 428151 444746 477936 570868 667119 856302 889492 1141736 1284453 1334238 1712604 1778984 2001357 2283472 2568906 2668476 3425208 3557968 4002714 5137812 5336952 6850416 8005428 9562039 10275624 10673904 16010856 19124078 20551248 28686117 32021712 38248156 57372234 76496312 86058351 114744468 152992624 172116702 229488936 344233404 458977872 688466808 1376933616