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3648898314 = 233537117957
BaseRepresentation
bin1101100101111101…
…1100010100001010
3100102022001020111000
43121133130110022
524433104221224
61402024315430
7156265060335
oct33137342412
910368036430
103648898314
111602787346
1285a012b76
13461c70c39
1426887b61c
151655200c9
hexd97dc50a

3648898314 has 64 divisors (see below), whose sum is σ = 8378484480. Its totient is φ = 1176477120.

The previous prime is 3648898283. The next prime is 3648898403. The reversal of 3648898314 is 4138988463.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194224 + ... + 212180.

It is an arithmetic number, because the mean of its divisors is an integer number (130913820).

Almost surely, 23648898314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3648898314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189242240).

3648898314 is an abundant number, since it is smaller than the sum of its proper divisors (4729586166).

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

3648898314 is a wasteful number, since it uses less digits than its factorization.

3648898314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18092 (or 18086 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 3648898314 is about 60406.1115616624. Note that the first 3 decimals coincide. The cubic root of 3648898314 is about 1539.5268004168.

The spelling of 3648898314 in words is "three billion, six hundred forty-eight million, eight hundred ninety-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 71 106 142 159 213 318 426 477 639 954 1278 1431 1917 2862 3763 3834 7526 11289 17957 22578 33867 35914 53871 67734 101601 107742 161613 203202 323226 484839 951721 969678 1274947 1903442 2549894 2855163 3824841 5710326 7649682 8565489 11474523 17130978 22949046 25696467 34423569 51392934 67572191 68847138 135144382 202716573 405433146 608149719 1216299438 1824449157 3648898314