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3316193504 = 2513311371877
BaseRepresentation
bin1100010110101001…
…0001100011100000
322120010000002021122
43011222101203200
523242421143004
61305021311412
7145115115431
oct30552214340
98503002248
103316193504
1114519a5298
12786705568
1340b061ca0
142365d3488
15146200cbe
hexc5a918e0

3316193504 has 96 divisors (see below), whose sum is σ = 7314644736. Its totient is φ = 1469583360.

The previous prime is 3316193501. The next prime is 3316193513. The reversal of 3316193504 is 4053916133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3316193501) 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 15 ways as a sum of consecutive naturals, for example, 1765814 + ... + 1767690.

It is an arithmetic number, because the mean of its divisors is an integer number (76194216).

Almost surely, 23316193504 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 3316193504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657322368).

3316193504 is an abundant number, since it is smaller than the sum of its proper divisors (3998451232).

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

3316193504 is a wasteful number, since it uses less digits than its factorization.

3316193504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 3316193504 is about 57586.4003389689. The cubic root of 3316193504 is about 1491.2368307920.

The spelling of 3316193504 in words is "three billion, three hundred sixteen million, one hundred ninety-three thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 137 208 248 274 403 416 496 548 806 992 1096 1612 1781 1877 2192 3224 3562 3754 4247 4384 6448 7124 7508 8494 12896 14248 15016 16988 24401 28496 30032 33976 48802 55211 56992 58187 60064 67952 97604 110422 116374 135904 195208 220844 232748 257149 390416 441688 465496 514298 756431 780832 883376 930992 1028596 1512862 1766752 1861984 2057192 3025724 3342937 4114384 6051448 6685874 7971619 8228768 12102896 13371748 15943238 24205792 26743496 31886476 53486992 63772952 103631047 106973984 127545904 207262094 255091808 414524188 829048376 1658096752 3316193504