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4109149572 = 22311315318947
BaseRepresentation
bin1111010011101100…
…1010010110000100
3101121101002102111220
43310323022112010
531403420241242
61515425200340
7203554123623
oct36473122604
911541072456
104109149572
111819564990
129681900b0
13506419968
142ada476ba
15190b35bec
hexf4eca584

4109149572 has 96 divisors (see below), whose sum is σ = 11001360384. Its totient is φ = 1182230400.

The previous prime is 4109149567. The next prime is 4109149591. The reversal of 4109149572 is 2759419014.

4109149572 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41091495722 = 33770220410135566368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207403 + ... + 226349.

It is an arithmetic number, because the mean of its divisors is an integer number (114597504).

Almost surely, 24109149572 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 4109149572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500680192).

4109149572 is an abundant number, since it is smaller than the sum of its proper divisors (6892210812).

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

4109149572 is a wasteful number, since it uses less digits than its factorization.

4109149572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19049 (or 19047 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 4109149572 is about 64102.6487128262. The cubic root of 4109149572 is about 1601.7103548816.

The spelling of 4109149572 in words is "four billion, one hundred nine million, one hundred forty-nine thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 53 62 66 93 106 124 132 159 186 212 318 341 372 583 636 682 1023 1166 1364 1643 1749 2046 2332 3286 3498 4092 4929 6572 6996 9858 18073 18947 19716 36146 37894 54219 56841 72292 75788 108438 113682 208417 216876 227364 416834 587357 625251 833668 1004191 1174714 1250502 1762071 2008382 2349428 2501004 3012573 3524142 4016764 6025146 6460927 7048284 11046101 12050292 12921854 19382781 22092202 25843708 31129921 33138303 38765562 44184404 62259842 66276606 77531124 93389763 124519684 132553212 186779526 342429131 373559052 684858262 1027287393 1369716524 2054574786 4109149572