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3437107666772 = 22132263138113999
BaseRepresentation
bin110010000001000011100…
…101001101111101010100
3110011120202221110102122112
4302001003211031331110
5422303144030314042
611150552505450152
7503215506056363
oct62010345157524
913146687412575
103437107666772
11110573a74437a
124761744a0958
131bc16bc35600
14bc4dd4897da
155e618c4b982
hex3204394df54

3437107666772 has 72 divisors (see below), whose sum is σ = 6543184032000. Its totient is φ = 1579068466560.

The previous prime is 3437107666771. The next prime is 3437107666799. The reversal of 3437107666772 is 2776667017343.

It is a super-2 number, since 2×34371076667722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3437107666771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245518229 + ... + 245532227.

It is an arithmetic number, because the mean of its divisors is an integer number (90877556000).

Almost surely, 23437107666772 is an apocalyptic number.

It is an amenable number.

3437107666772 is a deficient number, since it is larger than the sum of its proper divisors (3106076365228).

3437107666772 is a wasteful number, since it uses less digits than its factorization.

3437107666772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15673 (or 15658 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 59.

The spelling of 3437107666772 in words is "three trillion, four hundred thirty-seven billion, one hundred seven million, six hundred sixty-six thousand, seven hundred seventy-two".

Divisors: 1 2 4 13 26 52 169 263 338 526 676 1052 1381 2762 3419 5524 6838 13676 13999 17953 27998 35906 44447 55996 71812 88894 177788 181987 233389 363203 363974 466778 726406 727948 933556 1452812 2365831 3681737 4721639 4731662 7363474 9443278 9463324 14726948 18886556 19332619 38665238 47862581 61381307 77330476 95725162 122762614 191450324 245525228 251324047 502648094 622213553 1005296188 1244427106 2488854212 3267212611 5084478797 6534425222 10168957594 13068850444 20337915188 66098224361 132196448722 264392897444 859276916693 1718553833386 3437107666772