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3207134233472 = 271373163161977
BaseRepresentation
bin101110101010111000000…
…110001100001110000000
3102100121011200212120102212
4232222320012030032000
5410021202330432342
610453200453001252
7450464530122431
oct56527006141600
912317150776385
103207134233472
1110271577350a4
12439692923228
131a357bbc36b0
14b13246b7488
155865919a182
hex2eab818c380

3207134233472 has 128 divisors (see below), whose sum is σ = 7017781078560. Its totient is φ = 1450973233152.

The previous prime is 3207134233469. The next prime is 3207134233477. The reversal of 3207134233472 is 2743324317023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3207134233477) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19718948 + ... + 19880924.

Almost surely, 23207134233472 is an apocalyptic number.

3207134233472 is a gapful number since it is divisible by the number (32) 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 3207134233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508890539280).

3207134233472 is an abundant number, since it is smaller than the sum of its proper divisors (3810646845088).

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

3207134233472 is a wasteful number, since it uses less digits than its factorization.

3207134233472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162240 (or 162228 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 41.

The spelling of 3207134233472 in words is "three trillion, two hundred seven billion, one hundred thirty-four million, two hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 163 208 292 326 416 584 652 832 949 1168 1304 1664 1898 2119 2336 2608 3796 4238 4672 5216 7592 8476 9344 10432 11899 15184 16952 20864 23798 30368 33904 47596 60736 67808 95192 121472 135616 154687 161977 190384 271232 309374 323954 380768 618748 647908 761536 1237496 1295816 1523072 2105701 2474992 2591632 4211402 4949984 5183264 8422804 9899968 10366528 11824321 16845608 19799936 20733056 23648642 26402251 33691216 47297284 52804502 67382432 94594568 105609004 134764864 153716173 189189136 211218008 269529728 307432346 343229263 378378272 422436016 614864692 686458526 756756544 844872032 1229729384 1372917052 1513513088 1689744064 1927364323 2459458768 2745834104 3379488128 3854728646 4918917536 5491668208 7709457292 9837835072 10983336416 15418914584 19675670144 21966672832 25055736199 30837829168 43933345664 50111472398 61675658336 100222944796 123351316672 200445889592 246702633344 400891779184 801783558368 1603567116736 3207134233472