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3472252000672 = 257213170342033
BaseRepresentation
bin110010100001110010010…
…110001101100110100000
3110021221111012201120110211
4302201302112031212200
5423342133003010142
611215044110503504
7505601433013300
oct62416226154640
913257435646424
103472252000672
111119634807624
12480b42204b94
131c2580023160
14c00b4c07600
15604c42dc917
hex3287258d9a0

3472252000672 has 72 divisors (see below), whose sum is σ = 8563775417316. Its totient is φ = 1373638146048.

The previous prime is 3472252000663. The next prime is 3472252000673. The reversal of 3472252000672 is 2760002522743.

It can be written as a sum of positive squares in 2 ways, for example, as 2910285873936 + 561966126736 = 1705956^2 + 749644^2 .

It is not an unprimeable number, because it can be changed into a prime (3472252000673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85150633 + ... + 85191400.

Almost surely, 23472252000672 is an apocalyptic number.

3472252000672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3472252000672 is an abundant number, since it is smaller than the sum of its proper divisors (5091523416644).

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

3472252000672 is a wasteful number, since it uses less digits than its factorization.

3472252000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170342070 (or 170342055 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The spelling of 3472252000672 in words is "three trillion, four hundred seventy-two billion, two hundred fifty-two million, six hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 20384 170342033 340684066 681368132 1192394231 1362736264 2214446429 2384788462 2725472528 4428892858 4769576924 5450945056 8346759617 8857785716 9539153848 15501125003 16693519234 17715571432 19078307696 31002250006 33387038468 35431142864 38156615392 62004500012 66774076936 70862285728 108507875021 124009000024 133548153872 217015750042 248018000048 267096307744 434031500084 496036000096 868063000168 1736126000336 3472252000672