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35628613452 = 22334124432
BaseRepresentation
bin100001001011101000…
…010111111101001100
310101222000112002111000
4201023220113331030
51040431411112302
624211220500300
72400624134415
oct411350277514
9111860462430
1035628613452
1114123472693
126aa3b4a690
13348a52a3c3
141a1dbc080c
15dd7d5131c
hex84ba17f4c

35628613452 has 108 divisors (see below), whose sum is σ = 94892570920. Its totient is φ = 11560386240.

The previous prime is 35628613403. The next prime is 35628613457. The reversal of 35628613452 is 25431682653.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

35628613452 is a `hidden beast` number, since 3 + 5 + 6 + 28 + 613 + 4 + 5 + 2 = 666.

35628613452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 35628613398 and 35628613407.

It is not an unprimeable number, because it can be changed into a prime (35628613457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80425543 + ... + 80425985.

Almost surely, 235628613452 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 35628613452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47446285460).

35628613452 is an abundant number, since it is smaller than the sum of its proper divisors (59263957468).

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

35628613452 is an equidigital number, since it uses as much as digits as its factorization.

35628613452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 489 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 35628613452 in words is "thirty-five billion, six hundred twenty-eight million, six hundred thirteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 443 492 738 886 1107 1329 1476 1681 1772 2214 2658 3362 3987 4428 5043 5316 6724 7974 10086 11961 15129 15948 18163 20172 23922 30258 36326 45387 47844 54489 60516 72652 90774 108978 163467 181548 196249 217956 326934 392498 490401 588747 653868 744683 784996 980802 1177494 1489366 1766241 1961604 2234049 2354988 2978732 3532482 4468098 5298723 6702147 7064964 8046209 8936196 10597446 13404294 16092418 20106441 21194892 24138627 26808588 32184836 40212882 48277254 72415881 80425764 96554508 144831762 217247643 289663524 329894569 434495286 659789138 868990572 989683707 1319578276 1979367414 2969051121 3958734828 5938102242 8907153363 11876204484 17814306726 35628613452