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3538366644 = 22323591971103
BaseRepresentation
bin1101001011100111…
…0011000010110100
3100010121001122112110
43102321303002310
524221310213034
61343035251020
7153453422511
oct32271630264
910117048473
103538366644
11155635225a
12828ba9a70
134450b0897
14257d08308
1515a989de9
hexd2e730b4

3538366644 has 96 divisors (see below), whose sum is σ = 8813629440. Its totient is φ = 1102423168.

The previous prime is 3538366631. The next prime is 3538366649. The reversal of 3538366644 is 4466638353.

3538366644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) 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 = 3538366593 and 3538366602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3538366649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3207397 + ... + 3208499.

It is an arithmetic number, because the mean of its divisors is an integer number (91808640).

Almost surely, 23538366644 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 3538366644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406814720).

3538366644 is an abundant number, since it is smaller than the sum of its proper divisors (5275262796).

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

3538366644 is a wasteful number, since it uses less digits than its factorization.

3538366644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1387 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 48.

The square root of 3538366644 is about 59484.1713735679. The cubic root of 3538366644 is about 1523.8221336085.

The spelling of 3538366644 in words is "three billion, five hundred thirty-eight million, three hundred sixty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 197 236 276 354 394 591 708 788 1103 1182 1357 2206 2364 2714 3309 4071 4412 4531 5428 6618 8142 9062 11623 13236 13593 16284 18124 23246 25369 27186 34869 46492 50738 54372 65077 69738 76107 101476 130154 139476 152214 195231 217291 260308 267329 304428 390462 434582 534658 651873 780924 801987 869164 1069316 1303746 1496771 1603974 2607492 2993542 3207948 4490313 4997693 5987084 8980626 9995386 12820169 14993079 17961252 19990772 25640338 29986158 38460507 51280676 59972316 76921014 153842028 294863887 589727774 884591661 1179455548 1769183322 3538366644