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38540543964 = 22313222783719
BaseRepresentation
bin100011111001001100…
…100000011111011100
310200110221211111012020
4203321030200133130
51112412334401324
625412201340140
72533033134636
oct437114403734
9120427744166
1038540543964
111538815012a
127577197650
1338328b7600
141c1881da56
1510087ea679
hex8f93207dc

38540543964 has 72 divisors (see below), whose sum is σ = 97807731840. Its totient is φ = 11806247232.

The previous prime is 38540543903. The next prime is 38540544011. The reversal of 38540543964 is 46934504583.

38540543964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418497 + ... + 502215.

It is an arithmetic number, because the mean of its divisors is an integer number (1358440720).

Almost surely, 238540543964 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 38540543964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48903865920).

38540543964 is an abundant number, since it is smaller than the sum of its proper divisors (59267187876).

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

38540543964 is a wasteful number, since it uses less digits than its factorization.

38540543964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83979 (or 83964 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 38540543964 in words is "thirty-eight billion, five hundred forty million, five hundred forty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 227 338 454 507 676 681 908 1014 1362 2028 2724 2951 5902 8853 11804 17706 35412 38363 76726 83719 115089 153452 167438 230178 251157 334876 460356 502314 1004628 1088347 2176694 3265041 4353388 6530082 13060164 14148511 19004213 28297022 38008426 42445533 56594044 57012639 76016852 84891066 114025278 169782132 228050556 247054769 494109538 741164307 988219076 1482328614 2964657228 3211711997 6423423994 9635135991 12846847988 19270271982 38540543964