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34950568941 = 3241537324481
BaseRepresentation
bin100000100011001101…
…110101101111101101
310100012202122212021100
4200203031311233231
51033034321201231
624020035553313
72345051635311
oct404315655755
9110182585240
1034950568941
1113905759822
126934a5b839
1333acc07532
141997b1db41
15d985691e6
hex823375bed

34950568941 has 48 divisors (see below), whose sum is σ = 53415219312. Its totient is φ = 21996748800.

The previous prime is 34950568931. The next prime is 34950568963. The reversal of 34950568941 is 14986505943.

34950568941 is a `hidden beast` number, since 3 + 49 + 505 + 6 + 8 + 94 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7358036841 + 27592532100 = 85779^2 + 166110^2 .

It is not a de Polignac number, because 34950568941 - 25 = 34950568909 is a prime.

It is a super-2 number, since 2×349505689412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34950568931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415421 + ... + 1439901.

It is an arithmetic number, because the mean of its divisors is an integer number (1112817069).

Almost surely, 234950568941 is an apocalyptic number.

It is an amenable number.

34950568941 is a deficient number, since it is larger than the sum of its proper divisors (18464650371).

34950568941 is a wasteful number, since it uses less digits than its factorization.

34950568941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24654 (or 24651 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 34950568941 in words is "thirty-four billion, nine hundred fifty million, five hundred sixty-eight thousand, nine hundred forty-one".

Divisors: 1 3 9 41 53 73 123 159 219 369 477 657 2173 2993 3869 6519 8979 11607 19557 24481 26937 34821 73443 158629 220329 475887 1003721 1297493 1427661 1787113 3011163 3892479 5361339 9033489 11677437 16084017 53197213 73271633 94716989 159591639 219814899 284150967 478774917 659444697 852452901 3883396549 11650189647 34950568941