Search a number
-
+
35130030052 = 22131761651473
BaseRepresentation
bin100000101101111010…
…011011011111100100
310100200021100102122011
4200231322123133210
51033421241430202
624045530244004
72352361220455
oct405572333744
9110607312564
1035130030052
1113997a93597
126984b86604
13340b150040
1419b38b712c
15da91b7bd7
hex82de9b7e4

35130030052 has 48 divisors (see below), whose sum is σ = 71250408432. Its totient is φ = 15009914880.

The previous prime is 35130030043. The next prime is 35130030079. The reversal of 35130030052 is 25003003153.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13771961316 + 21358068736 = 117354^2 + 146144^2 .

It is a super-2 number, since 2×351300300522 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271813 + ... + 379660.

It is an arithmetic number, because the mean of its divisors is an integer number (1484383509).

Almost surely, 235130030052 is an apocalyptic number.

It is an amenable number.

35130030052 is an abundant number, since it is smaller than the sum of its proper divisors (36120378380).

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

35130030052 is a wasteful number, since it uses less digits than its factorization.

35130030052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651568 (or 651566 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The spelling of 35130030052 in words is "thirty-five billion, one hundred thirty million, thirty thousand, fifty-two".

Divisors: 1 2 4 13 17 26 34 52 61 68 122 221 244 442 793 884 1037 1586 2074 3172 4148 13481 26962 53924 651473 1302946 2605892 8469149 11075041 16938298 22150082 33876596 39739853 44300164 79479706 143975533 158959412 287951066 516618089 575902132 675577501 1033236178 1351155002 2066472356 2702310004 8782507513 17565015026 35130030052