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35054698441 = 7438212
BaseRepresentation
bin100000101001011011…
…000011111111001001
310100111000121012002111
4200221123003333021
51033243000322231
624034235502321
72350455010000
oct405133037711
9110430535074
1035054698441
1113959510864
1269638b79a1
1333c8665819
1419a78a7c37
15da27874b1
hex8296c3fc9

35054698441 has 15 divisors (see below), whose sum is σ = 40905420263. Its totient is φ = 30039020760.

The previous prime is 35054698391. The next prime is 35054698447. The reversal of 35054698441 is 14489645053.

The square root of 35054698441 is 187229.

It is a perfect power (a square), and thus also a powerful number.

35054698441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31481050041 + 3573648400 = 177429^2 + 59780^2 .

It is not a de Polignac number, because 35054698441 - 29 = 35054697929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35054698447) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9172311 + ... + 9176131.

Almost surely, 235054698441 is an apocalyptic number.

35054698441 is the 187229-th square number.

35054698441 is the 93615-th centered octagonal number.

It is an amenable number.

35054698441 is a deficient number, since it is larger than the sum of its proper divisors (5850721822).

35054698441 is an frugal number, since it uses more digits than its factorization.

35054698441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

Multiplying 35054698441 by its sum of digits (49), we get a square (1717680223609 = 13106032).

35054698441 divided by its sum of digits (49) gives a square (715402009 = 267472).

The spelling of 35054698441 in words is "thirty-five billion, fifty-four million, six hundred ninety-eight thousand, four hundred forty-one".

Divisors: 1 7 49 343 2401 3821 26747 187229 1310603 9174221 14600041 102200287 715402009 5007814063 35054698441