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35345503040 = 265412694017
BaseRepresentation
bin100000111010110000…
…011001001101000000
310101020021210121000012
4200322300121031000
51034341422044130
624123144444052
72360615550551
oct407260311500
9111207717005
1035345503040
1113a98684641
126a25179628
133443994053
1419d4366328
15dbd07b995
hex83ac19340

35345503040 has 56 divisors (see below), whose sum is σ = 86219352072. Its totient is φ = 13793361920.

The previous prime is 35345503003. The next prime is 35345503043. The reversal of 35345503040 is 4030554353.

It can be written as a sum of positive squares in 4 ways, for example, as 3498959104 + 31846543936 = 59152^2 + 178456^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 35345502988 and 35345503006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35345503043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333889 + ... + 1360128.

It is an arithmetic number, because the mean of its divisors is an integer number (1539631287).

Almost surely, 235345503040 is an apocalyptic number.

It is an amenable number.

35345503040 is an abundant number, since it is smaller than the sum of its proper divisors (50873849032).

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

35345503040 is a wasteful number, since it uses less digits than its factorization.

35345503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694075 (or 2694065 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The spelling of 35345503040 in words is "thirty-five billion, three hundred forty-five million, five hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 2694017 5388034 10776068 13470085 21552136 26940170 43104272 53880340 86208544 107760680 110454697 172417088 215521360 220909394 431042720 441818788 552273485 862085440 883637576 1104546970 1767275152 2209093940 3534550304 4418187880 7069100608 8836375760 17672751520 35345503040