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3135245672 = 2313174434003
BaseRepresentation
bin1011101011100000…
…0000110101101000
322002111111222112002
42322320000311220
522410110330142
61235035110132
7140460101636
oct27270006550
98074458462
103135245672
111369845529
12735ba2348
133ac718870
1421a570356
151353aba32
hexbae00d68

3135245672 has 64 divisors (see below), whose sum is σ = 6719993280. Its totient is φ = 1358502912.

The previous prime is 3135245647. The next prime is 3135245677. The reversal of 3135245672 is 2765425313.

It is not an unprimeable number, because it can be changed into a prime (3135245677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781223 + ... + 785225.

It is an arithmetic number, because the mean of its divisors is an integer number (104999895).

Almost surely, 23135245672 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 3135245672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359996640).

3135245672 is an abundant number, since it is smaller than the sum of its proper divisors (3584747608).

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

3135245672 is a wasteful number, since it uses less digits than its factorization.

3135245672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4478 counting only the distinct ones).

The product of its digits is 151200, while the sum is 38.

The square root of 3135245672 is about 55993.2645235121. The cubic root of 3135245672 is about 1463.6049141917.

The spelling of 3135245672 in words is "three billion, one hundred thirty-five million, two hundred forty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 443 884 886 1768 1772 3544 4003 5759 7531 8006 11518 15062 16012 23036 30124 32024 46072 52039 60248 68051 97903 104078 136102 195806 208156 272204 391612 416312 544408 783224 884663 1769326 1773329 3538652 3546658 7077304 7093316 14186632 23053277 30146593 46106554 60293186 92213108 120586372 184426216 241172744 391905709 783811418 1567622836 3135245672