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2935078668 = 2232238939829
BaseRepresentation
bin1010111011110001…
…1011111100001100
321120112212110000100
42232330123330030
522002340004133
61203124531100
7132506520444
oct25674337414
97515773010
102935078668
111276859055
1269ab50a90
1337a103552
141dbb47124
15122a1ce13
hexaef1bf0c

2935078668 has 72 divisors (see below), whose sum is σ = 7828984800. Its totient is φ = 925284096.

The previous prime is 2935078651. The next prime is 2935078669. The reversal of 2935078668 is 8668705392.

It is a happy number.

It is a super-2 number, since 2×29350786682 = 17229373574697308448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2935078669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53778 + ... + 93606.

It is an arithmetic number, because the mean of its divisors is an integer number (108735900).

Almost surely, 22935078668 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 2935078668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914492400).

2935078668 is an abundant number, since it is smaller than the sum of its proper divisors (4893906132).

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

2935078668 is a wasteful number, since it uses less digits than its factorization.

2935078668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39951 (or 39946 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2935078668 is about 54176.3663233333. The cubic root of 2935078668 is about 1431.7699680180.

The spelling of 2935078668 in words is "two billion, nine hundred thirty-five million, seventy-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 89 92 138 178 207 267 276 356 414 534 801 828 1068 1602 2047 3204 4094 6141 8188 12282 18423 24564 36846 39829 73692 79658 119487 159316 238974 358461 477948 716922 916067 1433844 1832134 2748201 3544781 3664268 5496402 7089562 8244603 10634343 10992804 14179124 16489206 21268686 31903029 32978412 42537372 63806058 81529963 127612116 163059926 244589889 326119852 489179778 733769667 978359556 1467539334 2935078668