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7346001138 = 2371710619697
BaseRepresentation
bin1101101011101101…
…10001010011110010
3200221221210112010020
412311312301103302
5110021034014023
63212534144310
7350016656640
oct66566612362
920857715106
107346001138
11312a698423
1215101b2096
13900bbbc48
144d98a6190
152cedb2de3
hex1b5db14f2

7346001138 has 64 divisors (see below), whose sum is σ = 17797148928. Its totient is φ = 1973329920.

The previous prime is 7346001079. The next prime is 7346001161. The reversal of 7346001138 is 8311006437.

It is a junction number, because it is equal to n+sod(n) for n = 7346001099 and 7346001108.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 752706 + ... + 762402.

It is an arithmetic number, because the mean of its divisors is an integer number (278080452).

Almost surely, 27346001138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7346001138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8898574464).

7346001138 is an abundant number, since it is smaller than the sum of its proper divisors (10451147790).

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

7346001138 is a wasteful number, since it uses less digits than its factorization.

7346001138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10787.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7346001138 is about 85708.8159876217. The cubic root of 7346001138 is about 1943.9436145774.

The spelling of 7346001138 in words is "seven billion, three hundred forty-six million, one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1061 2122 3183 6366 7427 9697 14854 18037 19394 22281 29091 36074 44562 54111 58182 67879 108222 126259 135758 164849 203637 252518 329698 378777 407274 494547 757554 989094 1153943 2307886 3461829 6923658 10288517 20577034 30865551 61731102 72019619 144039238 174904789 216058857 349809578 432117714 524714367 1049428734 1224333523 2448667046 3673000569 7346001138