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7000141888 = 26374172101
BaseRepresentation
bin1101000010011110…
…11011000001000000
3200001212000001102101
412201033123001000
5103314014020023
63114341200144
7335320136635
oct64117330100
920055001371
107000141888
112a72441233
121434400054
138773556bc
144a599618c
152ae8461ad
hex1a13db040

7000141888 has 56 divisors (see below), whose sum is σ = 14614498584. Its totient is φ = 3322368000.

The previous prime is 7000141879. The next prime is 7000141927. The reversal of 7000141888 is 8881410007.

It can be written as a sum of positive squares in 4 ways, for example, as 178703424 + 6821438464 = 13368^2 + 82592^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

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, 61038 + ... + 133138.

It is an arithmetic number, because the mean of its divisors is an integer number (260973189).

Almost surely, 27000141888 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 7000141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307249292).

7000141888 is an abundant number, since it is smaller than the sum of its proper divisors (7614356696).

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

7000141888 is a wasteful number, since it uses less digits than its factorization.

7000141888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72191 (or 72181 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The square root of 7000141888 is about 83666.8505920953. The cubic root of 7000141888 is about 1912.9441075412.

The spelling of 7000141888 in words is "seven billion, one hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 148 164 296 328 592 656 1184 1312 1517 2368 2624 3034 6068 12136 24272 48544 72101 97088 144202 288404 576808 1153616 2307232 2667737 2956141 4614464 5335474 5912282 10670948 11824564 21341896 23649128 42683792 47298256 85367584 94596512 109377217 170735168 189193024 218754434 437508868 875017736 1750035472 3500070944 7000141888