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7000438146 = 2313591579689
BaseRepresentation
bin1101000010100001…
…00011010110000010
3200001212120002210220
412201100203112002
5103314103010041
63114351403510
7335322512442
oct64120432602
920055502726
107000438146
112a72623879
121434523596
1387742a4c0
144a5a32122
152ae8a3d66
hex1a1423582

7000438146 has 64 divisors (see below), whose sum is σ = 15432681600. Its totient is φ = 2103768576.

The previous prime is 7000438111. The next prime is 7000438153. The reversal of 7000438146 is 6418340007.

It is a super-2 number, since 2×70004381462 = 98012268471943834632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717670 + ... + 727358.

It is an arithmetic number, because the mean of its divisors is an integer number (241135650).

Almost surely, 27000438146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7000438146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716340800).

7000438146 is an abundant number, since it is smaller than the sum of its proper divisors (8432243454).

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

7000438146 is a wasteful number, since it uses less digits than its factorization.

7000438146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9923.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 7000438146 is about 83668.6210356069. The cubic root of 7000438146 is about 1912.9710935181.

The spelling of 7000438146 in words is "seven billion, four hundred thirty-eight thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 59 78 118 157 177 314 354 471 767 942 1534 2041 2301 4082 4602 6123 9263 9689 12246 18526 19378 27789 29067 55578 58134 120419 125957 240838 251914 361257 377871 571651 722514 755742 1143302 1521173 1714953 3042346 3429906 4563519 7431463 9127038 14862926 19775249 22294389 39550498 44588778 59325747 89749207 118651494 179498414 269247621 538495242 1166739691 2333479382 3500219073 7000438146