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99982293138 = 23674134
BaseRepresentation
bin101110100011101101…
…0001011100010010010
3100120001221022202000000
41131013122023202102
53114230431340023
6113533051310430
710136440320000
oct1350732134222
9316057282000
1099982293138
1139447441732
1217463a4b416
139574c50000
144ba6971a70
1529028dd243
hex174768b892

99982293138 has 350 divisors, whose sum is σ = 284176964739. Its totient is φ = 26368956432.

The previous prime is 99982293127. The next prime is 99982293157. The reversal of 99982293138 is 83139228999.

99982293138 is a `hidden beast` number, since 9 + 9 + 98 + 229 + 313 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1750329 + 99980542809 = 1323^2 + 316197^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=223587.

It is a super-2 number, since 2×999822931382 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 7690945620 + ... + 7690945632.

Almost surely, 299982293138 is an apocalyptic number.

99982293138 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99982293138

99982293138 is an abundant number, since it is smaller than the sum of its proper divisors (184194671601).

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

99982293138 is an frugal number, since it uses more digits than its factorization.

99982293138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 25 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The spelling of 99982293138 in words is "ninety-nine billion, nine hundred eighty-two million, two hundred ninety-three thousand, one hundred thirty-eight".