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138025248924186 = 232131734697146537
BaseRepresentation
bin11111011000100010000001…
…111011101010001000011010
3200002201002021220200221020100
4133120202001323222020122
5121042401202211033221
61205315531330040230
741033665224063621
oct3730420173521032
9602632256627210
10138025248924186
113aa851a7785958
1213592274719076
135c02957139670
142612659ca06b8
1510e5547ea1926
hex7d8881eea21a

138025248924186 has 48 divisors (see below), whose sum is σ = 341003556175464. Its totient is φ = 39971112809472.

The previous prime is 138025248924137. The next prime is 138025248924191. The reversal of 138025248924186 is 681429842520831.

138025248924186 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 2 + 52 + 489 + 24 + 1 + 86 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133185886903161 + 4839362021025 = 11540619^2 + 2199855^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17348569291 + ... + 17348577246.

Almost surely, 2138025248924186 is an apocalyptic number.

138025248924186 is an abundant number, since it is smaller than the sum of its proper divisors (202978307251278).

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

138025248924186 is a wasteful number, since it uses less digits than its factorization.

138025248924186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34697146575 (or 34697146572 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 138025248924186 in words is "one hundred thirty-eight trillion, twenty-five billion, two hundred forty-eight million, nine hundred twenty-four thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 34697146537 69394293074 104091439611 208182879222 312274318833 451062904981 589851491129 624548637666 902125809962 1179702982258 1353188714943 1769554473387 2706377429886 3539108946774 4059566144829 5308663420161 7668069384677 8119132289658 10617326840322 15336138769354 23004208154031 46008416308062 69012624462093 138025248924186