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4161662232 = 2337135932297
BaseRepresentation
bin1111100000001101…
…1110110100011000
3101202000220100100020
43320003132310120
532010341142412
61524542510440
7205062355020
oct37003366430
911660810306
104161662232
111846171482
12981895420
13514274940
142b69d6a80
1519555a18c
hexf80ded18

4161662232 has 128 divisors (see below), whose sum is σ = 13022553600. Its totient is φ = 1078944768.

The previous prime is 4161662213. The next prime is 4161662273. The reversal of 4161662232 is 2322661614.

4161662232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4161662193 and 4161662202.

It is a congruent number.

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, 112708 + ... + 145004.

It is an arithmetic number, because the mean of its divisors is an integer number (101738700).

Almost surely, 24161662232 is an apocalyptic number.

4161662232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161662232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511276800).

4161662232 is an abundant number, since it is smaller than the sum of its proper divisors (8860891368).

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

4161662232 is a wasteful number, since it uses less digits than its factorization.

4161662232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32385 (or 32381 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 4161662232 is about 64510.9466059831. The cubic root of 4161662232 is about 1608.5044857769.

The spelling of 4161662232 in words is "four billion, one hundred sixty-one million, six hundred sixty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 59 78 84 91 104 118 156 168 177 182 236 273 312 354 364 413 472 546 708 728 767 826 1092 1239 1416 1534 1652 2184 2301 2478 3068 3304 4602 4956 5369 6136 9204 9912 10738 16107 18408 21476 32214 32297 42952 64428 64594 96891 128856 129188 193782 226079 258376 387564 419861 452158 678237 775128 839722 904316 1259583 1356474 1679444 1808632 1905523 2519166 2712948 2939027 3358888 3811046 5038332 5425896 5716569 5878054 7622092 8817081 10076664 11433138 11756108 13338661 15244184 17634162 22866276 23512216 24771799 26677322 35268324 40015983 45732552 49543598 53354644 70536648 74315397 80031966 99087196 106709288 148630794 160063932 173402593 198174392 297261588 320127864 346805186 520207779 594523176 693610372 1040415558 1387220744 2080831116 4161662232