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4061433656 = 2372314921163
BaseRepresentation
bin1111001000010100…
…1000111100111000
3101111001022012120202
43302011020330320
531304211334111
61511002341332
7202434421310
oct36205107470
911431265522
104061433656
1117a4634245
129541ba848
134c95810a7
142a7586440
1518b85cb3b
hexf2148f38

4061433656 has 64 divisors (see below), whose sum is σ = 9142848000. Its totient is φ = 1653683328.

The previous prime is 4061433647. The next prime is 4061433667. The reversal of 4061433656 is 6563341604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181331 + ... + 202493.

It is an arithmetic number, because the mean of its divisors is an integer number (142857000).

Almost surely, 24061433656 is an apocalyptic number.

4061433656 is a gapful number since it is divisible by the number (46) 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 4061433656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571424000).

4061433656 is an abundant number, since it is smaller than the sum of its proper divisors (5081414344).

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

4061433656 is a wasteful number, since it uses less digits than its factorization.

4061433656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21348 (or 21344 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 4061433656 is about 63729.3782803504. The cubic root of 4061433656 is about 1595.4864533665.

The spelling of 4061433656 in words is "four billion, sixty-one million, four hundred thirty-three thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 149 161 184 298 322 596 644 1043 1192 1288 2086 3427 4172 6854 8344 13708 21163 23989 27416 42326 47978 84652 95956 148141 169304 191912 296282 486749 592564 973498 1185128 1946996 3153287 3407243 3893992 6306574 6814486 12613148 13628972 22073009 25226296 27257944 44146018 72525601 88292036 145051202 176584072 290102404 507679207 580204808 1015358414 2030716828 4061433656