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3834222613806 = 2313253251284243
BaseRepresentation
bin110111110010111001011…
…110100001010100101110
3111120112210120021220222210
4313302321132201110232
51000304441442120211
612053230105151250
7544004416322304
oct67627136412456
914515716256883
103834222613806
1112490a2786782
1251b12148b526
1321a747937400
14d3812408274
1569b0c2099a6
hex37cb97a152e

3834222613806 has 96 divisors (see below), whose sum is σ = 8494111204992. Its totient is φ = 1152885552000.

The previous prime is 3834222613801. The next prime is 3834222613811. The reversal of 3834222613806 is 6083162224383.

It is an interprime number because it is at equal distance from previous prime (3834222613801) and next prime (3834222613811).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834222613801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13347121 + ... + 13631363.

It is an arithmetic number, because the mean of its divisors is an integer number (88480325052).

Almost surely, 23834222613806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3834222613806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247055602496).

3834222613806 is an abundant number, since it is smaller than the sum of its proper divisors (4659888591186).

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

3834222613806 is a wasteful number, since it uses less digits than its factorization.

3834222613806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284578 (or 284565 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 3834222613806 in words is "three trillion, eight hundred thirty-four billion, two hundred twenty-two million, six hundred thirteen thousand, eight hundred six".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 169 251 318 338 502 507 689 753 1014 1378 1506 2067 3263 4134 6526 8957 9789 13303 17914 19578 26606 26871 39909 42419 53742 79818 84838 127257 172939 254514 284243 345878 518817 568486 852729 1037634 1705458 2248207 3695159 4496414 6744621 7390318 11085477 13489242 15064879 22170954 30129758 45194637 48037067 71344993 90389274 96074134 142689986 144111201 195843427 214034979 288222402 391686854 428069958 587530281 927484909 1175060562 1854969818 2545964551 2782454727 3781284629 5091929102 5564909454 7562569258 7637893653 11343853887 12057303817 15275787306 22687707774 24114607634 36171911451 49156700177 72343822902 98313400354 147470100531 294940201062 639037102301 1278074204602 1917111306903 3834222613806