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10116443484 = 2234741108793
BaseRepresentation
bin10010110101111110…
…01010110101011100
3222010000212120120000
421122333022311130
5131204302142414
64351502254300
7505460231220
oct113277126534
928100776500
1010116443484
1143215177a4
121b63b87390
13c52b6a644
146bd7d4780
153e320eb09
hex25afcad5c

10116443484 has 120 divisors (see below), whose sum is σ = 30961902048. Its totient is φ = 2819888640.

The previous prime is 10116443483. The next prime is 10116443489. The reversal of 10116443484 is 48434461101.

It is a happy number.

10116443484 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 644 + 3 + 4 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116443483) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38592 + ... + 147384.

Almost surely, 210116443484 is an apocalyptic number.

10116443484 is a gapful number since it is divisible by the number (14) 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 10116443484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15480951024).

10116443484 is an abundant number, since it is smaller than the sum of its proper divisors (20845458564).

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

10116443484 is a wasteful number, since it uses less digits than its factorization.

10116443484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108857 (or 108846 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10116443484 in words is "ten billion, one hundred sixteen million, four hundred forty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 246 252 287 324 369 378 492 567 574 738 756 861 1107 1134 1148 1476 1722 2214 2268 2583 3321 3444 4428 5166 6642 7749 10332 13284 15498 23247 30996 46494 92988 108793 217586 326379 435172 652758 761551 979137 1305516 1523102 1958274 2284653 2937411 3046204 3916548 4460513 4569306 5874822 6853959 8812233 8921026 9138612 11749644 13381539 13707918 17624466 17842052 20561877 26763078 27415836 31223591 35248932 40144617 41123754 53526156 61685631 62447182 80289234 82247508 93670773 120433851 123371262 124894364 160578468 187341546 240867702 246742524 281012319 361301553 374683092 481735404 562024638 722603106 843036957 1124049276 1445206212 1686073914 2529110871 3372147828 5058221742 10116443484