Search a number
-
+
4849069104 = 2433113132917
BaseRepresentation
bin1001000010000011…
…01110110000110000
3110111221101020022000
410201001232300300
534412330202404
62121100214000
7231110256465
oct44101566060
913457336260
104849069104
11206919a430
12b33b3a300
135c37c5079
1434001366c
151d5a91339
hex12106ec30

4849069104 has 160 divisors (see below), whose sum is σ = 15674234880. Its totient is φ = 1421971200.

The previous prime is 4849069079. The next prime is 4849069129. The reversal of 4849069104 is 4019609484.

4849069104 is a `hidden beast` number, since 484 + 9 + 0 + 69 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (4849069079) and next prime (4849069129).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4849069104.

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, 130854 + ... + 163770.

It is an arithmetic number, because the mean of its divisors is an integer number (97963968).

Almost surely, 24849069104 is an apocalyptic number.

4849069104 is a gapful number since it is divisible by the number (44) 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 4849069104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837117440).

4849069104 is an abundant number, since it is smaller than the sum of its proper divisors (10825165776).

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

4849069104 is a wasteful number, since it uses less digits than its factorization.

4849069104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32976 (or 32964 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4849069104 is about 69635.2576214090. The cubic root of 4849069104 is about 1692.5939768631.

The spelling of 4849069104 in words is "four billion, eight hundred forty-nine million, sixty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 744 792 837 1023 1116 1188 1364 1488 1584 1674 2046 2232 2376 2728 3069 3348 4092 4464 4752 5456 6138 6696 8184 9207 12276 13392 16368 18414 24552 32917 36828 49104 65834 73656 98751 131668 147312 197502 263336 296253 362087 395004 526672 592506 724174 790008 888759 1020427 1086261 1185012 1448348 1580016 1777518 2040854 2172522 2370024 2896696 3061281 3258783 3555036 4081708 4345044 4740048 5793392 6122562 6517566 7110072 8163416 8690088 9183843 9776349 11224697 12245124 13035132 14220144 16326832 17380176 18367686 19552698 22449394 24490248 26070264 27551529 33674091 36735372 39105396 44898788 48980496 52140528 55103058 67348182 73470744 78210792 89797576 101022273 110206116 134696364 146941488 156421584 179595152 202044546 220412232 269392728 303066819 404089092 440824464 538785456 606133638 808178184 1212267276 1616356368 2424534552 4849069104