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2181647104 = 28713711319
BaseRepresentation
bin1000001000001001…
…0100101100000000
312122001011011012121
42002002110230000
513432000201404
61000252134024
7105030460120
oct20202245400
95561134177
102181647104
11a1a53483a
1250a767314
13289ca6b60
14169a60c80
15cb7e3e54
hex82094b00

2181647104 has 144 divisors (see below), whose sum is σ = 5439329280. Its totient is φ = 850268160.

The previous prime is 2181647087. The next prime is 2181647107. The reversal of 2181647104 is 4017461812.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2181647104.

It is not an unprimeable number, because it can be changed into a prime (2181647107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1653357 + ... + 1654675.

It is an arithmetic number, because the mean of its divisors is an integer number (37773120).

Almost surely, 22181647104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2181647104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719664640).

2181647104 is an abundant number, since it is smaller than the sum of its proper divisors (3257682176).

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

2181647104 is a wasteful number, since it uses less digits than its factorization.

2181647104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 2181647104 is about 46708.1053351557. The cubic root of 2181647104 is about 1296.9647341008.

The spelling of 2181647104 in words is "two billion, one hundred eighty-one million, six hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 71 91 104 112 128 142 182 208 224 256 284 364 416 448 497 568 728 832 896 923 994 1136 1319 1456 1664 1792 1846 1988 2272 2638 2912 3328 3692 3976 4544 5276 5824 6461 7384 7952 9088 9233 10552 11648 12922 14768 15904 17147 18176 18466 21104 23296 25844 29536 31808 34294 36932 42208 51688 59072 63616 68588 73864 84416 93649 103376 118144 120029 127232 137176 147728 168832 187298 206752 236288 240058 274352 295456 337664 374596 413504 480116 548704 590912 655543 749192 827008 960232 1097408 1181824 1217437 1311086 1498384 1654016 1920464 2194816 2363648 2434874 2622172 2996768 3840928 4389632 4869748 5244344 5993536 7681856 8522059 9739496 10488688 11987072 15363712 17044118 19478992 20977376 23974144 30727424 34088236 38957984 41954752 68176472 77915968 83909504 136352944 155831936 167819008 272705888 311663872 545411776 1090823552 2181647104