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4361052672 = 29321949811
BaseRepresentation
bin1000000111111000…
…00110001000000000
3102020221002102121100
410003330012020000
532412412141142
62000424254400
7213033223164
oct40374061000
912227072540
104361052672
111938778469
12a18611400
13546677652
142d529aca4
151a7ce3b4c
hex103f06200

4361052672 has 120 divisors (see below), whose sum is σ = 13248995760. Its totient is φ = 1377146880.

The previous prime is 4361052569. The next prime is 4361052677. The reversal of 4361052672 is 2762501634.

4361052672 is a `hidden beast` number, since 4 + 3 + 61 + 0 + 526 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4361052677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62647 + ... + 112457.

It is an arithmetic number, because the mean of its divisors is an integer number (110408298).

Almost surely, 24361052672 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 4361052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624497880).

4361052672 is an abundant number, since it is smaller than the sum of its proper divisors (8887943088).

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

4361052672 is a wasteful number, since it uses less digits than its factorization.

4361052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49854 (or 49835 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4361052672 is about 66038.2667246802. The cubic root of 4361052672 is about 1633.7932997861.

The spelling of 4361052672 in words is "four billion, three hundred sixty-one million, fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9728 10944 14592 21888 29184 43776 49811 87552 99622 149433 199244 298866 398488 448299 597732 796976 896598 946409 1195464 1593952 1793196 1892818 2390928 2839227 3187904 3586392 3785636 4781856 5678454 6375808 7172784 7571272 8517681 9563712 11356908 12751616 14345568 15142544 17035362 19127424 22713816 25503232 28691136 30285088 34070724 38254848 45427632 57382272 60570176 68141448 76509696 90855264 114764544 121140352 136282896 181710528 229529088 242280704 272565792 363421056 484561408 545131584 726842112 1090263168 1453684224 2180526336 4361052672