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2861822016 = 26347432
BaseRepresentation
bin1010101010010011…
…1111000001000000
321101110000121210000
42222210333001000
521330111301031
61151550440000
7130630041264
oct25244770100
97343017700
102861822016
111239473269
1267a503000
13367b94611
141d21180a4
1511b39c3e6
hexaa93f040

2861822016 has 105 divisors (see below), whose sum is σ = 8494770031. Its totient is φ = 952656768.

The previous prime is 2861822011. The next prime is 2861822083. The reversal of 2861822016 is 6102281682.

The square root of 2861822016 is 53496.

It is a perfect power (a square), and thus also a powerful number.

2861822016 is a `hidden beast` number, since 2 + 8 + 618 + 2 + 20 + 16 = 666.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2861822011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3851341 + ... + 3852083.

Almost surely, 22861822016 is an apocalyptic number.

2861822016 is the 53496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2861822016

2861822016 is an abundant number, since it is smaller than the sum of its proper divisors (5632948015).

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

2861822016 is an frugal number, since it uses more digits than its factorization.

2861822016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The cubic root of 2861822016 is about 1419.7576151785.

Multiplying 2861822016 by its sum of digits (36), we get a square (103025592576 = 3209762).

2861822016 divided by its sum of digits (36) gives a square (79495056 = 89162).

The spelling of 2861822016 in words is "two billion, eight hundred sixty-one million, eight hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 743 864 1296 1486 1728 2229 2592 2972 4458 5184 5944 6687 8916 11888 13374 17832 20061 23776 26748 35664 40122 47552 53496 60183 71328 80244 106992 120366 142656 160488 213984 240732 320976 427968 481464 552049 641952 962928 1104098 1283904 1656147 1925856 2208196 3312294 3851712 4416392 4968441 6624588 8832784 9936882 13249176 14905323 17665568 19873764 26498352 29810646 35331136 39747528 44715969 52996704 59621292 79495056 89431938 105993408 119242584 158990112 178863876 238485168 317980224 357727752 476970336 715455504 953940672 1430911008 2861822016