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7023110416 = 2472412732
BaseRepresentation
bin1101000101001110…
…00010100100010000
3200010110012222022121
412202213002210100
5103340404013131
63120521344024
7336016311400
oct64247024420
920113188277
107023110416
112a843a9893
121440038014
1387c03804a
144a8a54800
152b1881911
hex1a29c2910

7023110416 has 135 divisors (see below), whose sum is σ = 16449655023. Its totient is φ = 2896266240.

The previous prime is 7023110399. The next prime is 7023110443. The reversal of 7023110416 is 6140113207.

The square root of 7023110416 is 83804.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1592010000 + 5431100416 = 39900^2 + 73696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96206956 + ... + 96207028.

Almost surely, 27023110416 is an apocalyptic number.

7023110416 is the 83804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7023110416

7023110416 is an abundant number, since it is smaller than the sum of its proper divisors (9426544607).

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

7023110416 is an equidigital number, since it uses as much as digits as its factorization.

7023110416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The cubic root of 7023110416 is about 1915.0340433926.

Multiplying 7023110416 by its sum of digits (25), we get a square (175577760400 = 4190202).

The spelling of 7023110416 in words is "seven billion, twenty-three million, one hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 73 82 98 112 146 164 196 287 292 328 392 511 574 584 656 784 1022 1148 1168 1681 2009 2044 2296 2993 3362 3577 4018 4088 4592 5329 5986 6724 7154 8036 8176 10658 11767 11972 13448 14308 16072 20951 21316 23534 23944 26896 28616 32144 37303 41902 42632 47068 47888 57232 74606 82369 83804 85264 94136 122713 146657 149212 164738 167608 188272 218489 245426 261121 293314 298424 329476 335216 436978 490852 522242 586628 596848 658952 858991 873956 981704 1044484 1173256 1317904 1529423 1717982 1747912 1963408 2088968 2346512 3058846 3435964 3495824 4177936 6012937 6117692 6871928 8958049 10705961 12025874 12235384 13743856 17916098 21411922 24051748 24470768 35832196 42823844 48103496 62706343 71664392 85647688 96206992 125412686 143328784 171295376 250825372 438944401 501650744 877888802 1003301488 1755777604 3511555208 7023110416