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7442061016 = 231327969677
BaseRepresentation
bin1101110111001010…
…01101011011011000
3201012122112212111111
412323211031123120
5110220131423031
63230245110104
7352264321615
oct67345153330
921178485444
107442061016
113179938655
1215383b8334
13917a83200
1450854d50c
152d853a1b1
hex1bb94d6d8

7442061016 has 48 divisors (see below), whose sum is σ = 15301288800. Its totient is φ = 3391270272.

The previous prime is 7442060959. The next prime is 7442061047. The reversal of 7442061016 is 6101602447.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71970 + ... + 141646.

It is an arithmetic number, because the mean of its divisors is an integer number (318776850).

Almost surely, 27442061016 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 7442061016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650644400).

7442061016 is an abundant number, since it is smaller than the sum of its proper divisors (7859227784).

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

7442061016 is a wasteful number, since it uses less digits than its factorization.

7442061016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69788 (or 69771 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 7442061016 is about 86267.3809501598. The cubic root of 7442061016 is about 1952.3802637239.

The spelling of 7442061016 in words is "seven billion, four hundred forty-two million, sixty-one thousand, sixteen".

Divisors: 1 2 4 8 13 26 52 79 104 158 169 316 338 632 676 1027 1352 2054 4108 8216 13351 26702 53404 69677 106808 139354 278708 557416 905801 1811602 3623204 5504483 7246408 11008966 11775413 22017932 23550826 44035864 47101652 71558279 94203304 143116558 286233116 572466232 930257627 1860515254 3721030508 7442061016