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7080212736 = 283217532
BaseRepresentation
bin1101001100000001…
…10111100100000000
3200021102200001222100
412212000313210000
5104000013301421
63130321310400
7340311546432
oct64600674400
920242601870
107080212736
113003660693
121457195400
1388ab0c0bc
144b247a652
152b68b0c26
hex1a6037900

7080212736 has 81 divisors (see below), whose sum is σ = 20425650609. Its totient is φ = 2358724608.

The previous prime is 7080212701. The next prime is 7080212747. The reversal of 7080212736 is 6372120807.

The square root of 7080212736 is 84144.

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

It can be written as a sum of positive squares in only one way, i.e., 200505600 + 6879707136 = 14160^2 + 82944^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 7080212736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4038036 + ... + 4039788.

Almost surely, 27080212736 is an apocalyptic number.

7080212736 is the 84144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7080212736

7080212736 is an abundant number, since it is smaller than the sum of its proper divisors (13345437873).

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

7080212736 is an frugal number, since it uses more digits than its factorization.

7080212736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The cubic root of 7080212736 is about 1920.2101853232.

Multiplying 7080212736 by its sum of digits (36), we get a square (254887658496 = 5048642).

7080212736 divided by its sum of digits (36) gives a square (196672576 = 140242).

Multiplying 7080212736 by its product of nonzero digits (28224), we get a square (199831924260864 = 141361922).

It can be divided in two parts, 70802 and 12736, that added together give a palindrome (83538).

The spelling of 7080212736 in words is "seven billion, eighty million, two hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1753 2304 3506 5259 7012 10518 14024 15777 21036 28048 31554 42072 56096 63108 84144 112192 126216 168288 224384 252432 336576 448768 504864 673152 1009728 1346304 2019456 3073009 4038912 6146018 9219027 12292036 18438054 24584072 27657081 36876108 49168144 55314162 73752216 98336288 110628324 147504432 196672576 221256648 295008864 393345152 442513296 590017728 786690304 885026592 1180035456 1770053184 2360070912 3540106368 7080212736