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2070524016 = 2432113473767
BaseRepresentation
bin111101101101001…
…1011000001110000
312100022001111222200
41323122123001300
513220023232031
6541242303200
7102211110111
oct17332330160
95308044880
102070524016
11972836380
124994b7b00
1326cc6a552
14158db6208
15c1b938e6
hex7b69b070

2070524016 has 120 divisors (see below), whose sum is σ = 6341272704. Its totient is φ = 625457280.

The previous prime is 2070524011. The next prime is 2070524017. The reversal of 2070524016 is 6104250702.

2070524016 is a `hidden beast` number, since 207 + 0 + 52 + 401 + 6 = 666.

2070524016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×20705240164 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070524011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547765 + ... + 551531.

Almost surely, 22070524016 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 2070524016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170636352).

2070524016 is an abundant number, since it is smaller than the sum of its proper divisors (4270748688).

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

2070524016 is a wasteful number, since it uses less digits than its factorization.

2070524016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2070524016 is about 45503.0110652031. The cubic root of 2070524016 is about 1274.5594307109.

Adding to 2070524016 its reverse (6104250702), we get a palindrome (8174774718).

The spelling of 2070524016 in words is "two billion, seventy million, five hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 347 396 528 694 792 1041 1388 1584 2082 2776 3123 3767 3817 4164 5552 6246 7534 7634 8328 11301 11451 12492 15068 15268 16656 22602 22902 24984 30136 30536 33903 34353 41437 45204 45804 49968 60272 61072 67806 68706 82874 90408 91608 124311 135612 137412 165748 180816 183216 248622 271224 274824 331496 372933 497244 542448 549648 662992 745866 994488 1307149 1491732 1988976 2614298 2983464 3921447 5228596 5966928 7842894 10457192 11764341 14378639 15685788 20914384 23528682 28757278 31371576 43135917 47057364 57514556 62743152 86271834 94114728 115029112 129407751 172543668 188229456 230058224 258815502 345087336 517631004 690174672 1035262008 2070524016