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2070472704 = 21131743461
BaseRepresentation
bin111101101101000…
…1110100000000000
312100021221220121020
41323122032200000
513220020111304
6541241225440
7102210504366
oct17332164000
95307856536
102070472704
11972800873
12499492280
1326cc500a1
14158da1636
15c1b835d9
hex7b68e800

2070472704 has 192 divisors, whose sum is σ = 5993507520. Its totient is φ = 633077760.

The previous prime is 2070472699. The next prime is 2070472727. The reversal of 2070472704 is 4072740702.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4491034 + ... + 4491494.

It is an arithmetic number, because the mean of its divisors is an integer number (31216185).

Almost surely, 22070472704 is an apocalyptic number.

2070472704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996753760).

2070472704 is an abundant number, since it is smaller than the sum of its proper divisors (3923034816).

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

2070472704 is a wasteful number, since it uses less digits than its factorization.

2070472704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 2070472704 is about 45502.4472308908. The cubic root of 2070472704 is about 1274.5489018571.

The spelling of 2070472704 in words is "two billion, seventy million, four hundred seventy-two thousand, seven hundred four".