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66470296820 = 22517557350989
BaseRepresentation
bin111101111001111100…
…000011110011110100
320100120102120221101012
4331321330003303310
52042112343444240
650311441051352
74542124125554
oct757174036364
9210512527335
1066470296820
112620a827904
1210a70926b58
1363640ab1a5
143307d25164
151ae07d7b65
hexf79f03cf4

66470296820 has 48 divisors (see below), whose sum is σ = 148064429520. Its totient is φ = 24979113984.

The previous prime is 66470296757. The next prime is 66470296847. The reversal of 66470296820 is 2869207466.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8681021584 + 57789275236 = 93172^2 + 240394^2 .

It is a super-2 number, since 2×664702968202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13886 + ... + 364874.

It is an arithmetic number, because the mean of its divisors is an integer number (3084675615).

Almost surely, 266470296820 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 66470296820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74032214760).

66470296820 is an abundant number, since it is smaller than the sum of its proper divisors (81594132700).

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

66470296820 is a wasteful number, since it uses less digits than its factorization.

66470296820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351572 (or 351570 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 66470296820 in words is "sixty-six billion, four hundred seventy million, two hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 557 1114 2228 2785 5570 9469 11140 18938 37876 47345 94690 189380 350989 701978 1403956 1754945 3509890 5966813 7019780 11933626 23867252 29834065 59668130 119336260 195500873 391001746 782003492 977504365 1955008730 3323514841 3910017460 6647029682 13294059364 16617574205 33235148410 66470296820