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2969207164 = 2271127135573
BaseRepresentation
bin1011000011111010…
…1000000101111100
321122221002100111201
42300332220011330
522040104112124
61210344225244
7133402562440
oct26076500574
97587070451
102969207164
111294049320
126aa46b224
133841c2721
142024ac820
15125a10144
hexb0fa817c

2969207164 has 48 divisors (see below), whose sum is σ = 6502358016. Its totient is φ = 1152532800.

The previous prime is 2969207123. The next prime is 2969207177. The reversal of 2969207164 is 4617029692.

2969207164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 65682 + ... + 101254.

It is an arithmetic number, because the mean of its divisors is an integer number (135465792).

Almost surely, 22969207164 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 2969207164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251179008).

2969207164 is an abundant number, since it is smaller than the sum of its proper divisors (3533150852).

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

2969207164 is a wasteful number, since it uses less digits than its factorization.

2969207164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35866 (or 35864 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 2969207164 is about 54490.4318573454. The cubic root of 2969207164 is about 1437.2980396699.

The spelling of 2969207164 in words is "two billion, nine hundred sixty-nine million, two hundred seven thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 271 308 542 1084 1897 2981 3794 5962 7588 11924 20867 35573 41734 71146 83468 142292 249011 391303 498022 782606 996044 1565212 2739121 5478242 9640283 10956484 19280566 38561132 67481981 106043113 134963962 212086226 269927924 424172452 742301791 1484603582 2969207164