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1211069664 = 253371711779
BaseRepresentation
bin100100000101111…
…0111010011100000
310010101211201021000
41020023313103200
54440013212124
6320101232000
742003631230
oct11013672340
93111751230
101211069664
11571687622
12299702600
13163b9bb8c
14b6bb1cc0
15714c56c9
hex482f74e0

1211069664 has 192 divisors, whose sum is σ = 4274726400. Its totient is φ = 325638144.

The previous prime is 1211069641. The next prime is 1211069677. The reversal of 1211069664 is 4669601121.

It is a super-2 number, since 2×12110696642 = 2933379462122145792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96927 + ... + 108705.

It is an arithmetic number, because the mean of its divisors is an integer number (22264200).

Almost surely, 21211069664 is an apocalyptic number.

1211069664 is a gapful number since it is divisible by the number (14) 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 1211069664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137363200).

1211069664 is an abundant number, since it is smaller than the sum of its proper divisors (3063656736).

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

1211069664 is a wasteful number, since it uses less digits than its factorization.

1211069664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11822 (or 11808 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1211069664 is about 34800.4262042866. The cubic root of 1211069664 is about 1065.9161487877.

The spelling of 1211069664 in words is "one billion, two hundred eleven million, sixty-nine thousand, six hundred sixty-four".