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1297076664 = 233134918467
BaseRepresentation
bin100110101001111…
…1101000110111000
310100101200022200110
41031103331012320
510124022423124
6332412504320
744066653422
oct11523750670
93311608613
101297076664
11606190994
1230247b0a0
131789534b0
14c439d812
1578d14029
hex4d4fd1b8

1297076664 has 64 divisors (see below), whose sum is σ = 3499655040. Its totient is φ = 398240640.

The previous prime is 1297076663. The next prime is 1297076689. The reversal of 1297076664 is 4666707921.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297076663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148959 + ... + 157425.

It is an arithmetic number, because the mean of its divisors is an integer number (54682110).

Almost surely, 21297076664 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 1297076664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749827520).

1297076664 is an abundant number, since it is smaller than the sum of its proper divisors (2202578376).

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

1297076664 is a wasteful number, since it uses less digits than its factorization.

1297076664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 1297076664 is about 36014.9505622318. The cubic root of 1297076664 is about 1090.5741900823.

The spelling of 1297076664 in words is "one billion, two hundred ninety-seven million, seventy-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 491 982 1473 1964 2946 3928 5892 6383 8467 11784 12766 16934 19149 25401 25532 33868 38298 50802 51064 67736 76596 101604 110071 153192 203208 220142 330213 440284 660426 880568 1320852 2641704 4157297 8314594 12471891 16629188 24943782 33258376 49887564 54044861 99775128 108089722 162134583 216179444 324269166 432358888 648538332 1297076664