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690929481288 = 233174161677111
BaseRepresentation
bin10100000110111101001…
…10110011011001001000
32110001102001201022020110
422003132212303121020
542310010421400123
61245224132354320
7100626606455364
oct12033646633110
92401361638213
10690929481288
11247026752742
12b1aa6a759a0
13502011c8cc7
14256267b42a4
1512e8caeb493
hexa0de9b3648

690929481288 has 128 divisors (see below), whose sum is σ = 1904255619840. Its totient is φ = 208008192000.

The previous prime is 690929481287. The next prime is 690929481289. The reversal of 690929481288 is 882184929096.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (690929481287) and next prime (690929481289).

It is a super-2 number, since 2×6909294812882 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (690929481287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681853 + ... + 1358963.

It is an arithmetic number, because the mean of its divisors is an integer number (14876997030).

Almost surely, 2690929481288 is an apocalyptic number.

690929481288 is a gapful number since it is divisible by the number (68) 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 690929481288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952127809920).

690929481288 is an abundant number, since it is smaller than the sum of its proper divisors (1213326138552).

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

690929481288 is a wasteful number, since it uses less digits than its factorization.

690929481288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677239 (or 677235 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 690929481288 in words is "six hundred ninety billion, nine hundred twenty-nine million, four hundred eighty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 61 68 82 102 122 123 136 164 183 204 244 246 328 366 408 488 492 697 732 984 1037 1394 1464 2074 2091 2501 2788 3111 4148 4182 5002 5576 6222 7503 8296 8364 10004 12444 15006 16728 20008 24888 30012 42517 60024 85034 127551 170068 255102 340136 510204 677111 1020408 1354222 2031333 2708444 4062666 5416888 8125332 11510887 16250664 23021774 27761551 34532661 41303771 46043548 55523102 69065322 82607542 83284653 92087096 111046204 123911313 138130644 165215084 166569306 222092408 247822626 276261288 330430168 333138612 471946367 495645252 666277224 702164107 943892734 991290504 1404328214 1415839101 1693454611 1887785468 2106492321 2808656428 2831678202 3386909222 3775570936 4212984642 5080363833 5617312856 5663356404 6773818444 8425969284 10160727666 11326712808 13547636888 16851938568 20321455332 28788728387 40642910664 57577456774 86366185161 115154913548 172732370322 230309827096 345464740644 690929481288