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20694666649602 = 231119137934312893
BaseRepresentation
bin1001011010010010110100…
…10000010010000000000010
32201021101112220022122001110
410231021122100102000002
510203030134130241402
6112002555411144150
74234066063066611
oct455113220220002
981241486278043
1020694666649602
1166596168a6630
1223a2921ba5056
13b7166381832a
145178ad0c9878
1525d4b0adb56c
hex12d25a412002

20694666649602 has 128 divisors (see below), whose sum is σ = 47884181667840. Its totient is φ = 5896598653440.

The previous prime is 20694666649567. The next prime is 20694666649637.

20694666649602 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (20694666649567) and next prime (20694666649637).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1605102268 + ... + 1605115160.

It is an arithmetic number, because the mean of its divisors is an integer number (374095169280).

Almost surely, 220694666649602 is an apocalyptic number.

20694666649602 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20694666649602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23942090833920).

20694666649602 is an abundant number, since it is smaller than the sum of its proper divisors (27189515018238).

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

20694666649602 is a wasteful number, since it uses less digits than its factorization.

20694666649602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22408.

The product of its (nonzero) digits is 241864704, while the sum is 66.

The spelling of 20694666649602 in words is "twenty trillion, six hundred ninety-four billion, six hundred sixty-six million, six hundred forty-nine thousand, six hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 137 209 274 411 418 627 822 1254 1507 2603 3014 4521 5206 7809 9042 9343 12893 15618 18686 25786 28029 28633 38679 56058 57266 77358 85899 102773 141823 171798 177517 205546 244967 283646 308319 355034 425469 489934 532551 616638 734901 850938 1065102 1279991 1469802 1766341 1952687 2559982 2694637 3532682 3839973 3905374 5299023 5389274 5858061 7679946 8083911 10598046 11716122 14079901 16167822 19429751 24319829 28159802 33560479 38859502 42239703 48639658 58289253 67120958 72959487 84479406 100681437 116578506 120459299 145918974 201362874 240918598 267518119 361377897 369165269 535036238 722755794 738330538 802554357 1107495807 1325052289 1605108714 2214991614 2288726681 2650104578 3975156867 4577453362 6866180043 7950313734 13732360086 16502923963 25175993491 33005847926 49508771889 50351986982 75527980473 99017543778 151055960946 181532163593 313555555297 363064327186 544596490779 627111110594 940666665891 1089192981558 1881333331782 3449111108267 6898222216534 10347333324801 20694666649602