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26744444540 = 225111735919919
BaseRepresentation
bin11000111010000101…
…111101011001111100
32120000212101112211222
4120322011331121330
5414233034211130
620141454132512
71634516012342
oct307205753174
976025345758
1026744444540
11103845a6030
1252247b1138
1326a2a74618
141419d1b992
15a67e04ce5
hex63a17d67c

26744444540 has 96 divisors (see below), whose sum is σ = 65057126400. Its totient is φ = 9127224320.

The previous prime is 26744444539. The next prime is 26744444549. The reversal of 26744444540 is 4544444762.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 26744444491 and 26744444500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26744444549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332701 + ... + 1352619.

It is an arithmetic number, because the mean of its divisors is an integer number (677678400).

Almost surely, 226744444540 is an apocalyptic number.

26744444540 is a gapful number since it is divisible by the number (20) 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 26744444540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32528563200).

26744444540 is an abundant number, since it is smaller than the sum of its proper divisors (38312681860).

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

26744444540 is a wasteful number, since it uses less digits than its factorization.

26744444540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20315 (or 20313 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 44.

The spelling of 26744444540 in words is "twenty-six billion, seven hundred forty-four million, four hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 359 374 718 748 935 1436 1795 1870 3590 3740 3949 6103 7180 7898 12206 15796 19745 19919 24412 30515 39490 39838 61030 67133 78980 79676 99595 122060 134266 199190 219109 268532 335665 338623 398380 438218 671330 677246 876436 1095545 1342660 1354492 1693115 2191090 3386230 3724853 4382180 6772460 7150921 7449706 14301842 14899412 18624265 28603684 35754605 37248530 71509210 74497060 78660131 121565657 143018420 157320262 243131314 314640524 393300655 486262628 607828285 786601310 1215656570 1337222227 1573202620 2431313140 2674444454 5348888908 6686111135 13372222270 26744444540