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10913287680 = 29335157889
BaseRepresentation
bin10100010100111101…
…11000111000000000
31001011120021110022000
422022132320320000
5134322300201210
65002525344000
7534304262151
oct121236707000
931146243260
1010913287680
1146a02a2619
122146a08000
13104bc86c99
1475757b928
1543d161ac0
hex28a7b8e00

10913287680 has 160 divisors (see below), whose sum is σ = 38765152800. Its totient is φ = 2910191616.

The previous prime is 10913287669. The next prime is 10913287681. The reversal of 10913287680 is 8678231901.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10913287681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9825 + ... + 148064.

It is an arithmetic number, because the mean of its divisors is an integer number (242282205).

Almost surely, 210913287680 is an apocalyptic number.

10913287680 is a gapful number since it is divisible by the number (10) 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 10913287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19382576400).

10913287680 is an abundant number, since it is smaller than the sum of its proper divisors (27851865120).

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

10913287680 is an equidigital number, since it uses as much as digits as its factorization.

10913287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157921 (or 157899 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10913287680 in words is "ten billion, nine hundred thirteen million, two hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 157889 315778 473667 631556 789445 947334 1263112 1421001 1578890 1894668 2368335 2526224 2842002 3157780 3789336 4263003 4736670 5052448 5684004 6315560 7105005 7578672 8526006 9473340 10104896 11368008 12631120 14210010 15157344 17052012 18946680 20209792 21315015 22736016 25262240 28420020 30314688 34104024 37893360 40419584 42630030 45472032 50524480 56840040 60629376 68208048 75786720 80839168 85260060 90944064 101048960 113680080 121258752 136416096 151573440 170520120 181888128 202097920 227360160 242517504 272832192 303146880 341040240 363776256 404195840 454720320 545664384 606293760 682080480 727552512 909440640 1091328768 1212587520 1364160960 1818881280 2182657536 2728321920 3637762560 5456643840 10913287680