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10717401520 = 2457222911939
BaseRepresentation
bin10011111101100111…
…01001000110110000
31000122220200102000001
421332303221012300
5133422123322040
64531251035344
7526405260400
oct117663510660
930586612001
1010717401520
1145aa76a431
1220b129bb54
13101a510307
1473954a800
1542ad6b59a
hex27ece91b0

10717401520 has 120 divisors (see below), whose sum is σ = 29115212400. Its totient is φ = 3658185216.

The previous prime is 10717401509. The next prime is 10717401521. The reversal of 10717401520 is 2510471701.

It is a super-2 number, since 2×107174015202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10717401521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891711 + ... + 903649.

It is an arithmetic number, because the mean of its divisors is an integer number (242626770).

Almost surely, 210717401520 is an apocalyptic number.

10717401520 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 10717401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14557606200).

10717401520 is an abundant number, since it is smaller than the sum of its proper divisors (18397810880).

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

10717401520 is a wasteful number, since it uses less digits than its factorization.

10717401520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12195 (or 12182 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The spelling of 10717401520 in words is "ten billion, seven hundred seventeen million, four hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 229 245 280 392 458 490 560 784 916 980 1145 1603 1832 1960 2290 3206 3664 3920 4580 6412 8015 9160 11221 11939 12824 16030 18320 22442 23878 25648 32060 44884 47756 56105 59695 64120 83573 89768 95512 112210 119390 128240 167146 179536 191024 224420 238780 334292 417865 448840 477560 585011 668584 835730 897680 955120 1170022 1337168 1671460 2340044 2734031 2925055 3342920 4680088 5468062 5850110 6685840 9360176 10936124 11700220 13670155 19138217 21872248 23400440 27340310 38276434 43744496 46800880 54680620 76552868 95691085 109361240 133967519 153105736 191382170 218722480 267935038 306211472 382764340 535870076 669837595 765528680 1071740152 1339675190 1531057360 2143480304 2679350380 5358700760 10717401520