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107064224040 = 23351951799067
BaseRepresentation
bin110001110110110000…
…1100110100100101000
3101020100111020002212010
41203231201212210220
53223231420132130
6121103513515520
710510102613604
oct1435541464450
9336314202763
10107064224040
1141450a66194
12188bb712ba0
13a133211177
145279338504
152bb94dd0b0
hex18ed866928

107064224040 has 128 divisors (see below), whose sum is σ = 338200128000. Its totient is φ = 27039598848.

The previous prime is 107064223991. The next prime is 107064224041. The reversal of 107064224040 is 40422460701.

It is a super-2 number, since 2×1070642240402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107064223989 and 107064224007.

It is not an unprimeable number, because it can be changed into a prime (107064224041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11803587 + ... + 11812653.

It is an arithmetic number, because the mean of its divisors is an integer number (2642188500).

Almost surely, 2107064224040 is an apocalyptic number.

107064224040 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 107064224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169100064000).

107064224040 is an abundant number, since it is smaller than the sum of its proper divisors (231135903960).

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

107064224040 is a wasteful number, since it uses less digits than its factorization.

107064224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14279 (or 14275 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 107064224040 its reverse (40422460701), we get a palindrome (147486684741).

The spelling of 107064224040 in words is "one hundred seven billion, sixty-four million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 5179 9067 10358 15537 18134 20716 25895 27201 31074 36268 41432 45335 51790 54402 62148 72536 77685 90670 98401 103580 108804 124296 136005 155370 172273 181340 196802 207160 217608 272010 295203 310740 344546 362680 393604 492005 516819 544020 590406 621480 689092 787208 861365 984010 1033638 1088040 1180812 1378184 1476015 1722730 1968020 2067276 2361624 2584095 2952030 3445460 3936040 4134552 5168190 5904060 6890920 10336380 11808120 20672760 46957993 93915986 140873979 187831972 234789965 281747958 375663944 469579930 563495916 704369895 892201867 939159860 1126991832 1408739790 1784403734 1878319720 2676605601 2817479580 3568807468 4461009335 5353211202 5634959160 7137614936 8922018670 10706422404 13383028005 17844037340 21412844808 26766056010 35688074680 53532112020 107064224040