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107262262744 = 23713293502861
BaseRepresentation
bin110001111100101010…
…1000011110111011000
3101020212021212111212221
41203321111003313120
53224133114401434
6121135310313424
710515026122120
oct1437125036730
9336767774787
10107262262744
114154282963a
1218955ab8874
13a16525c830
145297769c80
152bcbaab2b4
hex18f9543dd8

107262262744 has 64 divisors (see below), whose sum is σ = 248373599040. Its totient is φ = 42288514560.

The previous prime is 107262262733. The next prime is 107262262753. The reversal of 107262262744 is 447262262701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 107262262744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38127 + ... + 464734.

It is an arithmetic number, because the mean of its divisors is an integer number (3880837485).

Almost surely, 2107262262744 is an apocalyptic number.

107262262744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107262262744 is an abundant number, since it is smaller than the sum of its proper divisors (141111336296).

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

107262262744 is a wasteful number, since it uses less digits than its factorization.

107262262744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503180 (or 503176 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

Subtracting from 107262262744 its sum of digits (43), we obtain a palindrome (107262262701).

The spelling of 107262262744 in words is "one hundred seven billion, two hundred sixty-two million, two hundred sixty-two thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 293 364 586 728 1172 2051 2344 3809 4102 7618 8204 15236 16408 26663 30472 53326 106652 213304 502861 1005722 2011444 3520027 4022888 6537193 7040054 13074386 14080108 26148772 28160216 45760351 52297544 91520702 147338273 183041404 294676546 366082808 589353092 1031367911 1178706184 1915397549 2062735822 3830795098 4125471644 7661590196 8250943288 13407782843 15323180392 26815565686 53631131372 107262262744