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107243577564 = 22331607474941
BaseRepresentation
bin110001111100000110…
…1110010000011011100
3101020210222201012122020
41203320031302003130
53224113323440224
6121133402020140
710514411240304
oct1437015620334
9336728635566
10107243577564
1141533227142
121894b7a7650
13a161419a06
1452950a4604
152bca119c79
hex18f83720dc

107243577564 has 48 divisors (see below), whose sum is σ = 258733203456. Its totient is φ = 34537636800.

The previous prime is 107243577559. The next prime is 107243577569. The reversal of 107243577564 is 465775342701.

It is an interprime number because it is at equal distance from previous prime (107243577559) and next prime (107243577569).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107243577569) 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, 11667 + ... + 463274.

It is an arithmetic number, because the mean of its divisors is an integer number (5390275072).

Almost surely, 2107243577564 is an apocalyptic number.

It is an amenable number.

107243577564 is an abundant number, since it is smaller than the sum of its proper divisors (151489625892).

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

107243577564 is a wasteful number, since it uses less digits than its factorization.

107243577564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475586 (or 475584 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 107243577564 in words is "one hundred seven billion, two hundred forty-three million, five hundred seventy-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 607 1214 1821 2428 3642 7284 18817 37634 56451 75268 112902 225804 474941 949882 1424823 1899764 2849646 5699292 14723171 29446342 44169513 58892684 88339026 176678052 288289187 576578374 864867561 1153156748 1729735122 3459470244 8936964797 17873929594 26810894391 35747859188 53621788782 107243577564