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107782648441 = 1371854313669
BaseRepresentation
bin110010001100001011…
…0001011001001111001
3101022012120001211212021
41210120112023021321
53231214324222231
6121303100114441
710533645252436
oct1443026131171
9338176054767
10107782648441
114178a54a066
1218a80235a21
13a219001770
14530690ab8d
152c0c5ee811
hex191858b279

107782648441 has 16 divisors (see below), whose sum is σ = 117730851840. Its totient is φ = 98071727040.

The previous prime is 107782648343. The next prime is 107782648459. The reversal of 107782648441 is 144846287701.

It is a cyclic number.

It is not a de Polignac number, because 107782648441 - 211 = 107782646393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107782448441) 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 15 ways as a sum of consecutive naturals, for example, 7878355 + ... + 7892023.

It is an arithmetic number, because the mean of its divisors is an integer number (7358178240).

Almost surely, 2107782648441 is an apocalyptic number.

It is an amenable number.

107782648441 is a deficient number, since it is larger than the sum of its proper divisors (9948203399).

107782648441 is a wasteful number, since it uses less digits than its factorization.

107782648441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22296.

The product of its (nonzero) digits is 2408448, while the sum is 52.

The spelling of 107782648441 in words is "one hundred seven billion, seven hundred eighty-two million, six hundred forty-eight thousand, four hundred forty-one".

Divisors: 1 13 71 923 8543 13669 111059 177697 606553 970499 7885189 12616487 116774267 1518065471 8290972957 107782648441