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109365135616 = 2811218792
BaseRepresentation
bin110010111011010101…
…0111000100100000000
3101110021211210112011101
41211312222320210000
53242434433314431
6122124110224144
710621112212612
oct1456652704400
9343254715141
10109365135616
114242184a100
12192421b5054
13a40bb151c9
145416b62db2
152ca14de961
hex1976ab8900

109365135616 has 81 divisors (see below), whose sum is σ = 240080724723. Its totient is φ = 49684968960.

The previous prime is 109365135601. The next prime is 109365135623. The reversal of 109365135616 is 616531563901.

The square root of 109365135616 is 330704.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58202965 + ... + 58204843.

Almost surely, 2109365135616 is an apocalyptic number.

109365135616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109365135616 is the 330704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109365135616

109365135616 is an abundant number, since it is smaller than the sum of its proper divisors (130715589107).

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

109365135616 is an frugal number, since it uses more digits than its factorization.

109365135616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 46.

The spelling of 109365135616 in words is "one hundred nine billion, three hundred sixty-five million, one hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1879 1936 2816 3758 3872 7516 7744 15032 15488 20669 30064 30976 41338 60128 82676 120256 165352 227359 240512 330704 454718 481024 661408 909436 1322816 1818872 2645632 3530641 3637744 5291264 7061282 7275488 14122564 14550976 28245128 29101952 38837051 56490256 58203904 77674102 112980512 155348204 225961024 310696408 427207561 451922048 621392816 854415122 903844096 1242785632 1708830244 2485571264 3417660488 4971142528 6835320976 9942285056 13670641952 27341283904 54682567808 109365135616