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114766577664 = 2163583733
BaseRepresentation
bin110101011100010011…
…1110000000000000000
3101222020021120012200120
41222320213300000000
53340020220441124
6124420102020240
711202010546224
oct1527047600000
9358207505616
10114766577664
11447438174a2
121a2ab117680
13aa8cb9b86b
1457aa282784
152eba7e1d79
hex1ab89f0000

114766577664 has 68 divisors (see below), whose sum is σ = 306042396456. Its totient is φ = 38255460352.

The previous prime is 114766577659. The next prime is 114766577671. The reversal of 114766577664 is 466775667411.

It is a junction number, because it is equal to n+sod(n) for n = 114766577598 and 114766577607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95259 + ... + 488474.

Almost surely, 2114766577664 is an apocalyptic number.

It is an amenable number.

114766577664 is an abundant number, since it is smaller than the sum of its proper divisors (191275818792).

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

114766577664 is an frugal number, since it uses more digits than its factorization.

114766577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583768 (or 583738 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 60.

The spelling of 114766577664 in words is "one hundred fourteen billion, seven hundred sixty-six million, five hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 65536 98304 196608 583733 1167466 1751199 2334932 3502398 4669864 7004796 9339728 14009592 18679456 28019184 37358912 56038368 74717824 112076736 149435648 224153472 298871296 448306944 597742592 896613888 1195485184 1793227776 2390970368 3586455552 4781940736 7172911104 9563881472 14345822208 19127762944 28691644416 38255525888 57383288832 114766577664