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145632377763 = 3347837391871
BaseRepresentation
bin1000011110100001011…
…1011011101110100011
3111220220101000022112000
42013220113123232203
54341223342042023
6150522543135043
713343622533505
oct2075027335643
9456811008460
10145632377763
11568427539a4
1224283ba4483
131096b7447c2
1470976a3d75
153bc543e243
hex21e85dbba3

145632377763 has 64 divisors (see below), whose sum is σ = 223417958400. Its totient is φ = 93700553760.

The previous prime is 145632377749. The next prime is 145632377773. The reversal of 145632377763 is 367773236541.

145632377763 is a `hidden beast` number, since 1 + 4 + 563 + 2 + 3 + 7 + 7 + 76 + 3 = 666.

It is not a de Polignac number, because 145632377763 - 216 = 145632312227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145632377773) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77835718 + ... + 77837588.

It is an arithmetic number, because the mean of its divisors is an integer number (3490905600).

Almost surely, 2145632377763 is an apocalyptic number.

145632377763 is a deficient number, since it is larger than the sum of its proper divisors (77785580637).

145632377763 is a wasteful number, since it uses less digits than its factorization.

145632377763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2743 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 54.

The spelling of 145632377763 in words is "one hundred forty-five billion, six hundred thirty-two million, three hundred seventy-seven thousand, seven hundred sixty-three".

Divisors: 1 3 9 27 47 83 141 249 423 739 747 1269 1871 2217 2241 3901 5613 6651 11703 16839 19953 34733 35109 50517 61337 87937 104199 105327 155293 184011 263811 312597 465879 552033 791433 937791 1382669 1397637 1656099 2374299 2882839 4148007 4192911 7298771 8648517 12444021 21896313 25945551 37332063 64985443 65688939 77836653 114761527 194956329 197066817 344284581 584868987 1032853743 1754606961 3098561229 5393791769 16181375307 48544125921 145632377763