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145655195904 = 283279512
BaseRepresentation
bin1000011110100110111…
…0011110100100000000
3111220221221221121010100
42013221232132210000
54341300212232104
6150525120202400
713344320510631
oct2075156364400
9456857847110
10145655195904
1156854619569
122428b769400
13109733a386a
14709a723888
153bc744a139
hex21e9b9e900

145655195904 has 81 divisors (see below), whose sum is σ = 420012662979. Its totient is φ = 48545625600.

The previous prime is 145655195899. The next prime is 145655195911. The reversal of 145655195904 is 409591556541.

The square root of 145655195904 is 381648.

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

145655195904 is a `hidden beast` number, since 1 + 45 + 6 + 5 + 5 + 1 + 9 + 590 + 4 = 666.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 18315129 + ... + 18323079.

Almost surely, 2145655195904 is an apocalyptic number.

145655195904 is the 381648-th square number.

It is an amenable number.

145655195904 is an abundant number, since it is smaller than the sum of its proper divisors (274357467075).

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

145655195904 is an frugal number, since it uses more digits than its factorization.

145655195904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 145655195904 in words is "one hundred forty-five billion, six hundred fifty-five million, one hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 7951 15902 23853 31804 47706 63608 71559 95412 127216 143118 190824 254432 286236 381648 508864 572472 763296 1017728 1144944 1526592 2035456 2289888 3053184 4579776 6106368 9159552 18319104 63218401 126436802 189655203 252873604 379310406 505747208 568965609 758620812 1011494416 1137931218 1517241624 2022988832 2275862436 3034483248 4045977664 4551724872 6068966496 8091955328 9103449744 12137932992 16183910656 18206899488 24275865984 36413798976 48551731968 72827597952 145655195904