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1054307327904 = 25331771780183
BaseRepresentation
bin11110101011110011001…
…11010001111110100000
310201210100111020112012000
433111321213101332200
5114233210133443104
62124201521004000
7136112501265045
oct17257147217640
93653314215160
101054307327904
11377147001176
121503b9483600
13785615222ac
1439058c4b1cc
151c65933b639
hexf5799d1fa0

1054307327904 has 96 divisors (see below), whose sum is σ = 3255949146240. Its totient is φ = 330763078656.

The previous prime is 1054307327869. The next prime is 1054307327933. The reversal of 1054307327904 is 4097237034501.

1054307327904 is a `hidden beast` number, since 1 + 0 + 543 + 0 + 7 + 32 + 79 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10543073279042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054307327904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35875404 + ... + 35904779.

It is an arithmetic number, because the mean of its divisors is an integer number (33916136940).

Almost surely, 21054307327904 is an apocalyptic number.

It is an amenable number.

1054307327904 is an abundant number, since it is smaller than the sum of its proper divisors (2201641818336).

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

1054307327904 is a wasteful number, since it uses less digits than its factorization.

1054307327904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71780219 (or 71780205 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1054307327904 in words is "one trillion, fifty-four billion, three hundred seven million, three hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 71780183 143560366 215340549 287120732 430681098 574241464 646021647 861362196 1148482928 1220263111 1292043294 1722724392 1938064941 2296965856 2440526222 2584086588 3445448784 3660789333 3876129882 4881052444 5168173176 6890897568 7321578666 7752259764 9762104888 10336346352 10982367999 14643157332 15504519528 19524209776 20672692704 21964735998 29286314664 31009039056 32947103997 39048419552 43929471996 58572629328 62018078112 65894207994 87858943992 117145258656 131788415988 175717887984 263576831976 351435775968 527153663952 1054307327904