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1073830008790 = 2571137252114951
BaseRepresentation
bin11111010000001010100…
…00011001011111010110
310210122202001121110201001
433220011100121133112
5120043200440240130
62141151035453514
7140403336321040
oct17500520313726
93718661543631
101073830008790
11384455055290
121541475b729a
137a353056586
1439d8b9a2a90
151cded21e6ca
hexfa054197d6

1073830008790 has 128 divisors (see below), whose sum is σ = 2476120098816. Its totient is φ = 325503360000.

The previous prime is 1073830008749. The next prime is 1073830008799. The reversal of 1073830008790 is 978000383701.

It is a happy number.

1073830008790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10738300087902 (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 1073830008790.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073830008799) 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, 71815815 + ... + 71830765.

It is an arithmetic number, because the mean of its divisors is an integer number (19344688272).

Almost surely, 21073830008790 is an apocalyptic number.

1073830008790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1073830008790 is an abundant number, since it is smaller than the sum of its proper divisors (1402290090026).

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

1073830008790 is a wasteful number, since it uses less digits than its factorization.

1073830008790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17534.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 1073830008790 in words is "one trillion, seventy-three billion, eight hundred thirty million, eight thousand, seven hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 37 55 70 74 77 110 154 185 259 370 385 407 518 770 814 1295 2035 2521 2590 2849 4070 5042 5698 12605 14245 14951 17647 25210 27731 28490 29902 35294 55462 74755 88235 93277 104657 138655 149510 164461 176470 186554 194117 209314 277310 328922 388234 466385 523285 553187 652939 822305 932770 970585 1026047 1046570 1106374 1151227 1305878 1644610 1941170 2052094 2302454 2765935 3264695 3872309 5130235 5531870 5756135 6085057 6529390 7182329 7744618 10260470 11512270 12170114 14364658 19361545 30425285 35911645 37691471 38723090 42595399 60850570 71823290 75382942 85190798 188457355 212976995 263840297 376914710 414606181 425953990 527680594 829212362 1319201485 1394584427 2073030905 2638402970 2789168854 2902243267 4146061810 5804486534 6972922135 9762090989 13945844270 14511216335 15340428697 19524181978 29022432670 30680857394 48810454945 76702143485 97620909890 107383000879 153404286970 214766001758 536915004395 1073830008790