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12274055778990 = 23537197419133963
BaseRepresentation
bin1011001010011100011010…
…1111000001001010101110
31121110101111001101011000010
42302213012233001022232
53102044231234411430
642034342352314050
72404525354466505
oct262470657011256
947411431334003
1012274055778990
113a02441559935
121462964542926
136b05914a7715
143060d31c983c
15164422a97cb0
hexb29c6bc12ae

12274055778990 has 128 divisors (see below), whose sum is σ = 30480260912640. Its totient is φ = 3160868755968.

The previous prime is 12274055778923. The next prime is 12274055779021. The reversal of 12274055778990 is 9987755047221.

12274055778990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91555749 + ... + 91689711.

It is an arithmetic number, because the mean of its divisors is an integer number (238127038380).

Almost surely, 212274055778990 is an apocalyptic number.

12274055778990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12274055778990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240130456320).

12274055778990 is an abundant number, since it is smaller than the sum of its proper divisors (18206205133650).

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

12274055778990 is a wasteful number, since it uses less digits than its factorization.

12274055778990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134626.

The product of its (nonzero) digits is 88905600, while the sum is 66.

The spelling of 12274055778990 in words is "twelve trillion, two hundred seventy-four billion, fifty-five million, seven hundred seventy-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 197 222 370 394 419 555 591 838 985 1110 1182 1257 1970 2095 2514 2955 4190 5910 6285 7289 12570 14578 15503 21867 31006 36445 43734 46509 72890 77515 82543 93018 109335 133963 155030 165086 218670 232545 247629 267926 401889 412715 465090 495258 669815 803778 825430 1238145 1339630 2009445 2476290 3054091 4018890 4956631 6108182 9162273 9913262 14869893 15270455 18324546 24783155 26390711 29739786 30540910 45811365 49566310 52781422 56130497 74349465 79172133 91622730 112260994 131953555 148698930 158344266 168391491 263907110 280652485 336782982 395860665 561304970 791721330 841957455 976456307 1683914910 1952912614 2076828389 2929368921 4153656778 4882281535 5858737842 6230485167 9764563070 10384141945 11057707909 12460970334 14646844605 20768283890 22115415818 29293689210 31152425835 33173123727 55288539545 62304851670 66346247454 110577079090 165865618635 331731237270 409135192633 818270385266 1227405577899 2045675963165 2454811155798 4091351926330 6137027889495 12274055778990