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10668022031655 = 32515717317948761
BaseRepresentation
bin1001101100111101011110…
…1010011110010100100111
31101202212000210112112201100
42123033113222132110213
52344241102120003110
634404453251331143
72150511350050362
oct233172752362447
941685023475640
1010668022031655
11344331235a7aa
12124364abb0ab3
135c4cb44cb0b1
1428c4994270d9
15137776911bc0
hex9b3d7a9e527

10668022031655 has 96 divisors (see below), whose sum is σ = 18821531252160. Its totient is φ = 5589178583040.

The previous prime is 10668022031651. The next prime is 10668022031657. The reversal of 10668022031655 is 55613022086601.

10668022031655 is a `hidden beast` number, since 1 + 0 + 6 + 68 + 0 + 220 + 316 + 55 = 666.

It is not a de Polignac number, because 10668022031655 - 22 = 10668022031651 is a prime.

It is a super-2 number, since 2×106680220316552 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10668022031655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10668022031651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218757475 + ... + 218806235.

It is an arithmetic number, because the mean of its divisors is an integer number (196057617210).

Almost surely, 210668022031655 is an apocalyptic number.

10668022031655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10668022031655 is a deficient number, since it is larger than the sum of its proper divisors (8153509220505).

10668022031655 is a wasteful number, since it uses less digits than its factorization.

10668022031655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49281 (or 49278 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10668022031655 in words is "ten trillion, six hundred sixty-eight billion, twenty-two million, thirty-one thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 45 157 173 179 471 519 537 785 865 895 1413 1557 1611 2355 2595 2685 7065 7785 8055 27161 28103 30967 48761 81483 84309 92901 135805 140515 146283 154835 243805 244449 252927 278703 407415 421545 438849 464505 731415 1222245 1264635 1393515 2194245 4861819 7655477 8435653 8728219 14585457 22966431 24309095 25306959 26184657 38277385 42178265 43641095 43756371 68899293 72927285 75920877 78553971 114832155 126534795 130923285 218781855 344496465 379604385 392769855 1324397521 1370330383 1509981887 3973192563 4110991149 4529945661 6621987605 6851651915 7549909435 11919577689 12332973447 13589836983 19865962815 20554955745 22649728305 59597888445 61664867235 67949184915 237067156259 711201468777 1185335781295 2133604406331 3556007343885 10668022031655