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114526754055 = 32572431279511
BaseRepresentation
bin110101010101001010…
…0111001010100000111
3101221121120021220112200
41222222110321110013
53334022322112210
6124340213445543
711163036230100
oct1525224712407
9357546256480
10114526754055
114463040446a
121a2429408b3
13aa522b00bc
1457864953a7
152ea471d0c0
hex1aaa539507

114526754055 has 144 divisors (see below), whose sum is σ = 238179262464. Its totient is φ = 50729535360.

The previous prime is 114526753987. The next prime is 114526754063. The reversal of 114526754055 is 550457625411.

114526754055 is a `hidden beast` number, since 1 + 1 + 4 + 52 + 6 + 7 + 540 + 55 = 666.

It is not a de Polignac number, because 114526754055 - 221 = 114524656903 is a prime.

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 114526754055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12036750 + ... + 12046260.

It is an arithmetic number, because the mean of its divisors is an integer number (1654022656).

Almost surely, 2114526754055 is an apocalyptic number.

114526754055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114526754055 is an abundant number, since it is smaller than the sum of its proper divisors (123652508409).

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

114526754055 is a wasteful number, since it uses less digits than its factorization.

114526754055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 114526754055 in words is "one hundred fourteen billion, five hundred twenty-six million, seven hundred fifty-four thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 49 63 105 127 129 147 215 245 301 315 381 387 441 635 645 735 889 903 1143 1505 1905 1935 2107 2205 2667 2709 4445 4515 5461 5715 6223 6321 8001 9511 10535 13335 13545 16383 18669 18963 27305 28533 31115 31605 38227 40005 47555 49149 56007 66577 81915 85599 93345 94815 114681 142665 191135 199731 245745 267589 280035 332885 344043 408973 427995 466039 573405 599193 802767 998655 1207897 1226919 1337945 1398117 1720215 2044865 2330195 2408301 2862811 2995965 3623691 3680757 4013835 4194351 6039485 6134595 6990585 8455279 8588433 10871073 12041505 14314055 18118455 18403785 20039677 20971755 25365837 25765299 42276395 42942165 51939571 54355365 59186953 60119031 76097511 100198385 126829185 128826495 155818713 177560859 180357093 259697855 295934765 300595155 363576997 380487555 467456139 532682577 779093565 887804295 901785465 1090730991 1817884985 2337280695 2545038979 2663412885 3272192973 5453654955 7635116937 12725194895 16360964865 22905350811 38175584685 114526754055