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114677220952 = 23721923126141
BaseRepresentation
bin110101011001101001…
…0111000011001011000
3101222000001102102022201
41222303102320121120
53334324332032302
6124403150455544
711166544203100
oct1526322703130
9358001372281
10114677220952
11446a8335478
121a2852045b4
13aa77513678
14579c462200
152eb2a40c87
hex1ab34b8658

114677220952 has 144 divisors (see below), whose sum is σ = 272508390720. Its totient is φ = 45056995200.

The previous prime is 114677220887. The next prime is 114677221027. The reversal of 114677220952 is 259022776411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4373802 + ... + 4399942.

It is an arithmetic number, because the mean of its divisors is an integer number (1892419380).

Almost surely, 2114677220952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114677220952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136254195360).

114677220952 is an abundant number, since it is smaller than the sum of its proper divisors (157831169768).

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

114677220952 is a wasteful number, since it uses less digits than its factorization.

114677220952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26230 (or 26200 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 114677220952 in words is "one hundred fourteen billion, six hundred seventy-seven million, two hundred twenty thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 31 38 49 56 62 76 98 124 133 152 196 217 248 266 361 392 434 532 589 722 868 931 1064 1178 1444 1519 1736 1862 2356 2527 2888 3038 3724 4123 4712 5054 6076 7448 8246 10108 11191 12152 16492 17689 20216 22382 26141 28861 32984 35378 44764 52282 57722 70756 78337 89528 104564 115444 141512 156674 182987 209128 230888 313348 365974 496679 548359 626696 731948 810371 993358 1096718 1280909 1463896 1620742 1986716 2193436 2561818 3241484 3476753 3973432 4386872 5123636 5672597 6482968 6953506 9436901 10247272 11345194 13907012 15397049 18873802 22690388 24337271 27814024 30794098 37747604 39708179 45380776 48674542 61588196 66058307 75495208 79416358 97349084 107779343 123176392 132116614 158832716 194698168 215558686 264233228 292543931 317665432 431117372 462408149 528466456 585087862 754455401 862234744 924816298 1170175724 1508910802 1849632596 2047807517 2340351448 3017821604 3699265192 4095615034 6035643208 8191230068 14334652619 16382460136 28669305238 57338610476 114677220952