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114724544670 = 23351939315689
BaseRepresentation
bin110101011011000011…
…1011010000010011110
3101222010100110201021000
41222312013122002132
53334423440412140
6124412001051130
711200660353111
oct1526607320236
9358110421230
10114724544670
114472201848a
121a299026aa6
13aa84272878
1457a4860578
152eb6c8ca30
hex1ab61da09e

114724544670 has 128 divisors (see below), whose sum is σ = 322172352000. Its totient is φ = 28970576640.

The previous prime is 114724544657. The next prime is 114724544699. The reversal of 114724544670 is 76445427411.

114724544670 is a `hidden beast` number, since 1 + 1 + 47 + 2 + 4 + 544 + 67 + 0 = 666.

It is a super-2 number, since 2×1147245446702 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20163186 + ... + 20168874.

It is an arithmetic number, because the mean of its divisors is an integer number (2516971500).

Almost surely, 2114724544670 is an apocalyptic number.

114724544670 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 114724544670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161086176000).

114724544670 is an abundant number, since it is smaller than the sum of its proper divisors (207447807330).

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

114724544670 is a wasteful number, since it uses less digits than its factorization.

114724544670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 114724544670 in words is "one hundred fourteen billion, seven hundred twenty-four million, five hundred forty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 3931 5130 5689 7862 11378 11793 17067 19655 23586 28445 34134 35379 39310 51201 56890 58965 70758 74689 85335 102402 106137 108091 117930 149378 153603 170670 176895 212274 216182 224067 256005 307206 324273 353790 373445 448134 512010 530685 540455 648546 672201 746890 768015 972819 1061370 1080910 1120335 1344402 1536030 1621365 1945638 2016603 2240670 2918457 3242730 3361005 4033206 4864095 5836914 6722010 9728190 10083015 14592285 20166030 22363459 29184570 44726918 67090377 111817295 134180754 201271131 223634590 335451885 402542262 424905721 603813393 670903770 849811442 1006355655 1207626786 1274717163 2012711310 2124528605 2549434326 3019066965 3824151489 4249057210 6038133930 6373585815 7648302978 11472454467 12747171630 19120757445 22944908934 38241514890 57362272335 114724544670