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8139662700 = 223521319109847
BaseRepresentation
bin1111001010010100…
…10110010101101100
3210000021012201002220
413211022112111230
5113132223201300
63423405115340
7405464664021
oct74512262554
923007181086
108139662700
1134a769a074
1216b1b58b50
139c9462a80
14573061548
153298d6da0
hex1e529656c

8139662700 has 144 divisors (see below), whose sum is σ = 26697457920. Its totient is φ = 1898138880.

The previous prime is 8139662677. The next prime is 8139662723. The reversal of 8139662700 is 72669318.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8139662677) and next prime (8139662723).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19177 + ... + 129023.

Almost surely, 28139662700 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 8139662700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348728960).

8139662700 is an abundant number, since it is smaller than the sum of its proper divisors (18557795220).

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

8139662700 is a wasteful number, since it uses less digits than its factorization.

8139662700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109896 (or 109889 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 8139662700 is about 90220.0792506857. The cubic root of 8139662700 is about 2011.5714796451.

The spelling of 8139662700 in words is "eight billion, one hundred thirty-nine million, six hundred sixty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 285 300 325 380 390 475 494 570 650 741 780 950 975 988 1140 1235 1300 1425 1482 1900 1950 2470 2850 2964 3705 3900 4940 5700 6175 7410 12350 14820 18525 24700 37050 74100 109847 219694 329541 439388 549235 659082 1098470 1318164 1428011 1647705 2087093 2196940 2746175 2856022 3295410 4174186 4284033 5492350 5712044 6261279 6590820 7140055 8238525 8348372 8568066 10435465 10984700 12522558 14280110 16477050 17136132 20870930 21420165 25045116 27132209 28560220 31306395 32954100 35700275 41741860 42840330 52177325 54264418 62612790 71400550 81396627 85680660 104354650 107100825 108528836 125225580 135661045 142801100 156531975 162793254 208709300 214201650 271322090 313063950 325586508 406983135 428403300 542644180 626127900 678305225 813966270 1356610450 1627932540 2034915675 2713220900 4069831350 8139662700