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8139692720 = 2451973109673
BaseRepresentation
bin1111001010010100…
…11101101010110000
3210000021021020021202
413211022131222300
5113132230131340
63423405510332
7405465150365
oct74512355260
923007236252
108139692720
1134a770a685
1216b1b723a8
139c9473633
1457306c46c
153298e0c15
hex1e529dab0

8139692720 has 160 divisors (see below), whose sum is σ = 20409259200. Its totient is φ = 3009871872.

The previous prime is 8139692719. The next prime is 8139692747. The reversal of 8139692720 is 272969318.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 12094304 + ... + 12094976.

It is an arithmetic number, because the mean of its divisors is an integer number (127557870).

Almost surely, 28139692720 is an apocalyptic number.

8139692720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8139692720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204629600).

8139692720 is an abundant number, since it is smaller than the sum of its proper divisors (12269566480).

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

8139692720 is a wasteful number, since it uses less digits than its factorization.

8139692720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 8139692720 is about 90220.2456214790. The cubic root of 8139692720 is about 2011.5739526101.

The spelling of 8139692720 in words is "eight billion, one hundred thirty-nine million, six hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 73 76 80 95 109 146 152 190 218 292 304 365 380 436 545 584 673 730 760 872 1090 1168 1346 1387 1460 1520 1744 2071 2180 2692 2774 2920 3365 4142 4360 5384 5548 5840 6730 6935 7957 8284 8720 10355 10768 11096 12787 13460 13870 15914 16568 20710 22192 25574 26920 27740 31828 33136 39785 41420 49129 51148 53840 55480 63656 63935 73357 79570 82840 98258 102296 110960 127312 127870 146714 151183 159140 165680 196516 204592 245645 255740 293428 302366 318280 366785 393032 491290 511480 586856 604732 636560 733570 755915 786064 933451 982580 1022960 1173712 1209464 1393783 1467140 1511830 1866902 1965160 2418928 2787566 2934280 3023660 3733804 3930320 4667255 5355061 5575132 5868560 6047320 6968915 7467608 9334510 10710122 11150264 12094640 13937830 14935216 18669020 21420244 22300528 26775305 27875660 37338040 42840488 53550610 55751320 74676080 85680976 101746159 107101220 111502640 203492318 214202440 406984636 428404880 508730795 813969272 1017461590 1627938544 2034923180 4069846360 8139692720