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2159307696 = 243721370621
BaseRepresentation
bin1000000010110100…
…0110101110110000
312120111010012022010
42000231012232300
513410240321241
6554133242520
7104336545500
oct20055065660
95514105263
102159307696
11a08966917
12503193440
13285484980
14166ac7a00
15c987ed16
hex80b46bb0

2159307696 has 120 divisors (see below), whose sum is σ = 6988188144. Its totient is φ = 569479680.

The previous prime is 2159307653. The next prime is 2159307749. The reversal of 2159307696 is 6967039512.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4735 + ... + 65886.

Almost surely, 22159307696 is an apocalyptic number.

2159307696 is a gapful number since it is divisible by the number (26) 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 2159307696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494094072).

2159307696 is an abundant number, since it is smaller than the sum of its proper divisors (4828880448).

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

2159307696 is a wasteful number, since it uses less digits than its factorization.

2159307696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70659 (or 70646 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 2159307696 is about 46468.3515524276. The cubic root of 2159307696 is about 1292.5226952106.

The spelling of 2159307696 in words is "two billion, one hundred fifty-nine million, three hundred seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 70621 141242 211863 282484 423726 494347 564968 847452 918073 988694 1129936 1483041 1694904 1836146 1977388 2754219 2966082 3389808 3460429 3672292 3954776 5508438 5932164 6426511 6920858 7344584 7909552 10381287 11016876 11864328 12853022 13841716 14689168 19279533 20762574 22033752 23728656 25706044 27683432 38559066 41525148 44067504 44985577 51412088 55366864 77118132 83050296 89971154 102824176 134956731 154236264 166100592 179942308 269913462 308472528 359884616 539826924 719769232 1079653848 2159307696