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2081462768 = 2472111912703
BaseRepresentation
bin111110000010000…
…1001100111110000
312101001122021010122
41330010021213300
513230323302033
6542312545412
7102403066400
oct17404114760
95331567118
102081462768
11978a27870
124a10b2268
132722ca498
1415a622800
15c2b04a98
hex7c1099f0

2081462768 has 120 divisors (see below), whose sum is σ = 5387512320. Its totient is φ = 768216960.

The previous prime is 2081462743. The next prime is 2081462807. The reversal of 2081462768 is 8672641802.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157505 + ... + 170207.

It is an arithmetic number, because the mean of its divisors is an integer number (44895936).

Almost surely, 22081462768 is an apocalyptic number.

2081462768 is a gapful number since it is divisible by the number (28) 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 2081462768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693756160).

2081462768 is an abundant number, since it is smaller than the sum of its proper divisors (3306049552).

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

2081462768 is a wasteful number, since it uses less digits than its factorization.

2081462768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12755 (or 12742 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 2081462768 is about 45623.0508405565. The cubic root of 2081462768 is about 1276.8000243665.

The spelling of 2081462768 in words is "two billion, eighty-one million, four hundred sixty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 49 56 76 77 88 98 112 133 152 154 176 196 209 266 304 308 392 418 532 539 616 784 836 931 1064 1078 1232 1463 1672 1862 2128 2156 2926 3344 3724 4312 5852 7448 8624 10241 11704 12703 14896 20482 23408 25406 40964 50812 81928 88921 101624 139733 163856 177842 203248 241357 279466 355684 482714 558932 622447 711368 965428 978131 1117864 1244894 1422736 1689499 1930856 1956262 2235728 2489788 2654927 3378998 3861712 3912524 4979576 5309854 6757996 6846917 7825048 9959152 10619708 11826493 13515992 13693834 15650096 18584489 21239416 23652986 27031984 27387668 37168978 42478832 47305972 54775336 74337956 94611944 109550672 130091423 148675912 189223888 260182846 297351824 520365692 1040731384 2081462768