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2801680716 = 2231741477127
BaseRepresentation
bin1010011011111110…
…0100000101001100
321020020212010102110
42212333210011030
521214212240331
61142001424020
7126266615232
oct24677440514
97206763373
102801680716
11120852620a
1266233b010
13358598253
141c8140952
15115e6c946
hexa6fe414c

2801680716 has 96 divisors (see below), whose sum is σ = 7242504192. Its totient is φ = 839157760.

The previous prime is 2801680711. The next prime is 2801680723. The reversal of 2801680716 is 6170861082.

2801680716 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2801680711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389545 + ... + 396671.

It is an arithmetic number, because the mean of its divisors is an integer number (75442752).

Almost surely, 22801680716 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 2801680716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621252096).

2801680716 is an abundant number, since it is smaller than the sum of its proper divisors (4440823476).

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

2801680716 is a wasteful number, since it uses less digits than its factorization.

2801680716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7239 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 2801680716 is about 52930.9051122310. The cubic root of 2801680716 is about 1409.7417020943.

The spelling of 2801680716 in words is "two billion, eight hundred one million, six hundred eighty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 41 47 51 68 82 94 102 123 141 164 188 204 246 282 492 564 697 799 1394 1598 1927 2091 2397 2788 3196 3854 4182 4794 5781 7127 7708 8364 9588 11562 14254 21381 23124 28508 32759 42762 65518 85524 98277 121159 131036 196554 242318 292207 334969 363477 393108 484636 584414 669938 726954 876621 1004907 1168828 1339876 1453908 1753242 2009814 3506484 4019628 4967519 5694473 9935038 11388946 13733729 14902557 17083419 19870076 22777892 27467458 29805114 34166838 41201187 54934916 59610228 68333676 82402374 164804748 233473393 466946786 700420179 933893572 1400840358 2801680716