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2894795064 = 233373595333
BaseRepresentation
bin1010110010001011…
…0001000100111000
321110202001211022000
42230202301010320
521412031420224
61155125301000
7131510231520
oct25442610470
97422054260
102894795064
111256044417
12689564760
1337196a8b5
141d665c680
1511e2120c9
hexac8b1138

2894795064 has 128 divisors (see below), whose sum is σ = 9217152000. Its totient is φ = 824625792.

The previous prime is 2894795053. The next prime is 2894795081. The reversal of 2894795064 is 4605974982.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2894795064.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 540142 + ... + 545474.

It is an arithmetic number, because the mean of its divisors is an integer number (72009000).

Almost surely, 22894795064 is an apocalyptic number.

2894795064 is a gapful number since it is divisible by the number (24) 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 2894795064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576000).

2894795064 is an abundant number, since it is smaller than the sum of its proper divisors (6322356936).

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

2894795064 is a wasteful number, since it uses less digits than its factorization.

2894795064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2894795064 is about 53803.2997501083. The cubic root of 2894795064 is about 1425.1894795133.

The spelling of 2894795064 in words is "two billion, eight hundred ninety-four million, seven hundred ninety-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 359 378 504 718 756 1077 1436 1512 2154 2513 2872 3231 4308 5026 5333 6462 7539 8616 9693 10052 10666 12924 15078 15999 19386 20104 21332 22617 25848 30156 31998 37331 38772 42664 45234 47997 60312 63996 67851 74662 77544 90468 95994 111993 127992 135702 143991 149324 180936 191988 223986 271404 287982 298648 335979 383976 447972 542808 575964 671958 895944 1007937 1151928 1343916 1914547 2015874 2687832 3829094 4031748 5743641 7658188 8063496 11487282 13401829 15316376 17230923 22974564 26803658 34461846 40205487 45949128 51692769 53607316 68923692 80410974 103385538 107214632 120616461 137847384 160821948 206771076 241232922 321643896 361849383 413542152 482465844 723698766 964931688 1447397532 2894795064