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4641316896 = 2531572931051
BaseRepresentation
bin1000101001010010…
…01110000000100000
3102222110110022211210
410110221032000200
534001134120041
62044315310120
7223005354066
oct42451160040
912873408753
104641316896
111a719a2097
12a9644b340
1358c755378
143205b4036
151c2705016
hex114a4e020

4641316896 has 96 divisors (see below), whose sum is σ = 12314611008. Its totient is φ = 1530547200.

The previous prime is 4641316877. The next prime is 4641316921. The reversal of 4641316896 is 6986131464.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4415571 + ... + 4416621.

It is an arithmetic number, because the mean of its divisors is an integer number (128277198).

Almost surely, 24641316896 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 4641316896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157305504).

4641316896 is an abundant number, since it is smaller than the sum of its proper divisors (7673294112).

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

4641316896 is a wasteful number, since it uses less digits than its factorization.

4641316896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1506 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 4641316896 is about 68127.2111274196. The cubic root of 4641316896 is about 1668.0679601269.

The spelling of 4641316896 in words is "four billion, six hundred forty-one million, three hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 293 314 471 586 628 879 942 1051 1172 1256 1758 1884 2102 2344 2512 3153 3516 3768 4204 4688 5024 6306 7032 7536 8408 9376 12612 14064 15072 16816 25224 28128 33632 46001 50448 92002 100896 138003 165007 184004 276006 307943 330014 368008 495021 552012 615886 660028 736016 923829 990042 1104024 1231772 1320056 1472032 1847658 1980084 2208048 2463544 2640112 3695316 3960168 4416096 4927088 5280224 7390632 7920336 9854176 14781264 15840672 29562528 48347051 96694102 145041153 193388204 290082306 386776408 580164612 773552816 1160329224 1547105632 2320658448 4641316896