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8468421504 = 27385725733
BaseRepresentation
bin1111110001100000…
…11101101110000000
3210212011211101101220
413320300131232000
5114320403442004
63520151355040
7416566252344
oct77060355600
923764741356
108468421504
113656226464
121784082a80
13a4c5bc8ca
145a499d624
153486c6dd9
hex1f8c1db80

8468421504 has 64 divisors (see below), whose sum is σ = 22521367440. Its totient is φ = 2819403776.

The previous prime is 8468421503. The next prime is 8468421529. The reversal of 8468421504 is 4051248648.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8468421503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316222 + ... + 341954.

Almost surely, 28468421504 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 8468421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260683720).

8468421504 is an abundant number, since it is smaller than the sum of its proper divisors (14052945936).

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

8468421504 is a wasteful number, since it uses less digits than its factorization.

8468421504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26607 (or 26595 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 8468421504 is about 92024.0267756199. The cubic root of 8468421504 is about 2038.2971102426.

The spelling of 8468421504 in words is "eight billion, four hundred sixty-eight million, four hundred twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 857 1714 2571 3428 5142 6856 10284 13712 20568 25733 27424 41136 51466 54848 77199 82272 102932 109696 154398 164544 205864 308796 329088 411728 617592 823456 1235184 1646912 2470368 3293824 4940736 9881472 22053181 44106362 66159543 88212724 132319086 176425448 264638172 352850896 529276344 705701792 1058552688 1411403584 2117105376 2822807168 4234210752 8468421504