Search a number
-
+
8898373664 = 2519412691327
BaseRepresentation
bin10000100100110001…
…00110100000100000
3211222010212012212222
420102120212200200
5121210440424124
64030551010212
7433336633235
oct102230464040
924863765788
108898373664
113856999924
121884069968
13aba6ba47b
14605b1d78c
1537130525e
hex212626820

8898373664 has 96 divisors (see below), whose sum is σ = 18974995200. Its totient is φ = 4093839360.

The previous prime is 8898373661. The next prime is 8898373681. The reversal of 8898373664 is 4663738988.

It is a junction number, because it is equal to n+sod(n) for n = 8898373597 and 8898373606.

It is not an unprimeable number, because it can be changed into a prime (8898373661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6704969 + ... + 6706295.

It is an arithmetic number, because the mean of its divisors is an integer number (197656200).

Almost surely, 28898373664 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 8898373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9487497600).

8898373664 is an abundant number, since it is smaller than the sum of its proper divisors (10076621536).

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

8898373664 is a wasteful number, since it uses less digits than its factorization.

8898373664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1658 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 62.

The square root of 8898373664 is about 94331.1913631965. The cubic root of 8898373664 is about 2072.2248604372.

The spelling of 8898373664 in words is "eight billion, eight hundred ninety-eight million, three hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 269 304 328 538 608 656 779 1076 1312 1327 1558 2152 2654 3116 4304 5111 5308 6232 8608 10222 10616 11029 12464 20444 21232 22058 24928 25213 40888 42464 44116 50426 54407 81776 88232 100852 108814 163552 176464 201704 209551 217628 352928 356963 403408 419102 435256 713926 806816 838204 870512 1033733 1427852 1676408 1741024 2067466 2855704 3352816 4134932 5711408 6705632 6782297 8269864 11422816 13564594 14635483 16539728 27129188 29270966 33079456 54258376 58541932 108516752 117083864 217033504 234167728 278074177 468335456 556148354 1112296708 2224593416 4449186832 8898373664