Search a number
-
+
8994029664 = 2532310738069
BaseRepresentation
bin10000110000001011…
…00000000001100000
3212012210212001020210
420120011200001200
5121404432422124
64044245134120
7435610663554
oct103005400140
925183761223
108994029664
1138a5993674
1218b00ba340
13b0446c959
146146dd864
153798eca29
hex218160060

8994029664 has 96 divisors (see below), whose sum is σ = 24866714880. Its totient is φ = 2840786432.

The previous prime is 8994029609. The next prime is 8994029713. The reversal of 8994029664 is 4669204998.

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

It is a congruent number.

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, 217222 + ... + 255290.

It is an arithmetic number, because the mean of its divisors is an integer number (259028280).

Almost surely, 28994029664 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 8994029664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12433357440).

8994029664 is an abundant number, since it is smaller than the sum of its proper divisors (15872685216).

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

8994029664 is a wasteful number, since it uses less digits than its factorization.

8994029664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38212 (or 38204 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The square root of 8994029664 is about 94836.8581512483. The cubic root of 8994029664 is about 2079.6237657766.

The spelling of 8994029664 in words is "eight billion, nine hundred ninety-four million, twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 107 138 184 214 276 321 368 428 552 642 736 856 1104 1284 1712 2208 2461 2568 3424 4922 5136 7383 9844 10272 14766 19688 29532 38069 39376 59064 76138 78752 114207 118128 152276 228414 236256 304552 456828 609104 875587 913656 1218208 1751174 1827312 2626761 3502348 3654624 4073383 5253522 7004696 8146766 10507044 12220149 14009392 16293532 21014088 24440298 28018784 32587064 42028176 48880596 65174128 84056352 93687809 97761192 130348256 187375618 195522384 281063427 374751236 391044768 562126854 749502472 1124253708 1499004944 2248507416 2998009888 4497014832 8994029664