Search a number
-
+
6890090496 = 21232324379
BaseRepresentation
bin1100110101010111…
…00111000000000000
3122210011220212021220
412122223213000000
5103102330343441
63055410315040
7332512542252
oct63253470000
918704825256
106890090496
112a16304a73
121403588a80
1385a602b33
14495109cd2
152a4d58466
hex19aae7000

6890090496 has 104 divisors (see below), whose sum is σ = 19170871680. Its totient is φ = 2196750336.

The previous prime is 6890090491. The next prime is 6890090507. The reversal of 6890090496 is 6940900986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6890090491) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 270435 + ... + 294813.

Almost surely, 26890090496 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 6890090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585435840).

6890090496 is an abundant number, since it is smaller than the sum of its proper divisors (12280781184).

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

6890090496 is a wasteful number, since it uses less digits than its factorization.

6890090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24429 (or 24407 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 6890090496 is about 83006.5689930622. The cubic root of 6890090496 is about 1902.8664485910.

The spelling of 6890090496 in words is "six billion, eight hundred ninety million, ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4096 4416 5888 6144 8832 11776 12288 17664 23552 24379 35328 47104 48758 70656 73137 94208 97516 141312 146274 195032 282624 292548 390064 560717 585096 780128 1121434 1170192 1560256 1682151 2242868 2340384 3120512 3364302 4485736 4680768 6241024 6728604 8971472 9361536 12482048 13457208 17942944 18723072 24964096 26914416 35885888 37446144 49928192 53828832 71771776 74892288 99856384 107657664 143543552 149784576 215315328 287087104 299569152 430630656 574174208 861261312 1148348416 1722522624 2296696832 3445045248 6890090496