Search a number
-
+
16925696000 = 2135316529
BaseRepresentation
bin11111100001101100…
…11010000000000000
31121200120200102222122
433300312122000000
5234130434233000
611435304223412
71136302020323
oct176066320000
947616612878
1016925696000
1171a6128a14
12334446ab68
1317997a8845
14b67c9a7ba
15690deb085
hex3f0d9a000

16925696000 has 112 divisors (see below), whose sum is σ = 42246514440. Its totient is φ = 6769868800.

The previous prime is 16925695999. The next prime is 16925696087. The reversal of 16925696000 is 69652961.

It can be written as a sum of positive squares in 4 ways, for example, as 8863092736 + 8062603264 = 94144^2 + 89792^2 .

It is an unprimeable number.

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, 1015736 + ... + 1032264.

Almost surely, 216925696000 is an apocalyptic number.

16925696000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16925696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123257220).

16925696000 is an abundant number, since it is smaller than the sum of its proper divisors (25320818440).

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

16925696000 is an frugal number, since it uses more digits than its factorization.

16925696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16570 (or 16536 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The spelling of 16925696000 in words is "sixteen billion, nine hundred twenty-five million, six hundred ninety-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 4096 5120 6400 8000 8192 10240 12800 16000 16529 20480 25600 32000 33058 40960 51200 64000 66116 82645 102400 128000 132232 165290 204800 256000 264464 330580 413225 512000 528928 661160 826450 1024000 1057856 1322320 1652900 2066125 2115712 2644640 3305800 4132250 4231424 5289280 6611600 8264500 8462848 10578560 13223200 16529000 16925696 21157120 26446400 33058000 33851392 42314240 52892800 66116000 67702784 84628480 105785600 132232000 135405568 169256960 211571200 264464000 338513920 423142400 528928000 677027840 846284800 1057856000 1692569600 2115712000 3385139200 4231424000 8462848000 16925696000