Search a number
-
+
10097794000 = 245371395189
BaseRepresentation
bin10010110011110000…
…00001101111010000
3222001201210002021101
421121320001233100
5131140013402000
64345554434144
7505142555440
oct113170015720
928051702241
1010097794000
114311a3a0a8
121b59892954
13c4c03ab48
146bb13c120
153e1778e6a
hex259e01bd0

10097794000 has 160 divisors (see below), whose sum is σ = 28110700800. Its totient is φ = 3436531200.

The previous prime is 10097793989. The next prime is 10097794241. The reversal of 10097794000 is 49779001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1943406 + ... + 1948594.

It is an arithmetic number, because the mean of its divisors is an integer number (175691880).

Almost surely, 210097794000 is an apocalyptic number.

10097794000 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 10097794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055350400).

10097794000 is an abundant number, since it is smaller than the sum of its proper divisors (18012906800).

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

10097794000 is a wasteful number, since it uses less digits than its factorization.

10097794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The spelling of 10097794000 in words is "ten billion, ninety-seven million, seven hundred ninety-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 139 140 175 200 250 278 280 350 400 500 556 560 695 700 875 973 1000 1112 1390 1400 1750 1946 2000 2224 2780 2800 3475 3500 3892 4865 5189 5560 6950 7000 7784 9730 10378 11120 13900 14000 15568 17375 19460 20756 24325 25945 27800 34750 36323 38920 41512 48650 51890 55600 69500 72646 77840 83024 97300 103780 121625 129725 139000 145292 181615 194600 207560 243250 259450 278000 290584 363230 389200 415120 486500 518900 581168 648625 721271 726460 908075 973000 1037800 1297250 1442542 1452920 1816150 1946000 2075600 2594500 2885084 2905840 3606355 3632300 4540375 5048897 5189000 5770168 7212710 7264600 9080750 10097794 10378000 11540336 14425420 14529200 18031775 18161500 20195588 25244485 28850840 36063550 36323000 40391176 50488970 57701680 72127100 72646000 80782352 90158875 100977940 126222425 144254200 180317750 201955880 252444850 288508400 360635500 403911760 504889700 631112125 721271000 1009779400 1262224250 1442542000 2019558800 2524448500 5048897000 10097794000