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10196441200 = 24521119121967
BaseRepresentation
bin10010111111100000…
…10101100001110000
3222022121101212210101
421133300111201300
5131340242104300
64403441042144
7510451214551
oct113760254160
928277355711
1010196441200
114362697210
121b86926354
13c665c997a
146ca29a328
153ea262b6a
hex25fc15870

10196441200 has 120 divisors (see below), whose sum is σ = 28130699520. Its totient is φ = 3512620800.

The previous prime is 10196441173. The next prime is 10196441243. The reversal of 10196441200 is 214469101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22617 + ... + 144583.

It is an arithmetic number, because the mean of its divisors is an integer number (234422496).

Almost surely, 210196441200 is an apocalyptic number.

10196441200 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 10196441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065349760).

10196441200 is an abundant number, since it is smaller than the sum of its proper divisors (17934258320).

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

10196441200 is a wasteful number, since it uses less digits than its factorization.

10196441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122015 (or 122004 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 10196441200 in words is "ten billion, one hundred ninety-six million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 152 176 190 200 209 220 275 304 380 400 418 440 475 550 760 836 880 950 1045 1100 1520 1672 1900 2090 2200 3344 3800 4180 4400 5225 7600 8360 10450 16720 20900 41800 83600 121967 243934 487868 609835 975736 1219670 1341637 1951472 2317373 2439340 2683274 3049175 4634746 4878680 5366548 6098350 6708185 9269492 9757360 10733096 11586865 12196700 13416370 18538984 21466192 23173730 24393400 25491103 26832740 33540925 37077968 46347460 48786800 50982206 53665480 57934325 67081850 92694920 101964412 107330960 115868650 127455515 134163700 185389840 203928824 231737300 254911030 268327400 407857648 463474600 509822060 536654800 637277575 926949200 1019644120 1274555150 2039288240 2549110300 5098220600 10196441200