Search a number
-
+
19100191900 = 22521761184187
BaseRepresentation
bin10001110010011101…
…011100110010011100
31211022010101021120211
4101302131130302130
5303104122120100
612435143222204
71244214644446
oct216235346234
954263337524
1019100191900
118111618969
123850747964
131a5514a6ca
14cd29b9496
1576bc7b1ba
hex47275cc9c

19100191900 has 72 divisors (see below), whose sum is σ = 44605176336. Its totient is φ = 7072742400.

The previous prime is 19100191879. The next prime is 19100191907. The reversal of 19100191900 is 919100191.

It is a super-2 number, since 2×191001919002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19100191907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11607 + ... + 195793.

It is an arithmetic number, because the mean of its divisors is an integer number (619516338).

Almost surely, 219100191900 is an apocalyptic number.

19100191900 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 19100191900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22302588168).

19100191900 is an abundant number, since it is smaller than the sum of its proper divisors (25504984436).

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

19100191900 is a wasteful number, since it uses less digits than its factorization.

19100191900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184279 (or 184272 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 19100191900 in words is "nineteen billion, one hundred million, one hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 61 68 85 100 122 170 244 305 340 425 610 850 1037 1220 1525 1700 2074 3050 4148 5185 6100 10370 20740 25925 51850 103700 184187 368374 736748 920935 1841870 3131179 3683740 4604675 6262358 9209350 11235407 12524716 15655895 18418700 22470814 31311790 44941628 56177035 62623580 78279475 112354070 156558950 191001919 224708140 280885175 313117900 382003838 561770350 764007676 955009595 1123540700 1910019190 3820038380 4775047975 9550095950 19100191900