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19201158132 = 223131072334937
BaseRepresentation
bin10001111000011110…
…100110101111110100
31211120011100220012220
4101320132212233310
5303310444030012
612453151242340
71246552102602
oct217036465764
954504326186
1019201158132
11816360a332
12387a5193b0
131a7003bc40
14d0217c872
15775a7208c
hex4787a6bf4

19201158132 has 96 divisors (see below), whose sum is σ = 48918909312. Its totient is φ = 5826533376.

The previous prime is 19201158121. The next prime is 19201158139. The reversal of 19201158132 is 23185110291.

It is a super-2 number, since 2×192011581322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19201158093 and 19201158102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19201158139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3886768 + ... + 3891704.

It is an arithmetic number, because the mean of its divisors is an integer number (509571972).

Almost surely, 219201158132 is an apocalyptic number.

19201158132 is a gapful number since it is divisible by the number (12) 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 19201158132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24459454656).

19201158132 is an abundant number, since it is smaller than the sum of its proper divisors (29717751180).

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

19201158132 is a wasteful number, since it uses less digits than its factorization.

19201158132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5297 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 19201158132 in words is "nineteen billion, two hundred one million, one hundred fifty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 233 321 428 466 642 699 932 1284 1391 1398 2782 2796 3029 4173 4937 5564 6058 8346 9087 9874 12116 14811 16692 18174 19748 24931 29622 36348 49862 59244 64181 74793 99724 128362 149586 192543 256724 299172 324103 385086 528259 648206 770172 972309 1056518 1150321 1296412 1584777 1944618 2113036 2300642 3169554 3450963 3889236 4601284 6339108 6867367 6901926 13734734 13803852 14954173 20602101 27469468 29908346 41204202 44862519 59816692 82408404 89725038 123084347 179450076 246168694 369253041 492337388 738506082 1477012164 1600096511 3200193022 4800289533 6400386044 9600579066 19201158132