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19092843072 = 263417216649
BaseRepresentation
bin10001110010000001…
…011010101001000000
31211021121112220220000
4101302001122221000
5303100231434242
612434321520000
71244065326342
oct216201325100
954247486800
1019092843072
118108459656
12384a1a3000
131a537767a4
14cd1a25292
1576b2c8a4c
hex47205aa40

19092843072 has 140 divisors (see below), whose sum is σ = 59926689900. Its totient is φ = 5989883904.

The previous prime is 19092843067. The next prime is 19092843079. The reversal of 19092843072 is 27034829091.

19092843072 is a `hidden beast` number, since 190 + 9 + 28 + 430 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7304095296 + 11788747776 = 85464^2 + 108576^2 .

It is not an unprimeable number, because it can be changed into a prime (19092843079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20197 + ... + 196452.

It is an arithmetic number, because the mean of its divisors is an integer number (428047785).

Almost surely, 219092843072 is an apocalyptic number.

19092843072 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 19092843072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29963344950).

19092843072 is an abundant number, since it is smaller than the sum of its proper divisors (40833846828).

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

19092843072 is a wasteful number, since it uses less digits than its factorization.

19092843072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216690 (or 216671 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 19092843072 in words is "nineteen billion, ninety-two million, eight hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 88128 216649 433298 649947 866596 1299894 1733192 1949841 2599788 3466384 3683033 3899682 5199576 5849523 6932768 7366066 7799364 10399152 11049099 11699046 13865536 14732132 15598728 17548569 20798304 22098198 23398092 29464264 31197456 33147297 35097138 41596608 44196396 46796184 58928528 62394912 66294594 70194276 88392792 93592368 99441891 117857056 124789824 132589188 140388552 176785584 187184736 198883782 235714112 265178376 280777104 298325673 353571168 374369472 397767564 530356752 561554208 596651346 707142336 795535128 1060713504 1123108416 1193302692 1591070256 2121427008 2386605384 3182140512 4773210768 6364281024 9546421536 19092843072