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19294430742 = 23329191251257
BaseRepresentation
bin10001111110000010…
…011010011000010110
31211210122212122012000
4101332002122120112
5304003333240432
612510322340130
71252063645446
oct217602323026
954718778160
1019294430742
118201226434
1238a57ba646
131a86468632
14d106dc126
1577dd4857c
hex47e09a616

19294430742 has 128 divisors (see below), whose sum is σ = 44939059200. Its totient is φ = 6128640000.

The previous prime is 19294430641. The next prime is 19294430747. The reversal of 19294430742 is 24703449291.

19294430742 is a `hidden beast` number, since 1 + 92 + 94 + 430 + 7 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19294430747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75075478 + ... + 75075734.

It is an arithmetic number, because the mean of its divisors is an integer number (351086400).

Almost surely, 219294430742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19294430742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22469529600).

19294430742 is an abundant number, since it is smaller than the sum of its proper divisors (25644628458).

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

19294430742 is a wasteful number, since it uses less digits than its factorization.

19294430742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 19294430742 in words is "nineteen billion, two hundred ninety-four million, four hundred thirty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 191 251 257 261 382 502 514 522 573 753 771 783 1146 1506 1542 1566 1719 2259 2313 3438 4518 4626 5157 5539 6777 6939 7279 7453 10314 11078 13554 13878 14558 14906 16617 21837 22359 33234 43674 44718 47941 49087 49851 64507 65511 67077 95882 98174 99702 129014 131022 134154 143823 147261 149553 193521 196533 201231 287646 294522 299106 387042 393066 402462 431469 441783 580563 862938 883566 1161126 1294407 1325349 1390289 1423523 1741689 1870703 2588814 2650698 2780578 2847046 3483378 3741406 4170867 4270569 5612109 8341734 8541138 11224218 12320837 12512601 12811707 16836327 24641674 25025202 25623414 33672654 36962511 37537803 38435121 50508981 73925022 75075606 76870242 101017962 110887533 221775066 332662599 357304273 665325198 714608546 1071912819 2143825638 3215738457 6431476914 9647215371 19294430742