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19940798304 = 2532764315383
BaseRepresentation
bin10010100100100100…
…000110111101100000
31220110201010111210100
4102210210012331200
5311314321021204
613054412302400
71304102663130
oct224444067540
956421114710
1019940798304
1185030739a9
123a46171a00
131b5a34a14b
14d724b4ac0
157ba974a39
hex4a4906f60

19940798304 has 144 divisors (see below), whose sum is σ = 64912603392. Its totient is φ = 5688140544.

The previous prime is 19940798303. The next prime is 19940798321. The reversal of 19940798304 is 40389704991.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19940798303) 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, 1288597 + ... + 1303979.

It is an arithmetic number, because the mean of its divisors is an integer number (450781968).

Almost surely, 219940798304 is an apocalyptic number.

19940798304 is a gapful number since it is divisible by the number (14) 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 19940798304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32456301696).

19940798304 is an abundant number, since it is smaller than the sum of its proper divisors (44971805088).

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

19940798304 is a wasteful number, since it uses less digits than its factorization.

19940798304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16049 (or 16038 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 19940798304 in words is "nineteen billion, nine hundred forty million, seven hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 643 672 1008 1286 1929 2016 2572 3858 4501 5144 5787 7716 9002 10288 11574 13503 15383 15432 18004 20576 23148 27006 30766 30864 36008 40509 46149 46296 54012 61532 61728 72016 81018 92298 92592 107681 108024 123064 138447 144032 162036 184596 185184 215362 216048 246128 276894 323043 324072 369192 430724 432096 492256 553788 646086 648144 738384 861448 969129 1107576 1292172 1296288 1476768 1722896 1938258 2215152 2584344 3445792 3876516 4430304 5168688 7753032 9891269 10337376 15506064 19782538 29673807 31012128 39565076 59347614 69238883 79130152 89021421 118695228 138477766 158260304 178042842 207716649 237390456 276955532 316520608 356085684 415433298 474780912 553911064 623149947 712171368 830866596 949561824 1107822128 1246299894 1424342736 1661733192 2215644256 2492599788 2848685472 3323466384 4985199576 6646932768 9970399152 19940798304