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19834720992 = 253361937087
BaseRepresentation
bin10010011110001111…
…011101001011100000
31220012022112020002000
4102132033131023200
5311110142032432
613040102524000
71301344226622
oct223617351340
956168466060
1019834720992
1184592014a9
123a16736600
131b413893c8
14d62380c12
157b14be57c
hex49e3dd2e0

19834720992 has 96 divisors (see below), whose sum is σ = 57946291200. Its totient is φ = 6600714624.

The previous prime is 19834720991. The next prime is 19834720993. The reversal of 19834720992 is 29902743891.

19834720992 is a `hidden beast` number, since 1 + 9 + 8 + 347 + 209 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (19834720991) and next prime (19834720993).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19834720991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516273 + ... + 553359.

It is an arithmetic number, because the mean of its divisors is an integer number (603607200).

Almost surely, 219834720992 is an apocalyptic number.

19834720992 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 19834720992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28973145600).

19834720992 is an abundant number, since it is smaller than the sum of its proper divisors (38111570208).

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

19834720992 is a wasteful number, since it uses less digits than its factorization.

19834720992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37725 (or 37711 counting only the distinct ones).

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

The spelling of 19834720992 in words is "nineteen billion, eight hundred thirty-four million, seven hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 619 864 1238 1857 2476 3714 4952 5571 7428 9904 11142 14856 16713 19808 22284 29712 33426 37087 44568 59424 66852 74174 89136 111261 133704 148348 178272 222522 267408 296696 333783 445044 534816 593392 667566 890088 1001349 1186784 1335132 1780176 2002698 2670264 3560352 4005396 5340528 8010792 10681056 16021584 22956853 32043168 45913706 68870559 91827412 137741118 183654824 206611677 275482236 367309648 413223354 550964472 619835031 734619296 826446708 1101928944 1239670062 1652893416 2203857888 2479340124 3305786832 4958680248 6611573664 9917360496 19834720992