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19885929984 = 293243100361
BaseRepresentation
bin10010100001010010…
…110011011000000000
31220022212212220121100
4102201102303120000
5311211244224414
613045132254400
71302535421154
oct224122633000
956285786540
1019885929984
1184850a8588
123a2b911400
131b4bb78b9b
14d690b1064
157b5c37609
hex4a14b3600

19885929984 has 120 divisors (see below), whose sum is σ = 58727426472. Its totient is φ = 6474424320.

The previous prime is 19885929961. The next prime is 19885929989. The reversal of 19885929984 is 48992958891.

It is a super-2 number, since 2×198859299842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19885929989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147964 + ... + 248324.

Almost surely, 219885929984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19885929984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29363713236).

19885929984 is an abundant number, since it is smaller than the sum of its proper divisors (38841496488).

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

19885929984 is a wasteful number, since it uses less digits than its factorization.

19885929984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100428 (or 100409 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 72.

The spelling of 19885929984 in words is "nineteen billion, eight hundred eighty-five million, nine hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1032 1152 1376 1536 1548 2064 2304 2752 3096 4128 4608 5504 6192 8256 11008 12384 16512 22016 24768 33024 49536 66048 99072 100361 198144 200722 301083 401444 602166 802888 903249 1204332 1605776 1806498 2408664 3211552 3612996 4315523 4817328 6423104 7225992 8631046 9634656 12846208 12946569 14451984 17262092 19269312 25692416 25893138 28903968 34524184 38538624 38839707 51384832 51786276 57807936 69048368 77077248 77679414 103572552 115615872 138096736 154154496 155358828 207145104 231231744 276193472 310717656 414290208 462463488 552386944 621435312 828580416 1104773888 1242870624 1657160832 2209547776 2485741248 3314321664 4971482496 6628643328 9942964992 19885929984