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20742509040 = 2435117857011
BaseRepresentation
bin10011010100010110…
…011001000111110000
31222112120200122011120
4103110112121013300
5314440040242130
613310131542240
71333006263201
oct232426310760
958476618146
1020742509040
118884673060
12402a75a980
131c5747b8b6
14100ab675a8
15816038910
hex4d45991f0

20742509040 has 80 divisors (see below), whose sum is σ = 70147403136. Its totient is φ = 5028486400.

The previous prime is 20742508909. The next prime is 20742509041. The reversal of 20742509040 is 4090524702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20742508992 and 20742509010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20742509041) 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, 3925866 + ... + 3931145.

Almost surely, 220742509040 is an apocalyptic number.

20742509040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20742509040 is an abundant number, since it is smaller than the sum of its proper divisors (49404894096).

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

20742509040 is a wasteful number, since it uses less digits than its factorization.

20742509040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7857038 (or 7857032 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 20742509040 in words is "twenty billion, seven hundred forty-two million, five hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 7857011 15714022 23571033 31428044 39285055 47142066 62856088 78570110 86427121 94284132 117855165 125712176 157140220 172854242 188568264 235710330 259281363 314280440 345708484 377136528 432135605 471420660 518562726 628560880 691416968 864271210 942841320 1037125452 1296406815 1382833936 1728542420 1885682640 2074250904 2592813630 3457084840 4148501808 5185627260 6914169680 10371254520 20742509040