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20454605040 = 24351919922541
BaseRepresentation
bin10011000011001100…
…001000000011110000
31221210111221121010110
4103003030020003300
5313342334330130
613221405101320
71322612163012
oct230314100360
957714847113
1020454605040
118747100571
123b6a257840
131c0c9276bc
14dc08221b2
157eab18ab0
hex4c33080f0

20454605040 has 160 divisors (see below), whose sum is σ = 67084992000. Its totient is φ = 5141283840.

The previous prime is 20454605011. The next prime is 20454605051. The reversal of 20454605040 is 4050645402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20454604989 and 20454605007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896170 + ... + 918710.

It is an arithmetic number, because the mean of its divisors is an integer number (419281200).

Almost surely, 220454605040 is an apocalyptic number.

20454605040 is a gapful number since it is divisible by the number (20) 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 20454605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33542496000).

20454605040 is an abundant number, since it is smaller than the sum of its proper divisors (46630386960).

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

20454605040 is a wasteful number, since it uses less digits than its factorization.

20454605040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22775 (or 22769 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 20454605040 in words is "twenty billion, four hundred fifty-four million, six hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 199 228 240 285 304 380 398 456 570 597 760 796 912 995 1140 1194 1520 1592 1990 2280 2388 2985 3184 3781 3980 4560 4776 5970 7562 7960 9552 11343 11940 15124 15920 18905 22541 22686 23880 30248 37810 45082 45372 47760 56715 60496 67623 75620 90164 90744 112705 113430 135246 151240 180328 181488 225410 226860 270492 302480 338115 360656 428279 450820 453720 540984 676230 856558 901640 907440 1081968 1284837 1352460 1713116 1803280 2141395 2569674 2704920 3426232 4282790 4485659 5139348 5409840 6424185 6852464 8565580 8971318 10278696 12848370 13456977 17131160 17942636 20557392 22428295 25696740 26913954 34262320 35885272 44856590 51393480 53827908 67284885 71770544 85227521 89713180 102786960 107655816 134569770 170455042 179426360 215311632 255682563 269139540 340910084 358852720 426137605 511365126 538279080 681820168 852275210 1022730252 1076558160 1278412815 1363640336 1704550420 2045460504 2556825630 3409100840 4090921008 5113651260 6818201680 10227302520 20454605040