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20553115440 = 24351113598867
BaseRepresentation
bin10011001001000011…
…111010011100110000
31222001101022102222210
4103021003322130300
5314043044143230
613235244332120
71325216412234
oct231103723460
958041272883
1020553115440
118797774920
123b97244040
131c27169190
14dcd9465c4
158045c6eb0
hex4c90fa730

20553115440 has 160 divisors (see below), whose sum is σ = 74853709056. Its totient is φ = 4599290880.

The previous prime is 20553115433. The next prime is 20553115469. The reversal of 20553115440 is 4451135502.

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 = 20553115398 and 20553115407.

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, 265114 + ... + 333753.

Almost surely, 220553115440 is an apocalyptic number.

20553115440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20553115440 is an abundant number, since it is smaller than the sum of its proper divisors (54300593616).

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

20553115440 is a wasteful number, since it uses less digits than its factorization.

20553115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598907 (or 598901 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 20553115440 in words is "twenty billion, five hundred fifty-three million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320 598867 1197734 1796601 2395468 2994335 3593202 4790936 5988670 6587537 7186404 7785271 8983005 9581872 11977340 13175074 14372808 15570542 17966010 19762611 23355813 23954680 26350148 28745616 31141084 32937685 35932020 38926355 39525222 46711626 47909360 52700296 62282168 65875370 71864040 77852710 79050444 85637981 93423252 98813055 105400592 116779065 124564336 131750740 143728080 155705420 158100888 171275962 186846504 197626110 233558130 256913943 263501480 311410840 316201776 342551924 373693008 395252220 428189905 467116260 513827886 527002960 622821680 685103848 790504440 856379810 934232520 1027655772 1284569715 1370207696 1581008880 1712759620 1868465040 2055311544 2569139430 3425519240 4110623088 5138278860 6851038480 10276557720 20553115440