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20552533040 = 2451383457521
BaseRepresentation
bin10011001001000001…
…101100010000110000
31222001100012212002102
4103021001230100300
5314042422024130
613235224035532
71325211435254
oct231101542060
958040185072
1020552533040
1187974072a6
123b97002ba8
131c26cc4070
14dcd834264
1580450e645
hex4c906c430

20552533040 has 160 divisors (see below), whose sum is σ = 52294527936. Its totient is φ = 7466434560.

The previous prime is 20552533033. The next prime is 20552533069. The reversal of 20552533040 is 4033525502.

It is a super-2 number, since 2×205525330402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20552532994 and 20552533012.

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, 39447980 + ... + 39448500.

Almost surely, 220552533040 is an apocalyptic number.

20552533040 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 20552533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26147263968).

20552533040 is an abundant number, since it is smaller than the sum of its proper divisors (31741994896).

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

20552533040 is a wasteful number, since it uses less digits than its factorization.

20552533040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The spelling of 20552533040 in words is "twenty billion, five hundred fifty-two million, five hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 83 104 130 166 208 260 332 415 457 520 521 664 830 914 1040 1042 1079 1328 1660 1828 2084 2158 2285 2605 3320 3656 4168 4316 4570 5210 5395 5941 6640 6773 7312 8336 8632 9140 10420 10790 11882 13546 17264 18280 20840 21580 23764 27092 29705 33865 36560 37931 41680 43160 43243 47528 54184 59410 67730 75862 86320 86486 95056 108368 118820 135460 151724 172972 189655 216215 237640 238097 270920 303448 345944 379310 432430 475280 476194 493103 541840 562159 606896 691888 758620 864860 952388 986206 1124318 1190485 1517240 1729720 1904776 1972412 2248636 2380970 2465515 2810795 3034480 3095261 3459440 3809552 3944824 4497272 4761940 4931030 5621590 6190522 7889648 8994544 9523880 9862060 11243180 12381044 15476305 19047760 19724120 19762051 22486360 24762088 30952610 39448240 39524102 44972720 49524176 61905220 79048204 98810255 123810440 158096408 197620510 247620880 256906663 316192816 395241020 513813326 790482040 1027626652 1284533315 1580964080 2055253304 2569066630 4110506608 5138133260 10276266520 20552533040