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210426575640 = 233522776110151
BaseRepresentation
bin1100001111111001100…
…1101011101100011000
3202010010222201121101120
43003332121223230120
511421423200410030
6240400231445240
721126365244501
oct3037631535430
9663128647346
10210426575640
1181272352866
1234947526820
1316ac64c4368
14a282b65ba8
1557189e5010
hex30fe66bb18

210426575640 has 128 divisors (see below), whose sum is σ = 634956433920. Its totient is φ = 55787648000.

The previous prime is 210426575633. The next prime is 210426575657. The reversal of 210426575640 is 46575624012.

210426575640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210426575592 and 210426575601.

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, 20724565 + ... + 20734715.

It is an arithmetic number, because the mean of its divisors is an integer number (4960597140).

Almost surely, 2210426575640 is an apocalyptic number.

210426575640 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 210426575640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317478216960).

210426575640 is an abundant number, since it is smaller than the sum of its proper divisors (424529858280).

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

210426575640 is a wasteful number, since it uses less digits than its factorization.

210426575640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153 (or 11149 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 210426575640 in words is "two hundred ten billion, four hundred twenty-six million, five hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 761 908 1135 1362 1522 1816 2270 2283 2724 3044 3405 3805 4540 4566 5448 6088 6810 7610 9080 9132 10151 11415 13620 15220 18264 20302 22830 27240 30440 30453 40604 45660 50755 60906 81208 91320 101510 121812 152265 172747 203020 243624 304530 345494 406040 518241 609060 690988 863735 1036482 1218120 1381976 1727470 2072964 2304277 2591205 3454940 4145928 4608554 5182410 6909880 6912831 7724911 9217108 10364820 11521385 13825662 15449822 18434216 20729640 23042770 23174733 27651324 30899644 34564155 38624555 46085540 46349466 55302648 61799288 69128310 77249110 92171080 92698932 115873665 138256620 154498220 185397864 231747330 276513240 308996440 463494660 926989320 1753554797 3507109594 5260664391 7014219188 8767773985 10521328782 14028438376 17535547970 21042657564 26303321955 35071095940 42085315128 52606643910 70142191880 105213287820 210426575640