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621306355140 = 2232541638913177
BaseRepresentation
bin10010000101010001011…
…11101001110111000100
32012101200220112001002200
421002220233221313010
540134413411331030
61153231343234500
762613356611332
oct11025057516704
92171626461080
10621306355140
1121a549270569
12a04b62a8a30
1346786b86943
14220ddc62b52
1511265631d60
hex90a8be9dc4

621306355140 has 144 divisors (see below), whose sum is σ = 1931044555440. Its totient is φ = 161603112960.

The previous prime is 621306355133. The next prime is 621306355183. The reversal of 621306355140 is 41553603126.

621306355140 is a `hidden beast` number, since 6 + 2 + 1 + 3 + 0 + 63 + 551 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 224829602244 + 396476752896 = 474162^2 + 629664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 621306355095 and 621306355104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47144232 + ... + 47157408.

It is an arithmetic number, because the mean of its divisors is an integer number (13410031635).

Almost surely, 2621306355140 is an apocalyptic number.

621306355140 is a gapful number since it is divisible by the number (60) 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 621306355140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965522277720).

621306355140 is an abundant number, since it is smaller than the sum of its proper divisors (1309738200300).

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

621306355140 is a wasteful number, since it uses less digits than its factorization.

621306355140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19622 (or 19617 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 621306355140 its reverse (41553603126), we get a palindrome (662859958266).

The spelling of 621306355140 in words is "six hundred twenty-one billion, three hundred six million, three hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 6389 7380 12778 13177 19167 25556 26354 31945 38334 39531 52708 57501 63890 65885 76668 79062 95835 115002 118593 127780 131770 158124 191670 197655 230004 237186 261949 263540 287505 383340 395310 474372 523898 540257 575010 592965 785847 790620 1047796 1080514 1150020 1185930 1309745 1571694 1620771 2161028 2357541 2371860 2619490 2701285 3143388 3241542 3929235 4715082 4862313 5238980 5402570 6483084 7858470 8103855 9430164 9724626 10805140 11787705 15716940 16207710 19449252 23575410 24311565 32415420 47150820 48623130 84187853 97246260 168375706 252563559 336751412 420939265 505127118 757690677 841878530 1010254236 1262817795 1515381354 1683757060 2525635590 3030762708 3451701973 3788453385 5051271180 6903403946 7576906770 10355105919 13806807892 15153813540 17258509865 20710211838 31065317757 34517019730 41420423676 51775529595 62130635514 69034039460 103551059190 124261271028 155326588785 207102118380 310653177570 621306355140