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20255366340 = 223251113973597
BaseRepresentation
bin10010110111010100…
…000101110011000100
31221021122001020000100
4102313110011303010
5312440333210330
613145530444100
71314642526116
oct226724056304
957248036010
1020255366340
118654698590
123b13593630
131baa578a91
14da219b3b6
157d83b0060
hex4b7505cc4

20255366340 has 144 divisors (see below), whose sum is σ = 67509973440. Its totient is φ = 4874999040.

The previous prime is 20255366291. The next prime is 20255366353. The reversal of 20255366340 is 4366355202.

20255366340 is a `hidden beast` number, since 2 + 0 + 2 + 553 + 6 + 63 + 40 = 666.

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 = 20255366295 and 20255366304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238422 + ... + 312018.

It is an arithmetic number, because the mean of its divisors is an integer number (468819260).

Almost surely, 220255366340 is an apocalyptic number.

20255366340 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 20255366340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33754986720).

20255366340 is an abundant number, since it is smaller than the sum of its proper divisors (47254607100).

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

20255366340 is a wasteful number, since it uses less digits than its factorization.

20255366340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73762 (or 73757 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 20255366340 in words is "twenty billion, two hundred fifty-five million, three hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 139 165 180 198 220 278 330 396 417 495 556 660 695 834 990 1251 1390 1529 1668 1980 2085 2502 2780 3058 4170 4587 5004 6116 6255 7645 8340 9174 12510 13761 15290 18348 22935 25020 27522 30580 45870 55044 68805 73597 91740 137610 147194 220791 275220 294388 367985 441582 662373 735970 809567 883164 1103955 1324746 1471940 1619134 2207910 2428701 2649492 3238268 3311865 4047835 4415820 4857402 6623730 7286103 8095670 9714804 10229983 12143505 13247460 14572206 16191340 20459966 24287010 29144412 30689949 36430515 40919932 48574020 51149915 61379898 72861030 92069847 102299830 112529813 122759796 145722060 153449745 184139694 204599660 225059626 306899490 337589439 368279388 450119252 460349235 562649065 613798980 675178878 920698470 1012768317 1125298130 1350357756 1687947195 1841396940 2025536634 2250596260 3375894390 4051073268 5063841585 6751788780 10127683170 20255366340