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20111650632 = 233219103142733
BaseRepresentation
bin10010101110101111…
…110110111101001000
31220220121121201010100
4102232233312331020
5312142040310012
613123354245400
71311246131643
oct225657667510
956817551110
1020111650632
118590558877
123a93426860
131b8686a3b8
14d8b06aa5a
157ca9728dc
hex4aebf6f48

20111650632 has 96 divisors (see below), whose sum is σ = 57892910400. Its totient is φ = 6289342848.

The previous prime is 20111650631. The next prime is 20111650633. The reversal of 20111650632 is 23605611102.

20111650632 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 1 + 650 + 6 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20111650631) and next prime (20111650633).

It is a super-2 number, since 2×201116506322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20111650596 and 20111650605.

It is not an unprimeable number, because it can be changed into a prime (20111650631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69538 + ... + 212270.

It is an arithmetic number, because the mean of its divisors is an integer number (603051150).

Almost surely, 220111650632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111650632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28946455200).

20111650632 is an abundant number, since it is smaller than the sum of its proper divisors (37781259768).

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

20111650632 is a wasteful number, since it uses less digits than its factorization.

20111650632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142867 (or 142860 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 20111650632 in words is "twenty billion, one hundred eleven million, six hundred fifty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 103 114 152 171 206 228 309 342 412 456 618 684 824 927 1236 1368 1854 1957 2472 3708 3914 5871 7416 7828 11742 15656 17613 23484 35226 46968 70452 140904 142733 285466 428199 570932 856398 1141864 1284597 1712796 2569194 2711927 3425592 5138388 5423854 8135781 10276776 10847708 14701499 16271562 21695416 24407343 29402998 32543124 44104497 48814686 58805996 65086248 88208994 97629372 117611992 132313491 176417988 195258744 264626982 279328481 352835976 529253964 558656962 837985443 1058507928 1117313924 1675970886 2234627848 2513956329 3351941772 5027912658 6703883544 10055825316 20111650632