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20816901540 = 22325176802909
BaseRepresentation
bin10011011000110010…
…001011010110100100
31222201202200011111100
4103120302023112210
5320113111322130
613321350240100
71334601513021
oct233062132644
958652604440
1020816901540
118912664266
12404b656030
131c699c7826
1410169b0548
1581c830c60
hex4d8c8b5a4

20816901540 has 72 divisors (see below), whose sum is σ = 66858999480. Its totient is φ = 5224633344.

The previous prime is 20816901499. The next prime is 20816901551. The reversal of 20816901540 is 4510961802.

20816901540 is a `hidden beast` number, since 20 + 8 + 1 + 6 + 90 + 1 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1585313856 + 19231587684 = 39816^2 + 138678^2 .

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 = 20816901495 and 20816901504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3398395 + ... + 3404514.

It is an arithmetic number, because the mean of its divisors is an integer number (928597215).

Almost surely, 220816901540 is an apocalyptic number.

20816901540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20816901540 is an abundant number, since it is smaller than the sum of its proper divisors (46042097940).

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

20816901540 is a wasteful number, since it uses less digits than its factorization.

20816901540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6802941 (or 6802936 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 20816901540 in words is "twenty billion, eight hundred sixteen million, nine hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6802909 13605818 20408727 27211636 34014545 40817454 61226181 68029090 81634908 102043635 115649453 122452362 136058180 204087270 231298906 244904724 306130905 346948359 408174540 462597812 578247265 612261810 693896718 1040845077 1156494530 1224523620 1387793436 1734741795 2081690154 2312989060 3469483590 4163380308 5204225385 6938967180 10408450770 20816901540