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20406421003644 = 22321323354112591
BaseRepresentation
bin1001010001111001111010…
…11110011001110101111100
32200020211112120021122202100
410220330331132121311330
510133314322234104034
6111222325210425100
74204213064402064
oct450747536316574
980224476248670
1020406421003644
116558350731515
122356a99132190
13b50417ca4600
145079671003a4
15255c40329099
hex128f3d799d7c

20406421003644 has 54 divisors (see below), whose sum is σ = 55856036994576. Its totient is φ = 6278898768480.

The previous prime is 20406421003589. The next prime is 20406421003693. The reversal of 20406421003644 is 44630012460402.

20406421003644 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 6 + 4 + 2 + 1 + 0 + 0 + 3 + 644 = 666.

It is a super-2 number, since 2×204064210036442 (a number of 27 digits) contains 22 as substring.

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 = 20406421003599 and 20406421003608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1677050212 + ... + 1677062379.

Almost surely, 220406421003644 is an apocalyptic number.

It is an amenable number.

20406421003644 is an abundant number, since it is smaller than the sum of its proper divisors (35449615990932).

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

20406421003644 is a wasteful number, since it uses less digits than its factorization.

20406421003644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354112627 (or 3354112609 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 20406421003644 in words is "twenty trillion, four hundred six billion, four hundred twenty-one million, three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 3354112591 6708225182 10062337773 13416450364 20124675546 30187013319 40249351092 43603463683 60374026638 87206927366 120748053276 130810391049 174413854732 261620782098 392431173147 523241564196 566845027879 784862346294 1133690055758 1569724692588 1700535083637 2267380111516 3401070167274 5101605250911 6802140334548 10203210501822 20406421003644