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20535040188 = 22331315439479
BaseRepresentation
bin10011000111111110…
…111101100010111100
31222000010022010102000
4103013332331202330
5314023432241223
613233401102300
71324606650555
oct230776754274
958003263360
1020535040188
1187885496a3
123b91187990
131c234aab70
14dcb39d32c
15802c06543
hex4c7fbd8bc

20535040188 has 96 divisors (see below), whose sum is σ = 57377510400. Its totient is φ = 6313712832.

The previous prime is 20535040133. The next prime is 20535040213. The reversal of 20535040188 is 88104053502.

It is a happy number.

20535040188 is a `hidden beast` number, since 2 + 0 + 535 + 0 + 40 + 1 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2161633 + ... + 2171111.

It is an arithmetic number, because the mean of its divisors is an integer number (597682400).

Almost surely, 220535040188 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 20535040188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28688755200).

20535040188 is an abundant number, since it is smaller than the sum of its proper divisors (36842470212).

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

20535040188 is a wasteful number, since it uses less digits than its factorization.

20535040188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11048 (or 11040 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 20535040188 in words is "twenty billion, five hundred thirty-five million, forty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1543 3086 4629 6172 9258 9479 13887 18516 18958 20059 27774 28437 37916 40118 41661 55548 56874 60177 80236 83322 85311 113748 120354 123227 166644 170622 180531 240708 246454 255933 341244 361062 369681 492908 511866 541593 722124 739362 1023732 1083186 1109043 1478724 2166372 2218086 3327129 4436172 6654258 13308516 14626097 29252194 43878291 58504388 87756582 131634873 175513164 190139261 263269746 380278522 394904619 526539492 570417783 760557044 789809238 1140835566 1579618476 1711253349 2281671132 3422506698 5133760047 6845013396 10267520094 20535040188