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20556550152 = 23324131122391
BaseRepresentation
bin10011001001010001…
…000001000000001000
31222001121202221112100
4103021101001000020
5314044434101102
613235450113400
71325260536045
oct231121010010
958047687470
1020556550152
118799700426
123b9841b860
131c27a9c658
14dd019c1cc
15804a54a1c
hex4c9441008

20556550152 has 96 divisors (see below), whose sum is σ = 57217829760. Its totient is φ = 6663264000.

The previous prime is 20556550117. The next prime is 20556550159. The reversal of 20556550152 is 25105565502.

20556550152 is a `hidden beast` number, since 2 + 0 + 5 + 56 + 550 + 1 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20556550159) 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, 906877 + ... + 929267.

It is an arithmetic number, because the mean of its divisors is an integer number (596019060).

Almost surely, 220556550152 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 20556550152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28608914880).

20556550152 is an abundant number, since it is smaller than the sum of its proper divisors (36661279608).

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

20556550152 is a wasteful number, since it uses less digits than its factorization.

20556550152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22755 (or 22748 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 20556550152 in words is "twenty billion, five hundred fifty-six million, five hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 311 328 369 492 622 738 933 984 1244 1476 1866 2488 2799 2952 3732 5598 7464 11196 12751 22391 22392 25502 38253 44782 51004 67173 76506 89564 102008 114759 134346 153012 179128 201519 229518 268692 306024 403038 459036 537384 806076 918031 918072 1612152 1836062 2754093 3672124 5508186 6963601 7344248 8262279 11016372 13927202 16524558 20890803 22032744 27854404 33049116 41781606 55708808 62672409 66098232 83563212 125344818 167126424 250689636 285507641 501379272 571015282 856522923 1142030564 1713045846 2284061128 2569568769 3426091692 5139137538 6852183384 10278275076 20556550152