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20212078248 = 23321961923869
BaseRepresentation
bin10010110100101110…
…111101011010101000
31221011121120221220200
4102310232331122220
5312343243000443
613141342552200
71313605554555
oct226456753250
957147527820
1020212078248
1186322115aa
123b00b98660
131ba160071b
14d9a52da2c
157d46addd3
hex4b4bbd6a8

20212078248 has 96 divisors (see below), whose sum is σ = 57717660000. Its totient is φ = 6372183168.

The previous prime is 20212078247. The next prime is 20212078291. The reversal of 20212078248 is 84287021202.

20212078248 is a `hidden beast` number, since 202 + 1 + 207 + 8 + 248 = 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 (20212078241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834858 + ... + 858726.

It is an arithmetic number, because the mean of its divisors is an integer number (601225625).

Almost surely, 220212078248 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 20212078248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28858830000).

20212078248 is an abundant number, since it is smaller than the sum of its proper divisors (37505581752).

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

20212078248 is a wasteful number, since it uses less digits than its factorization.

20212078248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24519 (or 24512 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 20212078248 in words is "twenty billion, two hundred twelve million, seventy-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 619 684 1238 1368 1857 2476 3714 4952 5571 7428 11142 11761 14856 22284 23522 23869 35283 44568 47044 47738 70566 71607 94088 95476 105849 141132 143214 190952 211698 214821 282264 286428 423396 429642 453511 572856 846792 859284 907022 1360533 1718568 1814044 2721066 3628088 4081599 5442132 8163198 10884264 14774911 16326396 29549822 32652792 44324733 59099644 88649466 118199288 132974199 177298932 265948398 280723309 354597864 531896796 561446618 842169927 1063793592 1122893236 1684339854 2245786472 2526509781 3368679708 5053019562 6737359416 10106039124 20212078248