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20210521344 = 283139292179
BaseRepresentation
bin10010110100101001…
…000001010100000000
31221011111122212020120
4102310221001110000
5312342343140334
613141245340240
71313556411516
oct226451012400
957144585216
1020210521344
118631348902
123b00567680
131ba11a6b90
14d9a2464b6
157d44a2949
hex4b4a41500

20210521344 has 144 divisors (see below), whose sum is σ = 58016078400. Its totient is φ = 6209077248.

The previous prime is 20210521249. The next prime is 20210521351. The reversal of 20210521344 is 44312501202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9274047 + ... + 9276225.

Almost surely, 220210521344 is an apocalyptic number.

20210521344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29008039200).

20210521344 is an abundant number, since it is smaller than the sum of its proper divisors (37805557056).

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

20210521344 is a wasteful number, since it uses less digits than its factorization.

20210521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 20210521344 in words is "twenty billion, two hundred ten million, five hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 929 1248 1664 1858 2179 2496 2787 3328 3716 4358 4992 5574 6537 7432 8716 9984 11148 12077 13074 14864 17432 22296 24154 26148 28327 29728 34864 36231 44592 48308 52296 56654 59456 69728 72462 84981 89184 96616 104592 113308 118912 139456 144924 169962 178368 193232 209184 226616 237824 278912 289848 339924 356736 386464 418368 453232 557824 579696 679848 713472 772928 836736 906464 1159392 1359696 1545856 1673472 1812928 2024291 2318784 2719392 3091712 3625856 4048582 4637568 5438784 6072873 7251712 8097164 9275136 10877568 12145746 16194328 21755136 24291492 26315783 32388656 48582984 52631566 64777312 78947349 97165968 105263132 129554624 157894698 194331936 210526264 259109248 315789396 388663872 421052528 518218496 631578792 777327744 842105056 1263157584 1554655488 1684210112 2526315168 3368420224 5052630336 6736840448 10105260672 20210521344