Search a number
-
+
20251563384 = 2331328956101
BaseRepresentation
bin10010110111000101…
…100101010101111000
31221021100220000100010
4102313011211111320
5312433400012014
613145313141520
71314565306563
oct226705452570
957240800303
1020251563384
118652530348
123b1225a8a0
131ba9846b00
14da188b4da
157d7dad359
hex4b7165578

20251563384 has 96 divisors (see below), whose sum is σ = 55439996400. Its totient is φ = 6161126400.

The previous prime is 20251563341. The next prime is 20251563403. The reversal of 20251563384 is 48336515202.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332934 + ... + 389034.

Almost surely, 220251563384 is an apocalyptic number.

20251563384 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 20251563384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27719998200).

20251563384 is an abundant number, since it is smaller than the sum of its proper divisors (35188433016).

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

20251563384 is a wasteful number, since it uses less digits than its factorization.

20251563384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56225 (or 56208 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 20251563384 in words is "twenty billion, two hundred fifty-one million, five hundred sixty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 89 104 156 169 178 267 312 338 356 507 534 676 712 1014 1068 1157 1352 2028 2136 2314 3471 4056 4628 6942 9256 13884 15041 27768 30082 45123 56101 60164 90246 112202 120328 168303 180492 224404 336606 360984 448808 673212 729313 1346424 1458626 2187939 2917252 4375878 4992989 5834504 8751756 9481069 9985978 14978967 17503512 18962138 19971956 28443207 29957934 37924276 39943912 56886414 59915868 64908857 75848552 113772828 119831736 129817714 194726571 227545656 259635428 389453142 519270856 778906284 843815141 1557812568 1687630282 2531445423 3375260564 5062890846 6750521128 10125781692 20251563384