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21252313888 = 25131932231187
BaseRepresentation
bin10011110010101111…
…001001001100100000
32000212002222101221121
4103302233021030200
5322011043021023
613432502502024
71351436454541
oct236257111440
960762871847
1021252313888
119016416a83
124151434914
132008c87780
1410587524c8
15845b8bd5d
hex4f2bc9320

21252313888 has 96 divisors (see below), whose sum is σ = 45533892096. Its totient is φ = 9705996288.

The previous prime is 21252313883. The next prime is 21252313891. The reversal of 21252313888 is 88831325212.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21252313883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17903631 + ... + 17904817.

It is an arithmetic number, because the mean of its divisors is an integer number (474311376).

Almost surely, 221252313888 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 21252313888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766946048).

21252313888 is an abundant number, since it is smaller than the sum of its proper divisors (24281578208).

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

21252313888 is a wasteful number, since it uses less digits than its factorization.

21252313888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1618 counting only the distinct ones).

The product of its digits is 184320, while the sum is 43.

The spelling of 21252313888 in words is "twenty-one billion, two hundred fifty-two million, three hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 193 208 223 386 416 446 772 892 1187 1544 1784 2374 2509 2899 3088 3568 4748 5018 5798 6176 7136 9496 10036 11596 15431 18992 20072 23192 30862 37984 40144 43039 46384 61724 80288 86078 92768 123448 172156 229091 246896 264701 344312 458182 493792 529402 559507 688624 916364 1058804 1119014 1377248 1832728 2117608 2238028 2978183 3441113 3665456 4235216 4476056 5956366 6882226 7330912 8470432 8952112 11912732 13764452 17904224 23825464 27528904 47650928 51087293 55057808 95301856 102174586 110115616 204349172 408698344 664134809 817396688 1328269618 1634793376 2656539236 5313078472 10626156944 21252313888