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21552032064 = 2631743153557
BaseRepresentation
bin10100000100100110…
…011110100101000000
32001121222221122222210
4110010212132211000
5323114310011224
613522330502120
71362036151503
oct240446364500
961558848883
1021552032064
11915a618752
124215894940
1320560b71c4
14108649113a
15862142429
hex50499e940

21552032064 has 112 divisors (see below), whose sum is σ = 61781911488. Its totient is φ = 6604136448.

The previous prime is 21552032053. The next prime is 21552032119. The reversal of 21552032064 is 46023025512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63574 + ... + 217130.

Almost surely, 221552032064 is an apocalyptic number.

21552032064 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 21552032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30890955744).

21552032064 is an abundant number, since it is smaller than the sum of its proper divisors (40229879424).

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

21552032064 is a wasteful number, since it uses less digits than its factorization.

21552032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153632 (or 153622 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 21552032064 its reverse (46023025512), we get a palindrome (67575057576).

The spelling of 21552032064 in words is "twenty-one billion, five hundred fifty-two million, thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 129 136 172 192 204 258 272 344 408 516 544 688 731 816 1032 1088 1376 1462 1632 2064 2193 2752 2924 3264 4128 4386 5848 8256 8772 11696 17544 23392 35088 46784 70176 140352 153557 307114 460671 614228 921342 1228456 1842684 2456912 2610469 3685368 4913824 5220938 6602951 7370736 7831407 9827648 10441876 13205902 14741472 15662814 19808853 20883752 26411804 29482944 31325628 39617706 41767504 52823608 62651256 79235412 83535008 105647216 112250167 125302512 158470824 167070016 211294432 224500334 250605024 316941648 336750501 422588864 449000668 501210048 633883296 673501002 898001336 1267766592 1347002004 1796002672 2694004008 3592005344 5388008016 7184010688 10776016032 21552032064