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21327198592 = 277231676197
BaseRepresentation
bin10011110111001100…
…110011100110000000
32001001022212221110011
4103313030303212000
5322134230323332
613444135514304
71353336124360
oct236714634600
961038787404
1021327198592
119054713a67
124172528994
13201b64674b
1410646869a0
1584c52ee47
hex4f7333980

21327198592 has 128 divisors (see below), whose sum is σ = 50980285440. Its totient is φ = 8689072128.

The previous prime is 21327198583. The next prime is 21327198631. The reversal of 21327198592 is 29589172312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3438438 + ... + 3444634.

It is an arithmetic number, because the mean of its divisors is an integer number (398283480).

Almost surely, 221327198592 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 21327198592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25490142720).

21327198592 is an abundant number, since it is smaller than the sum of its proper divisors (29653086848).

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

21327198592 is a wasteful number, since it uses less digits than its factorization.

21327198592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6396 counting only the distinct ones).

The product of its digits is 544320, while the sum is 49.

The spelling of 21327198592 in words is "twenty-one billion, three hundred twenty-seven million, one hundred ninety-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 167 184 224 322 334 368 448 644 668 736 896 1169 1288 1336 1472 2338 2576 2672 2944 3841 4676 5152 5344 6197 7682 9352 10304 10688 12394 15364 18704 20608 21376 24788 26887 30728 37408 43379 49576 53774 61456 74816 86758 99152 107548 122912 142531 149632 173516 198304 215096 245824 285062 347032 396608 430192 491648 570124 694064 793216 860384 997717 1034899 1140248 1388128 1720768 1995434 2069798 2280496 2776256 3441536 3990868 4139596 4560992 5552512 7244293 7981736 8279192 9121984 14488586 15963472 16558384 18243968 23802677 28977172 31926944 33116768 47605354 57954344 63853888 66233536 95210708 115908688 127707776 132467072 166618739 190421416 231817376 333237478 380842832 463634752 666474956 761685664 927269504 1332949912 1523371328 2665899824 3046742656 5331799648 10663599296 21327198592