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21377697588 = 2232133318719
BaseRepresentation
bin10011111010001101…
…011100011100110100
32001011211220120001100
4103322031130130310
5322240142310323
613453142130100
71354521300642
oct237215343464
961154816040
1021377697588
119080175675
124187420930
132028c48000
14106b270192
15851ba7943
hex4fa35c734

21377697588 has 144 divisors (see below), whose sum is σ = 60434483200. Its totient is φ = 6364837440.

The previous prime is 21377697581. The next prime is 21377697611. The reversal of 21377697588 is 88579677312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21377697581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2447493 + ... + 2456211.

Almost surely, 221377697588 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 21377697588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30217241600).

21377697588 is an abundant number, since it is smaller than the sum of its proper divisors (39056785612).

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

21377697588 is a wasteful number, since it uses less digits than its factorization.

21377697588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799 (or 8768 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

It can be divided in two parts, 213776 and 97588, that added together give a square (311364 = 5582).

The spelling of 21377697588 in words is "twenty-one billion, three hundred seventy-seven million, six hundred ninety-seven thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 169 186 234 279 338 372 403 468 507 558 676 806 1014 1116 1209 1521 1612 2028 2197 2418 3042 3627 4394 4836 5239 6084 6591 7254 8719 8788 10478 13182 14508 15717 17438 19773 20956 26157 26364 31434 34876 39546 47151 52314 62868 68107 78471 79092 94302 104628 113347 136214 156942 188604 204321 226694 270289 272428 313884 340041 408642 453388 540578 612963 680082 810867 817284 1020123 1081156 1225926 1360164 1473511 1621734 2040246 2432601 2451852 2947022 3243468 3513757 4080492 4420533 4865202 5894044 7027514 8841066 9730404 10541271 13261599 14055028 17682132 19155643 21082542 26523198 31623813 38311286 42165084 45678841 53046396 57466929 63247626 76622572 91357682 114933858 126495252 137036523 172400787 182715364 229867716 274073046 344801574 411109569 548146092 593824933 689603148 822219138 1187649866 1644438276 1781474799 2375299732 3562949598 5344424397 7125899196 10688848794 21377697588