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21474004545488 = 241119311211917093
BaseRepresentation
bin1001110000111110011100…
…11010011010111111010000
32211000220011022001201200202
410320133032122122333100
510303312230130423423
6113401004351034332
74344305564646215
oct470371632327720
984026138051622
1021474004545488
11692a08a815720
1224a998080b9a8
13bc9cb3b888a1
145434c1257b0c
152738c4e78728
hex1387ce69afd0

21474004545488 has 160 divisors (see below), whose sum is σ = 49325242982400. Its totient is φ = 8947620979200.

The previous prime is 21474004545467. The next prime is 21474004545503. The reversal of 21474004545488 is 88454540047412.

It is a super-3 number, since 3×214740045454883 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1256295470 + ... + 1256312562.

It is an arithmetic number, because the mean of its divisors is an integer number (308282768640).

Almost surely, 221474004545488 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 21474004545488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24662621491200).

21474004545488 is an abundant number, since it is smaller than the sum of its proper divisors (27851238436912).

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

21474004545488 is a wasteful number, since it uses less digits than its factorization.

21474004545488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29281 (or 29275 counting only the distinct ones).

The product of its (nonzero) digits is 22937600, while the sum is 56.

The spelling of 21474004545488 in words is "twenty-one trillion, four hundred seventy-four billion, four million, five hundred forty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 176 209 248 304 341 418 496 589 682 836 1178 1364 1672 2356 2728 3344 4712 5456 6479 9424 12119 12958 17093 24238 25916 34186 48476 51832 68372 96952 103664 133309 136744 188023 193904 230261 266618 273488 324767 375689 376046 460522 529883 533236 649534 751378 752092 921044 1059766 1066472 1299068 1502756 1504184 1842088 2119532 2132944 2532871 2598136 3005512 3008368 3572437 3684176 4132579 4239064 5065742 5196272 5828713 6011024 7138091 7144874 8265158 8478128 10067777 10131484 11657426 14276182 14289748 16530316 20135554 20262968 23314852 28552364 28579496 33060632 40271108 40525936 46629704 57104728 57158992 66121264 78519001 80542216 93259408 110745547 114209456 157038002 161084432 207150067 221491094 314076004 414300134 442982188 628152008 828600268 885964376 1256304016 1657200536 1771928752 2278650737 3314401072 3935851273 4557301474 6421652077 7871702546 9114602948 12843304154 15743405092 18229205896 25686608308 31486810184 36458411792 43294364003 51373216616 62973620368 70638172847 86588728006 102746433232 122011389463 141276345694 173177456012 244022778926 282552691388 346354912024 488045557852 565105382776 692709824048 976091115704 1130210765552 1342125284093 1952182231408 2684250568186 5368501136372 10737002272744 21474004545488