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21943406491248 = 24311371987565289
BaseRepresentation
bin1001111110101000110001…
…11100101111011001110000
32212200202202201122020101010
410333110120330233121300
510334010044030204443
6114400354535510520
74423234032443424
oct477243074573160
985622681566333
1021943406491248
116aa01679a0090
122564942528440
13c3233ca77508
1455c0d0834b84
15280be96eb733
hex13f518f2f670

21943406491248 has 160 divisors (see below), whose sum is σ = 63543950426880. Its totient is φ = 6466532935680.

The previous prime is 21943406491243. The next prime is 21943406491249. The reversal of 21943406491248 is 84219460434912.

It is a super-4 number, since 4×219434064912484 (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21943406491243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38535388 + ... + 39100676.

It is an arithmetic number, because the mean of its divisors is an integer number (397149690168).

Almost surely, 221943406491248 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 21943406491248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31771975213440).

21943406491248 is an abundant number, since it is smaller than the sum of its proper divisors (41600543935632).

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

21943406491248 is a wasteful number, since it uses less digits than its factorization.

21943406491248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567335 (or 567329 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 21943406491248 in words is "twenty-one trillion, nine hundred forty-three billion, four hundred six million, four hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 1987 2442 3256 3974 4884 5961 6512 7948 9768 11922 15896 19536 21857 23844 31792 43714 47688 65571 73519 87428 95376 131142 147038 174856 220557 262284 294076 349712 441114 524568 565289 588152 808709 882228 1049136 1130578 1176304 1617418 1695867 1764456 2261156 2426127 3234836 3391734 3528912 4522312 4852254 6218179 6469672 6783468 9044624 9704508 12436358 12939344 13566936 18654537 19409016 20915693 24872716 27133872 37309074 38818032 41831386 49745432 62747079 74618148 83662772 99490864 125494158 149236296 167325544 230072623 250988316 298472592 334651088 460145246 501976632 690217869 920290492 1003953264 1123229243 1380435738 1840580984 2246458486 2760871476 3369687729 3681161968 4492916972 5521742952 6739375458 8985833944 11043485904 12355521673 13478750916 17971667888 24711043346 26957501832 37066565019 41559481991 49422086692 53915003664 74133130038 83118963982 98844173384 124678445973 148266260076 166237927964 197688346768 249356891946 296532520152 332475855928 457154301901 498713783892 593065040304 664951711856 914308603802 997427567784 1371462905703 1828617207604 1994855135568 2742925811406 3657234415208 5485851622812 7314468830416 10971703245624 21943406491248