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5523481724928 = 21132693342023
BaseRepresentation
bin101000001100000100100…
…1010101000100000000000
3201120001001221100001121120
41100120021022220200000
51210444042310144203
615425241422352240
71110026012002116
oct120301112504000
921501057301546
105523481724928
11183a54a4894a2
127525a2a2b680
13310b2902801b
141514a3453ab6
1598a29abcb53
hex506092a8800

5523481724928 has 96 divisors (see below), whose sum is σ = 14780435342400. Its totient is φ = 1834315563008.

The previous prime is 5523481724927. The next prime is 5523481724941. The reversal of 5523481724928 is 8294271843255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×55234817249283 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5523481724927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18276 + ... + 3323747.

It is an arithmetic number, because the mean of its divisors is an integer number (153962868150).

Almost surely, 25523481724928 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 5523481724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7390217671200).

5523481724928 is an abundant number, since it is smaller than the sum of its proper divisors (9256953617472).

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

5523481724928 is a wasteful number, since it uses less digits than its factorization.

5523481724928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342317 (or 3342297 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 60.

The spelling of 5523481724928 in words is "five trillion, five hundred twenty-three billion, four hundred eighty-one million, seven hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 269 384 512 538 768 807 1024 1076 1536 1614 2048 2152 3072 3228 4304 6144 6456 8608 12912 17216 25824 34432 51648 68864 103296 137728 206592 275456 413184 550912 826368 1652736 3342023 6684046 10026069 13368092 20052138 26736184 40104276 53472368 80208552 106944736 160417104 213889472 320834208 427778944 641668416 855557888 899004187 1283336832 1711115776 1798008374 2566673664 2697012561 3422231552 3596016748 5133347328 5394025122 6844463104 7192033496 10266694656 10788050244 14384066992 20533389312 21576100488 28768133984 43152200976 57536267968 86304401952 115072535936 172608803904 230145071872 345217607808 460290143744 690435215616 920580287488 1380870431232 1841160574976 2761740862464 5523481724928