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14373783552 = 21134435281
BaseRepresentation
bin11010110001011111…
…01000100000000000
31101002201210212012210
431120233220200000
5213414142033202
610334144022120
71016124100332
oct153057504000
941081725183
1014373783552
116106698367
122951901940
131480ba168b
149a4db5452
15591d68c6c
hex358be8800

14373783552 has 96 divisors (see below), whose sum is σ = 38414507040. Its totient is φ = 4779540480.

The previous prime is 14373783551. The next prime is 14373783559. The reversal of 14373783552 is 25538737341.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14373783551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2719152 + ... + 2724432.

It is an arithmetic number, because the mean of its divisors is an integer number (400151115).

Almost surely, 214373783552 is an apocalyptic number.

14373783552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14373783552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19207253520).

14373783552 is an abundant number, since it is smaller than the sum of its proper divisors (24040723488).

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

14373783552 is an equidigital number, since it uses as much as digits as its factorization.

14373783552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5729 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The spelling of 14373783552 in words is "fourteen billion, three hundred seventy-three million, seven hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 443 512 768 886 1024 1329 1536 1772 2048 2658 3072 3544 5281 5316 6144 7088 10562 10632 14176 15843 21124 21264 28352 31686 42248 42528 56704 63372 84496 85056 113408 126744 168992 170112 226816 253488 337984 340224 453632 506976 675968 680448 907264 1013952 1351936 1360896 2027904 2339483 2703872 2721792 4055808 4678966 5407744 7018449 8111616 9357932 10815488 14036898 16223232 18715864 28073796 32446464 37431728 56147592 74863456 112295184 149726912 224590368 299453824 449180736 598907648 898361472 1197815296 1796722944 2395630592 3593445888 4791261184 7186891776 14373783552