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27997985304 = 23321799722943
BaseRepresentation
bin11010000100110011…
…110101101000011000
32200021020011000111200
4122010303311220120
5424314441012204
620510113554200
72010546643212
oct320463655030
980236130450
1027997985304
1110968150833
125514575960
132842693a13
1414d85c75b2
15adceb9539
hex684cf5a18

27997985304 has 96 divisors (see below), whose sum is σ = 80372373120. Its totient is φ = 8774489088.

The previous prime is 27997985297. The next prime is 27997985311. The reversal of 27997985304 is 40358979972.

27997985304 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 7 + 98 + 530 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (27997985297) and next prime (27997985311).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1208857 + ... + 1231799.

It is an arithmetic number, because the mean of its divisors is an integer number (837212220).

Almost surely, 227997985304 is an apocalyptic number.

27997985304 is a gapful number since it is divisible by the number (24) 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 27997985304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40186186560).

27997985304 is an abundant number, since it is smaller than the sum of its proper divisors (52374387816).

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

27997985304 is a wasteful number, since it uses less digits than its factorization.

27997985304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23969 (or 23962 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 27997985304 in words is "twenty-seven billion, nine hundred ninety-seven million, nine hundred eighty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 997 1224 1994 2991 3988 5982 7976 8973 11964 16949 17946 22943 23928 33898 35892 45886 50847 67796 68829 71784 91772 101694 135592 137658 152541 183544 203388 206487 275316 305082 390031 406776 412974 550632 610164 780062 825948 1170093 1220328 1560124 1651896 2340186 3120248 3510279 4680372 7020558 9360744 14041116 22874171 28082232 45748342 68622513 91496684 137245026 182993368 205867539 274490052 388860907 411735078 548980104 777721814 823470156 1166582721 1555443628 1646940312 2333165442 3110887256 3499748163 4666330884 6999496326 9332661768 13998992652 27997985304