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27100391904 = 25321910134889
BaseRepresentation
bin11001001111010011…
…110010100111100000
32120221200011112211200
4121033103302213200
5421000200020104
620241051241200
71646400346635
oct311723624740
976850145750
1027100391904
1110547512603
125303a49200
13272b730871
1414512d618c
15a892b5b39
hex64f4f29e0

27100391904 has 144 divisors (see below), whose sum is σ = 81219574800. Its totient is φ = 8547821568.

The previous prime is 27100391891. The next prime is 27100391933. The reversal of 27100391904 is 40919300172.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5540692 + ... + 5545580.

It is an arithmetic number, because the mean of its divisors is an integer number (564024825).

Almost surely, 227100391904 is an apocalyptic number.

27100391904 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 27100391904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40609787400).

27100391904 is an abundant number, since it is smaller than the sum of its proper divisors (54119182896).

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

27100391904 is a wasteful number, since it uses less digits than its factorization.

27100391904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 27100391904 in words is "twenty-seven billion, one hundred million, three hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1013 1368 1824 2026 2736 3039 4052 4889 5472 6078 8104 9117 9778 12156 14667 16208 18234 19247 19556 24312 29334 32416 36468 38494 39112 44001 48624 57741 58668 72936 76988 78224 88002 92891 97248 115482 117336 145872 153976 156448 173223 176004 185782 230964 234672 278673 291744 307952 346446 352008 371564 461928 469344 557346 615904 692892 704016 743128 836019 923856 1114692 1385784 1408032 1486256 1672038 1847712 2229384 2771568 2972512 3344076 4458768 4952557 5543136 6688152 8917536 9905114 13376304 14857671 19810228 26752608 29715342 39620456 44573013 59430684 79240912 89146026 94098583 118861368 158481824 178292052 188197166 237722736 282295749 356584104 376394332 475445472 564591498 713168208 752788664 846887247 1129182996 1426336416 1505577328 1693774494 2258365992 3011154656 3387548988 4516731984 6775097976 9033463968 13550195952 27100391904