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27997669216 = 2511216934271
BaseRepresentation
bin11010000100110010…
…101000011101100000
32200021012112221220201
4122010302220131200
5424314400403331
620510103114544
72010544155526
oct320462503540
980235487821
1027997669216
1110967a55300
125514442a54
1328425b2b9a
1414d8544316
15adce55a61
hex684ca8760

27997669216 has 72 divisors (see below), whose sum is σ = 60636879072. Its totient is φ = 12715718400.

The previous prime is 27997669207. The next prime is 27997669237. The reversal of 27997669216 is 61296679972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6553161 + ... + 6557431.

It is an arithmetic number, because the mean of its divisors is an integer number (842178876).

Almost surely, 227997669216 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 27997669216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30318439536).

27997669216 is an abundant number, since it is smaller than the sum of its proper divisors (32639209856).

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

27997669216 is a wasteful number, since it uses less digits than its factorization.

27997669216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5996 (or 5977 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 64.

The spelling of 27997669216 in words is "twenty-seven billion, nine hundred ninety-seven million, six hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1693 1936 3386 3872 4271 6772 8542 13544 17084 18623 27088 34168 37246 46981 54176 68336 74492 93962 136672 148984 187924 204853 297968 375848 409706 516791 595936 751696 819412 1033582 1503392 1638824 2067164 3277648 4134328 6555296 7230803 8268656 14461606 16537312 28923212 57846424 79538833 115692848 159077666 231385696 318155332 636310664 874927163 1272621328 1749854326 2545242656 3499708652 6999417304 13998834608 27997669216