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217113672704 = 21017112911047
BaseRepresentation
bin1100101000110011111…
…0111011110000000000
3202202102000200100001012
43022030332323300000
512024122100011304
6243423551300052
721454164524345
oct3121476736000
9682360610035
10217113672704
118409400a865
12360b2b1a628
1317620a32526
14a718d107cc
1559aab0216e
hex328cfbbc00

217113672704 has 88 divisors (see below), whose sum is σ = 459994307040. Its totient is φ = 102071402496.

The previous prime is 217113672703. The next prime is 217113672709. The reversal of 217113672704 is 407276311712.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217113672703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19648109 + ... + 19659155.

Almost surely, 2217113672704 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 217113672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229997153520).

217113672704 is an abundant number, since it is smaller than the sum of its proper divisors (242880634336).

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

217113672704 is a wasteful number, since it uses less digits than its factorization.

217113672704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12213 (or 12195 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 217113672704 in words is "two hundred seventeen billion, one hundred thirteen million, six hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1129 2176 2258 4352 4516 8704 9032 11047 17408 18064 19193 22094 36128 38386 44188 72256 76772 88376 144512 153544 176752 187799 289024 307088 353504 375598 578048 614176 707008 751196 1156096 1228352 1414016 1502392 2456704 2828032 3004784 4913408 5656064 6009568 9826816 11312128 12019136 12472063 19653632 24038272 24944126 48076544 49888252 96153088 99776504 192306176 199553008 212025071 399106016 424050142 798212032 848100284 1596424064 1696200568 3192848128 3392401136 6385696256 6784802272 12771392512 13569604544 27139209088 54278418176 108556836352 217113672704