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27474217368 = 23313712335323
BaseRepresentation
bin11001100101100101…
…110100100110011000
32121220201120211222020
4121211211310212120
5422231344423433
620342123454440
71661556665043
oct314545644630
977821524866
1027474217368
1110719530174
1253a9087420
13278b009470
141488c05c5a
15aac008cb3
hex665974998

27474217368 has 128 divisors (see below), whose sum is σ = 75346951680. Its totient is φ = 8297210880.

The previous prime is 27474217357. The next prime is 27474217391. The reversal of 27474217368 is 86371247472.

It is a super-2 number, since 2×274742173682 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27474217368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5158755 + ... + 5164077.

It is an arithmetic number, because the mean of its divisors is an integer number (588648060).

Almost surely, 227474217368 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 27474217368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37673475840).

27474217368 is an abundant number, since it is smaller than the sum of its proper divisors (47872734312).

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

27474217368 is a wasteful number, since it uses less digits than its factorization.

27474217368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649 (or 5645 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 51.

The spelling of 27474217368 in words is "twenty-seven billion, four hundred seventy-four million, two hundred seventeen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 233 284 312 426 466 568 699 852 923 932 1398 1704 1846 1864 2769 2796 3029 3692 5323 5538 5592 6058 7384 9087 10646 11076 12116 15969 16543 18174 21292 22152 24232 31938 33086 36348 42584 49629 63876 66172 69199 72696 99258 127752 132344 138398 198516 207597 215059 276796 377933 397032 415194 430118 553592 645177 755866 830388 860236 1133799 1240259 1290354 1511732 1660776 1720472 2267598 2480518 2580708 3023464 3720777 4535196 4913129 4961036 5161416 7441554 9070392 9826258 9922072 14739387 14883108 16123367 19652516 29478774 29766216 32246734 39305032 48370101 58957548 64493468 88058389 96740202 117915096 128986936 176116778 193480404 264175167 352233556 386960808 528350334 704467112 1056700668 1144759057 2113401336 2289518114 3434277171 4579036228 6868554342 9158072456 13737108684 27474217368