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27704701248 = 263740575081
BaseRepresentation
bin11001110011010101…
…000011000101000000
32122111210021122102020
4121303111003011000
5423214400414443
620421035521440
72000356034520
oct316325030500
978453248366
1027704701248
1110827644114
1254522b9280
1327c69a7a63
1414ab681680
15ac2385583
hex673543140

27704701248 has 112 divisors (see below), whose sum is σ = 83810880384. Its totient is φ = 7912120320.

The previous prime is 27704701231. The next prime is 27704701279. The reversal of 27704701248 is 84210740772.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5450068 + ... + 5455148.

It is an arithmetic number, because the mean of its divisors is an integer number (748311432).

Almost surely, 227704701248 is an apocalyptic number.

27704701248 is a gapful number since it is divisible by the number (28) 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 27704701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41905440192).

27704701248 is an abundant number, since it is smaller than the sum of its proper divisors (56106179136).

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

27704701248 is a wasteful number, since it uses less digits than its factorization.

27704701248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 42.

The spelling of 27704701248 in words is "twenty-seven billion, seven hundred four million, seven hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 4057 5081 8114 10162 12171 15243 16228 20324 24342 28399 30486 32456 35567 40648 48684 56798 60972 64912 71134 81296 85197 97368 106701 113596 121944 129824 142268 162592 170394 194736 213402 227192 243888 259648 284536 325184 340788 389472 426804 454384 487776 569072 681576 778944 853608 908768 975552 1138144 1363152 1707216 1817536 2276288 2726304 3414432 5452608 6828864 20613617 41227234 61840851 82454468 123681702 144295319 164908936 247363404 288590638 329817872 432885957 494726808 577181276 659635744 865771914 989453616 1154362552 1319271488 1731543828 1978907232 2308725104 3463087656 3957814464 4617450208 6926175312 9234900416 13852350624 27704701248