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27304709712 = 2437615212557
BaseRepresentation
bin11001011011011111…
…001100111001010000
32121110220121222011220
4121123133030321100
5421410001202322
620313230405040
71654431126450
oct313337147120
977426558156
1027304709712
11106418845a5
125360360780
132761b6a287
1414704bdd60
15a9c1c455c
hex65b7cce50

27304709712 has 160 divisors (see below), whose sum is σ = 82124815104. Its totient is φ = 7655731200.

The previous prime is 27304709711. The next prime is 27304709713. The reversal of 27304709712 is 21790740372.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27304709711) and next prime (27304709713).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27304709711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10677138 + ... + 10679694.

Almost surely, 227304709712 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 27304709712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41062407552).

27304709712 is an abundant number, since it is smaller than the sum of its proper divisors (54820105392).

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

27304709712 is a wasteful number, since it uses less digits than its factorization.

27304709712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 27304709712 in words is "twenty-seven billion, three hundred four million, seven hundred nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 521 732 854 976 1042 1281 1464 1563 1708 2084 2557 2562 2928 3126 3416 3647 4168 5114 5124 6252 6832 7294 7671 8336 10228 10248 10941 12504 14588 15342 17899 20456 20496 21882 25008 29176 30684 31781 35798 40912 43764 53697 58352 61368 63562 71596 87528 95343 107394 122736 127124 143192 155977 175056 190686 214788 222467 254248 286384 311954 381372 429576 444934 467931 508496 623908 667401 762744 859152 889868 935862 1091839 1247816 1332197 1334802 1525488 1779736 1871724 2183678 2495632 2664394 2669604 3275517 3559472 3743448 3996591 4367356 5328788 5339208 6551034 7486896 7993182 8734712 9325379 10657576 10678416 13102068 15986364 17469424 18650758 21315152 26204136 27976137 31972728 37301516 52408272 55952274 63945456 74603032 81264017 111904548 149206064 162528034 223809096 243792051 325056068 447618192 487584102 568848119 650112136 975168204 1137696238 1300224272 1706544357 1950336408 2275392476 3413088714 3900672816 4550784952 6826177428 9101569904 13652354856 27304709712