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15340452552 = 23327113921589
BaseRepresentation
bin11100100100101110…
…01011101011001000
31110121002202201210100
432102113023223020
5222404123440202
611014115045400
71052102460315
oct162227135310
943532681710
1015340452552
116562316067
122b815a0860
1315a623b679
14a57527d0c
155ebb6441c
hex3925cbac8

15340452552 has 96 divisors (see below), whose sum is σ = 42437304000. Its totient is φ = 5004961920.

The previous prime is 15340452511. The next prime is 15340452557. The reversal of 15340452552 is 25525404351.

15340452552 is a `hidden beast` number, since 1 + 53 + 4 + 0 + 4 + 52 + 552 = 666.

15340452552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (15340452557) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 699774 + ... + 721362.

It is an arithmetic number, because the mean of its divisors is an integer number (442055250).

Almost surely, 215340452552 is an apocalyptic number.

15340452552 is a gapful number since it is divisible by the number (12) 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 15340452552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21218652000).

15340452552 is an abundant number, since it is smaller than the sum of its proper divisors (27096851448).

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

15340452552 is a wasteful number, since it uses less digits than its factorization.

15340452552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21811 (or 21804 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 15340452552 in words is "fifteen billion, three hundred forty million, four hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 139 142 213 278 284 417 426 556 568 639 834 852 1112 1251 1278 1668 1704 2502 2556 3336 5004 5112 9869 10008 19738 21589 29607 39476 43178 59214 64767 78952 86356 88821 118428 129534 172712 177642 194301 236856 259068 355284 388602 518136 710568 777204 1532819 1554408 3000871 3065638 4598457 6001742 6131276 9002613 9196914 12003484 12262552 13795371 18005226 18393828 24006968 27007839 27590742 36010452 36787656 54015678 55181484 72020904 108031356 110362968 213061841 216062712 426123682 639185523 852247364 1278371046 1704494728 1917556569 2556742092 3835113138 5113484184 7670226276 15340452552