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13493760552 = 23322910362743
BaseRepresentation
bin11001001000100101…
…00111001000101000
31021211101220001121100
430210102213020220
5210113400314202
610110550041400
7655250033526
oct144422471050
937741801540
1013493760552
1157a4970028
122747049260
131370780acc
14920179316
1553e98641c
hex3244a7228

13493760552 has 96 divisors (see below), whose sum is σ = 38173449600. Its totient is φ = 4300587648.

The previous prime is 13493760493. The next prime is 13493760571. The reversal of 13493760552 is 25506739431.

13493760552 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 37 + 60 + 552 = 666.

It is a super-2 number, since 2×134937605522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13493760498 and 13493760507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183693 + ... + 246435.

It is an arithmetic number, because the mean of its divisors is an integer number (397640100).

Almost surely, 213493760552 is an apocalyptic number.

13493760552 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 13493760552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19086724800).

13493760552 is an abundant number, since it is smaller than the sum of its proper divisors (24679689048).

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

13493760552 is a wasteful number, since it uses less digits than its factorization.

13493760552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62887 (or 62880 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 13493760552 in words is "thirteen billion, four hundred ninety-three million, seven hundred sixty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 103 116 174 206 232 261 309 348 412 522 618 696 824 927 1044 1236 1854 2088 2472 2987 3708 5974 7416 8961 11948 17922 23896 26883 35844 53766 62743 71688 107532 125486 188229 215064 250972 376458 501944 564687 752916 1129374 1505832 1819547 2258748 3639094 4517496 5458641 6462529 7278188 10917282 12925058 14556376 16375923 19387587 21834564 25850116 32751846 38775174 43669128 51700232 58162761 65503692 77550348 116325522 131007384 155100696 187413341 232651044 374826682 465302088 562240023 749653364 1124480046 1499306728 1686720069 2248960092 3373440138 4497920184 6746880276 13493760552