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132582225555 = 32513469148313
BaseRepresentation
bin111101101111010000…
…1000011011010010011
3110200012212211220011100
41323132201003122103
54133012022204210
6140524001115443
712402340215513
oct1733641033223
9420185756140
10132582225555
115125623443a
1221841628b83
13c66bb63350
1465ba401843
1536ae8d25c0
hex1ede843693

132582225555 has 48 divisors (see below), whose sum is σ = 247544702496. Its totient is φ = 65255984640.

The previous prime is 132582225469. The next prime is 132582225557. The reversal of 132582225555 is 555522285231.

132582225555 is a `hidden beast` number, since 1 + 3 + 2 + 58 + 22 + 25 + 555 = 666.

It is not a de Polignac number, because 132582225555 - 210 = 132582224531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 132582225555.

It is not an unprimeable number, because it can be changed into a prime (132582225557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2720079 + ... + 2768391.

It is an arithmetic number, because the mean of its divisors is an integer number (5157181302).

Almost surely, 2132582225555 is an apocalyptic number.

132582225555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132582225555 is a deficient number, since it is larger than the sum of its proper divisors (114962476941).

132582225555 is a wasteful number, since it uses less digits than its factorization.

132582225555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53028 (or 53025 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

The spelling of 132582225555 in words is "one hundred thirty-two billion, five hundred eighty-two million, two hundred twenty-five thousand, five hundred fifty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 4691 14073 23455 42219 48313 60983 70365 144939 182949 211095 241565 304915 434817 548847 628069 724695 914745 1884207 2174085 2744235 3140345 5652621 9421035 28263105 226636283 679908849 1133181415 2039726547 2946271679 3399544245 8838815037 10198632735 14731358395 26516445111 44194075185 132582225555