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145982576493 = 3213353232
BaseRepresentation
bin1000011111110100111…
…1010101011101101101
3111221210202222020212100
42013331033111131231
54342433014421433
6151021413125313
713355404266165
oct2077517253555
9457722866770
10145982576493
1156a023a4436
1224361329839
13109c616a2a0
1470cbdc35a5
153be6066b13
hex21fd3d576d

145982576493 has 18 divisors (see below), whose sum is σ = 227090436846. Its totient is φ = 89832888432.

The previous prime is 145982576483. The next prime is 145982576507. The reversal of 145982576493 is 394675289541.

145982576493 is a `hidden beast` number, since 1 + 4 + 5 + 98 + 2 + 57 + 6 + 493 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101064860649 + 44917715844 = 317907^2 + 211938^2 .

It is not a de Polignac number, because 145982576493 - 25 = 145982576461 is a prime.

It is a super-3 number, since 3×1459825764933 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145982576493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145982576413) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4115130 + ... + 4150452.

Almost surely, 2145982576493 is an apocalyptic number.

145982576493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

145982576493 is a deficient number, since it is larger than the sum of its proper divisors (81107860353).

145982576493 is an frugal number, since it uses more digits than its factorization.

145982576493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70665 (or 35339 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 145982576493 in words is "one hundred forty-five billion, nine hundred eighty-two million, five hundred seventy-six thousand, four hundred ninety-three".

Divisors: 1 3 9 13 39 117 35323 105969 317907 459199 1377597 4132791 1247714329 3743142987 11229428961 16220286277 48660858831 145982576493