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413874898632 = 233213442174037
BaseRepresentation
bin1100000010111001101…
…11011100011011001000
31110120021122122020202100
412001130313130123020
523240103433224012
6514044223233400
741621130410346
oct6013467343310
91416248566670
10413874898632
1114a583655078
1268265a48860
133004a058330
1416062bd2996
15ab74a698dc
hex605cddc6c8

413874898632 has 48 divisors (see below), whose sum is σ = 1207135123740. Its totient is φ = 127346122368.

The previous prime is 413874898609. The next prime is 413874898637. The reversal of 413874898632 is 236898478314.

413874898632 is a `hidden beast` number, since 4 + 13 + 87 + 489 + 8 + 63 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 315927181476 + 97947717156 = 562074^2 + 312966^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 413874898632.

It is not an unprimeable number, because it can be changed into a prime (413874898637) 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 11 ways as a sum of consecutive naturals, for example, 221086083 + ... + 221087954.

Almost surely, 2413874898632 is an apocalyptic number.

It is an amenable number.

413874898632 is an abundant number, since it is smaller than the sum of its proper divisors (793260225108).

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

413874898632 is a wasteful number, since it uses less digits than its factorization.

413874898632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442174062 (or 442174055 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 413874898632 in words is "four hundred thirteen billion, eight hundred seventy-four million, eight hundred ninety-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 442174037 884348074 1326522111 1768696148 2653044222 3537392296 3979566333 5306088444 5748262481 7959132666 10612176888 11496524962 15918265332 17244787443 22993049924 31836530664 34489574886 45986099848 51734362329 68979149772 103468724658 137958299544 206937449316 413874898632