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133040103564465 = 32529313288594823
BaseRepresentation
bin11110001111111111010000…
…000111010010010010110001
3122110001111202120012201110100
4132033333100013102102301
5114414212113003030330
61150541440240023013
740010554534505556
oct3617772007222261
9573044676181410
10133040103564465
1139432a9a128509
1212b08091601a69
135930821758696
1424bd265300a2d
15105aa29930060
hex78ffd01d24b1

133040103564465 has 48 divisors (see below), whose sum is σ = 246249980421120. Its totient is φ = 66298071611520.

The previous prime is 133040103564413. The next prime is 133040103564469. The reversal of 133040103564465 is 564465301040331.

133040103564465 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 40 + 1 + 0 + 3 + 564 + 46 + 5 = 666.

It is not a de Polignac number, because 133040103564465 - 219 = 133040103040177 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 133040103564465.

It is not an unprimeable number, because it can be changed into a prime (133040103564469) 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, 1644256957 + ... + 1644337866.

It is an arithmetic number, because the mean of its divisors is an integer number (5130207925440).

Almost surely, 2133040103564465 is an apocalyptic number.

133040103564465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133040103564465 is a deficient number, since it is larger than the sum of its proper divisors (113209876856655).

133040103564465 is a wasteful number, since it uses less digits than its factorization.

133040103564465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288594894 (or 3288594891 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 133040103564465 in words is "one hundred thirty-three trillion, forty billion, one hundred three million, five hundred sixty-four thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 29 31 45 87 93 145 155 261 279 435 465 899 1305 1395 2697 4495 8091 13485 40455 3288594823 9865784469 16442974115 29597353407 49328922345 95369249867 101946439513 147986767035 286107749601 305839318539 476846249335 509732197565 858323248803 917517955617 1430538748005 1529196592695 2956446745877 4291616244015 4587589778085 8869340237631 14782233729385 26608020712893 44346701188155 133040103564465