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1045524616434 = 237265789963
BaseRepresentation
bin11110011011011100001…
…11111001010011110010
310200221200102000120000000
433031232013321103302
5114112213300211214
62120150221010430
7135352034415204
oct17155607712362
93627612016000
101045524616434
1137344a431041
1214a7680b3a16
1377791aa04bc
1438864638774
151c2e3281809
hexf36e1f94f2

1045524616434 has 64 divisors (see below), whose sum is σ = 2352983230080. Its totient is φ = 348373166976.

The previous prime is 1045524616403. The next prime is 1045524616439. The reversal of 1045524616434 is 4346164255401.

1045524616434 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 5 + 24 + 616 + 4 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1045524616434.

It is not an unprimeable number, because it can be changed into a prime (1045524616439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11576737 + ... + 11666699.

It is an arithmetic number, because the mean of its divisors is an integer number (36765362970).

Almost surely, 21045524616434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045524616434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176491615040).

1045524616434 is an abundant number, since it is smaller than the sum of its proper divisors (1307458613646).

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

1045524616434 is an frugal number, since it uses more digits than its factorization.

1045524616434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92643 (or 92625 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 1045524616434 in words is "one trillion, forty-five billion, five hundred twenty-four million, six hundred sixteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 2657 4374 5314 7971 15942 23913 47826 71739 89963 143478 179926 215217 269889 430434 539778 645651 809667 1291302 1619334 1936953 2429001 3873906 4858002 5810859 7287003 11621718 14574006 21861009 43722018 65583027 131166054 196749081 239031691 393498162 478063382 717095073 1434190146 2151285219 4302570438 6453855657 12907711314 19361566971 38723133942 58084700913 116169401826 174254102739 348508205478 522762308217 1045524616434