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536445563616 = 2535262126321
BaseRepresentation
bin1111100111001101010…
…01011011001011100000
31220021122210222011200000
413303212221123023200
532242120031013431
61050234550100000
753520423025014
oct7634651331340
91807583864600
10536445563616
11197561598906
1287b7264a600
133b7819b4231
141bd6d702544
15de4a5589e6
hex7ce6a5b2e0

536445563616 has 144 divisors (see below), whose sum is σ = 1582681424688. Its totient is φ = 178740172800.

The previous prime is 536445563609. The next prime is 536445563629. The reversal of 536445563616 is 616365544635.

536445563616 is a `hidden beast` number, since 5 + 3 + 6 + 44 + 556 + 36 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20367736 + ... + 20394056.

It is an arithmetic number, because the mean of its divisors is an integer number (10990843227).

Almost surely, 2536445563616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536445563616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791340712344).

536445563616 is an abundant number, since it is smaller than the sum of its proper divisors (1046235861072).

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

536445563616 is a wasteful number, since it uses less digits than its factorization.

536445563616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28967 (or 28947 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

The spelling of 536445563616 in words is "five hundred thirty-six billion, four hundred forty-five million, five hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 2621 3888 5242 7776 7863 10484 15726 20968 23589 26321 31452 41936 47178 52642 62904 70767 78963 83872 94356 105284 125808 141534 157926 188712 210568 212301 236889 251616 283068 315852 377424 421136 424602 473778 566136 631704 636903 710667 754848 842272 849204 947556 1132272 1263408 1273806 1421334 1698408 1895112 2132001 2264544 2526816 2547612 2842668 3396816 3790224 4264002 5095224 5685336 6396003 6793632 7580448 8528004 10190448 11370672 12792006 17056008 20380896 22741344 25584012 34112016 51168024 68224032 68987341 102336048 137974682 204672096 206962023 275949364 413924046 551898728 620886069 827848092 1103797456 1241772138 1655696184 1862658207 2207594912 2483544276 3311392368 3725316414 4967088552 5587974621 6622784736 7450632828 9934177104 11175949242 14901265656 16763923863 19868354208 22351898484 29802531312 33527847726 44703796968 59605062624 67055695452 89407593936 134111390904 178815187872 268222781808 536445563616