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20069496576 = 283328110333
BaseRepresentation
bin10010101100001111…
…000011011100000000
31220210200022001122000
4102230033003130000
5312100242342301
613115250544000
71310224622553
oct225417033400
956720261560
1020069496576
118569786908
123a81298000
131b7abcb27c
14d8561669a
157c6de7786
hex4ac3c3700

20069496576 has 144 divisors (see below), whose sum is σ = 59566002720. Its totient is φ = 6665379840.

The previous prime is 20069496569. The next prime is 20069496589. The reversal of 20069496576 is 67569496002.

20069496576 is a `hidden beast` number, since 2 + 0 + 0 + 69 + 4 + 9 + 6 + 576 = 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 15 ways as a sum of consecutive naturals, for example, 1937106 + ... + 1947438.

Almost surely, 220069496576 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 20069496576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29783001360).

20069496576 is an abundant number, since it is smaller than the sum of its proper divisors (39496506144).

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

20069496576 is a wasteful number, since it uses less digits than its factorization.

20069496576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10639 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 20069496576 in words is "twenty billion, sixty-nine million, four hundred ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 281 288 384 432 562 576 768 843 864 1124 1152 1686 1728 2248 2304 2529 3372 3456 4496 5058 6744 6912 7587 8992 10116 10333 13488 15174 17984 20232 20666 26976 30348 30999 35968 40464 41332 53952 60696 61998 71936 80928 82664 92997 107904 121392 123996 161856 165328 185994 215808 242784 247992 278991 323712 330656 371988 485568 495984 557982 647424 661312 743976 971136 991968 1115964 1322624 1487952 1942272 1983936 2231928 2645248 2903573 2975904 3967872 4463856 5807146 5951808 7935744 8710719 8927712 11614292 11903616 17421438 17855424 23228584 23807232 26132157 34842876 35710848 46457168 52264314 69685752 71421696 78396471 92914336 104528628 139371504 156792942 185828672 209057256 278743008 313585884 371657344 418114512 557486016 627171768 743314688 836229024 1114972032 1254343536 1672458048 2229944064 2508687072 3344916096 5017374144 6689832192 10034748288 20069496576