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20049178416 = 24361137151331
BaseRepresentation
bin10010101011000001…
…100010111100110000
31220202021001210100120
4102223001202330300
5312030042202131
613113243250240
71306560130131
oct225301427460
956667053316
1020049178416
118559269543
123a76519980
131b769360a7
14d82a47c88
157c5232496
hex4ab062f30

20049178416 has 160 divisors (see below), whose sum is σ = 53539478016. Its totient is φ = 6462720000.

The previous prime is 20049178411. The next prime is 20049178441. The reversal of 20049178416 is 61487194002.

It is not an unprimeable number, because it can be changed into a prime (20049178411) 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, 60571371 + ... + 60571701.

Almost surely, 220049178416 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 20049178416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26769739008).

20049178416 is an abundant number, since it is smaller than the sum of its proper divisors (33490299600).

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

20049178416 is a wasteful number, since it uses less digits than its factorization.

20049178416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 20049178416 in words is "twenty billion, forty-nine million, one hundred seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 137 151 183 244 274 302 331 366 411 453 488 548 604 662 732 822 906 976 993 1096 1208 1324 1464 1644 1812 1986 2192 2416 2648 2928 3288 3624 3972 5296 6576 7248 7944 8357 9211 15888 16714 18422 20191 20687 25071 27633 33428 36844 40382 41374 45347 49981 50142 55266 60573 62061 66856 73688 80764 82748 90694 99962 100284 110532 121146 124122 133712 136041 147376 149943 161528 165496 181388 199924 200568 221064 242292 248244 272082 299886 323056 330992 362776 399848 401136 442128 484584 496488 544164 599772 725552 799696 969168 992976 1088328 1199544 1261907 2176656 2399088 2523814 2766167 3048841 3785721 5047628 5532334 6097682 6847397 7571442 8298501 9146523 10095256 11064668 12195364 13694794 15142884 16597002 18293046 20190512 20542191 22129336 24390728 27389588 30285768 33194004 36586092 41084382 44258672 48781456 54779176 60571536 66388008 73172184 82168764 109558352 132776016 146344368 164337528 328675056 417691217 835382434 1253073651 1670764868 2506147302 3341529736 5012294604 6683059472 10024589208 20049178416