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5001114035104 = 251137684156131
BaseRepresentation
bin100100011000110100110…
…1000000010001110100000
3122201002202020100222021121
41020301221220002032200
51123414240143110404
614345251410102024
71024214160621655
oct110615150021640
918632666328247
105001114035104
111658a62548630
126892bab7a914
132a37abb1a335
141340ab6d9c2c
158a15542ae54
hex48c69a023a0

5001114035104 has 96 divisors (see below), whose sum is σ = 11033136176832. Its totient is φ = 2211432192000.

The previous prime is 5001114035101. The next prime is 5001114035131. The reversal of 5001114035104 is 4015304111005.

It is a super-2 number, since 2×50011140351042 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5001114035101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89069119 + ... + 89125249.

It is an arithmetic number, because the mean of its divisors is an integer number (114928501842).

Almost surely, 25001114035104 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 5001114035104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516568088416).

5001114035104 is an abundant number, since it is smaller than the sum of its proper divisors (6032022141728).

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

5001114035104 is a wasteful number, since it uses less digits than its factorization.

5001114035104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63030 (or 63022 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 5001114035104 its reverse (4015304111005), we get a palindrome (9016418146109).

The spelling of 5001114035104 in words is "five trillion, one billion, one hundred fourteen million, thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 3256 6512 6841 13024 13682 27364 54728 56131 75251 109456 112262 150502 218912 224524 253117 301004 449048 506234 602008 617441 898096 1012468 1204016 1234882 1796192 2024936 2076847 2408032 2469764 2784287 4049872 4153694 4939528 5568574 8099744 8307388 9879056 11137148 16614776 19758112 22274296 22845317 33229552 44548592 45690634 66459104 89097184 91381268 182762536 365525072 383992171 731050144 767984342 1535968684 3071937368 4223913881 6143874736 8447827762 12287749472 14207710327 16895655524 28415420654 33791311048 56830841308 67582622096 113661682616 135165244192 156284813597 227323365232 312569627194 454646730464 625139254388 1250278508776 2500557017552 5001114035104