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5017100926464 = 29331132993351
BaseRepresentation
bin100100100000010001010…
…0001001011111000000000
3122202122000101112012102000
41021000202201023320000
51124200010314121324
614400454020424000
71025321303144454
oct111004241137000
918678011465360
105017100926464
11166481674a740
12690420b48000
132a5158c63a73
14134b86a18664
158a78dbd29c9
hex4902284be00

5017100926464 has 160 divisors (see below), whose sum is σ = 16201055566080. Its totient is φ = 1520333568000.

The previous prime is 5017100926463. The next prime is 5017100926471. The reversal of 5017100926464 is 4646290017105.

5017100926464 is a `hidden beast` number, since 50 + 17 + 100 + 9 + 26 + 464 = 666.

It is a super-3 number, since 3×50171009264643 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5017100926463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16344612 + ... + 16648739.

It is an arithmetic number, because the mean of its divisors is an integer number (101256597288).

Almost surely, 25017100926464 is an apocalyptic number.

5017100926464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5017100926464 is an abundant number, since it is smaller than the sum of its proper divisors (11183954639616).

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

5017100926464 is a wasteful number, since it uses less digits than its factorization.

5017100926464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32993389 (or 32993367 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5017100926464 in words is "five trillion, seventeen billion, one hundred million, nine hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 38016 50688 76032 152064 32993351 65986702 98980053 131973404 197960106 263946808 296940159 362926861 395920212 527893616 593880318 725853722 791840424 890820477 1055787232 1088780583 1187760636 1451707444 1583680848 1781640954 2111574464 2177561166 2375521272 2903414888 3167361696 3266341749 3563281908 4223148928 4355122332 4751042544 5806829776 6334723392 6532683498 7126563816 8446297856 8710244664 9502085088 9799025247 11613659552 12669446784 13065366996 14253127632 16892595712 17420489328 19004170176 19598050494 23227319104 25338893568 26130733992 28506255264 34840978656 38008340352 39196100988 46454638208 50677787136 52261467984 57012510528 69681957312 76016680704 78392201976 92909276416 104522935968 114025021056 139363914624 152033361408 156784403952 185818552832 209045871936 228050042112 278727829248 313568807904 418091743872 456100084224 557455658496 627137615808 836183487744 1254275231616 1672366975488 2508550463232 5017100926464