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51001105501104 = 243111289224333409
BaseRepresentation
bin10111001100010100111101…
…10001101100101110110000
320200120122202201202222001020
423212022132301230232300
523141100231002013404
6300245330122335440
713512464636654343
oct1346123661545660
9220518681688036
1051001105501104
11152834a1506360
12587843305a580
13225c4caa47385
14c846767c245a
155d69c8496ed9
hex2e629ec6cbb0

51001105501104 has 160 divisors (see below), whose sum is σ = 143910330220800. Its totient is φ = 15435543674880.

The previous prime is 51001105501091. The next prime is 51001105501111. The reversal of 51001105501104 is 40110550110015.

It is a super-2 number, since 2×510011055011042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1526551152 + ... + 1526584560.

It is an arithmetic number, because the mean of its divisors is an integer number (899439563880).

Almost surely, 251001105501104 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 51001105501104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71955165110400).

51001105501104 is an abundant number, since it is smaller than the sum of its proper divisors (92909224719696).

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

51001105501104 is a wasteful number, since it uses less digits than its factorization.

51001105501104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36963 (or 36957 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 24.

Adding to 51001105501104 its reverse (40110550110015), we get a palindrome (91111655611119).

The spelling of 51001105501104 in words is "fifty-one trillion, one billion, one hundred five million, five hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1289 2243 2578 3867 4486 5156 6729 7734 8972 10312 13458 14179 15468 17944 20624 24673 26916 28358 30936 33409 35888 42537 49346 53832 56716 61872 66818 74019 85074 98692 100227 107664 113432 133636 148038 170148 197384 200454 226864 267272 296076 340296 367499 394768 400908 534544 592152 680592 734998 801816 1102497 1184304 1469996 1603632 2204994 2891227 2939992 4409988 5782454 5879984 8673681 8819976 11564908 17347362 17639952 23129816 31803497 34694724 43064201 46259632 63606994 69389448 74936387 86128402 95410491 127213988 129192603 138778896 149872774 172256804 190820982 224809161 254427976 258385206 299745548 344513608 381641964 449618322 473706211 508855952 516770412 599491096 689027216 763283928 824300257 899236644 947412422 1033540824 1198982192 1421118633 1526567856 1648600514 1798473288 1894824844 2067081648 2472900771 2842237266 3297201028 3596946576 3789649688 4945801542 5684474532 6594402056 7579299376 9891603084 11368949064 13188804112 19783206168 22737898128 39566412336 96593002843 193186005686 289779008529 386372011372 579558017058 772744022744 1062523031273 1159116034116 1545488045488 2125046062546 2318232068232 3187569093819 4250092125092 4636464136464 6375138187638 8500184250184 12750276375276 17000368500368 25500552750552 51001105501104