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105451365256044 = 223377110693129199
BaseRepresentation
bin10111111110100001001111…
…001010101100101101101100
3111211101001101221210101112020
4113332201033022230231230
5102310203344001143134
61012135404411110140
731132416064236453
oct2776411712545554
9454331357711466
10105451365256044
1130666744637165
12b9b1220a42350
1346ac0373c0672
141c07c32517b9a
15c2d07305eb49
hex5fe84f2acb6c

105451365256044 has 96 divisors (see below), whose sum is σ = 256502276352000. Its totient is φ = 33687193317120.

The previous prime is 105451365255991. The next prime is 105451365256049. The reversal of 105451365256044 is 440652563154501.

It is a super-2 number, since 2×1054513652560442 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105451365256049) 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, 32134557 + ... + 35263755.

It is an arithmetic number, because the mean of its divisors is an integer number (2671898712000).

Almost surely, 2105451365256044 is an apocalyptic number.

It is an amenable number.

105451365256044 is an abundant number, since it is smaller than the sum of its proper divisors (151050911095956).

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

105451365256044 is a wasteful number, since it uses less digits than its factorization.

105451365256044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130383 (or 3130381 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 105451365256044 in words is "one hundred five trillion, four hundred fifty-one billion, three hundred sixty-five million, two hundred fifty-six thousand, forty-four".

Divisors: 1 2 3 4 6 12 37 71 74 111 142 148 213 222 284 426 444 852 1069 2138 2627 3207 4276 5254 6414 7881 10508 12828 15762 31524 39553 75899 79106 118659 151798 158212 227697 237318 303596 455394 474636 910788 2808263 3129199 5616526 6258398 8424789 9387597 11233052 12516796 16849578 18775194 33699156 37550388 115780363 222173129 231560726 347341089 444346258 463121452 666519387 694682178 888692516 1333038774 1389364356 2666077548 3345113731 6690227462 8220405773 10035341193 13380454924 16440811546 20070682386 24661217319 32881623092 40141364772 49322434638 98644869276 123769208047 237503074901 247538416094 371307624141 475006149802 495076832188 712509224703 742615248282 950012299604 1425018449406 1485230496564 2850036898812 8787613771337 17575227542674 26362841314011 35150455085348 52725682628022 105451365256044