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161122752346512 = 243112359224875997
BaseRepresentation
bin100100101000101001010000…
…011010110011100110010000
3210010111011222122022202212010
4210220221100122303212100
5132104313344100042022
61330402434240302520
745636510001565205
oct4450512032634620
9703434878282763
10161122752346512
114737a859268a30
12160a2803911a40
136bb9a6c45b218
142bb0550675cac
15139628c51450c
hex928a506b3990

161122752346512 has 160 divisors (see below), whose sum is σ = 481846298434560. Its totient is φ = 45910683343360.

The previous prime is 161122752346481. The next prime is 161122752346519. The reversal of 161122752346512 is 215643257221161.

It is a super-2 number, since 2×1611227523465122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (161122752346519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111721503 + ... + 113154494.

It is an arithmetic number, because the mean of its divisors is an integer number (3011539365216).

Almost surely, 2161122752346512 is an apocalyptic number.

161122752346512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

161122752346512 is an abundant number, since it is smaller than the sum of its proper divisors (320723546088048).

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

161122752346512 is a wasteful number, since it uses less digits than its factorization.

161122752346512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224876101 (or 224876095 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 161122752346512 in words is "one hundred sixty-one trillion, one hundred twenty-two billion, seven hundred fifty-two million, three hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 59 66 69 88 92 118 132 138 176 177 184 236 253 264 276 354 368 472 506 528 552 649 708 759 944 1012 1104 1298 1357 1416 1518 1947 2024 2596 2714 2832 3036 3894 4048 4071 5192 5428 6072 7788 8142 10384 10856 12144 14927 15576 16284 21712 29854 31152 32568 44781 59708 65136 89562 119416 179124 238832 358248 716496 224875997 449751994 674627991 899503988 1349255982 1799007976 2473635967 2698511964 3598015952 4947271934 5172147931 5397023928 7420907901 9894543868 10344295862 10794047856 13267683823 14841815802 15516443793 19789087736 20688591724 26535367646 29683631604 31032887586 39578175472 39803051469 41377183448 53070735292 56893627241 59367263208 62065775172 79606102938 82754366896 106141470584 113787254482 118734526416 124131550344 145944522053 159212205876 170680881723 212282941168 227574508964 248263100688 291889044106 305156727929 318424411752 341361763446 437833566159 455149017928 583778088212 610313455858 636848823504 682723526892 875667132318 910298035856 915470183787 1167556176424 1220626911716 1365447053784 1751334264636 1830940367574 2335112352848 2441253823432 2730894107568 3356724007219 3502668529272 3661880735148 4882507646864 6713448014438 7005337058544 7323761470296 10070172021657 13426896028876 14647522940592 20140344043314 26853792057752 40280688086628 53707584115504 80561376173256 161122752346512