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45198111344100 = 2235211131053569029
BaseRepresentation
bin10100100011011100000010…
…10111110000010111100100
312221000220020002111011101120
422101232001113300113210
521411011213001002400
6240043420430253540
712343312222331361
oct1221560127602744
9187026202434346
1045198111344100
11134464585a5690
12509b8440572b0
131c2b2185b9910
14b2385918d468
15535a8eb95ca0
hex291b815f05e4

45198111344100 has 144 divisors (see below), whose sum is σ = 153635650230720. Its totient is φ = 10114262668800.

The previous prime is 45198111343951. The next prime is 45198111344107. The reversal of 45198111344100 is 144311189154.

It is a super-2 number, since 2×451981113441002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45198111344107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526741615 + ... + 526827414.

Almost surely, 245198111344100 is an apocalyptic number.

It is an amenable number.

45198111344100 is an abundant number, since it is smaller than the sum of its proper divisors (108437538886620).

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

45198111344100 is a wasteful number, since it uses less digits than its factorization.

45198111344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053569070 (or 1053569063 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 45198111344100 in words is "forty-five trillion, one hundred ninety-eight billion, one hundred eleven million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 1053569029 2107138058 3160707087 4214276116 5267845145 6321414174 10535690290 11589259319 12642828348 13696397377 15803535435 21071380580 23178518638 26339225725 27392794754 31607070870 34767777957 41089192131 46357037276 52678451450 54785589508 57946296595 63214141740 68481986885 69535555914 79017677175 82178384262 105356902900 115892593190 136963973770 139071111828 150660371147 158035354350 164356768524 173838889785 205445960655 231785186380 273927947540 289731482975 301320742294 316070708700 342409934425 347677779570 410891921310 451981113441 579462965950 602641484588 684819868850 695355559140 753301855735 821783842620 869194448925 903962226882 1027229803275 1158925931900 1369639737700 1506603711470 1738388897850 1807924453764 2054459606550 2259905567205 3013207422940 3476777795700 3766509278675 4108919213100 4519811134410 7533018557350 9039622268820 11299527836025 15066037114700 22599055672050 45198111344100