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121645035540 = 223257109788007
BaseRepresentation
bin111000101001010011…
…0111111000000010100
3102121222122121002000200
41301102212333000110
53443112112114130
6131514415140500
711534322512250
oct1612246770024
9377878532020
10121645035540
11476534a6726
121b6aa814730
13b617c5a992
145c5da01260
15326e5ed760
hex1c529bf014

121645035540 has 144 divisors (see below), whose sum is σ = 422092000512. Its totient is φ = 27778917888.

The previous prime is 121645035527. The next prime is 121645035563. The reversal of 121645035540 is 45530546121.

121645035540 is a `hidden beast` number, since 1 + 2 + 1 + 64 + 50 + 3 + 5 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121645035495 and 121645035504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1338217 + ... + 1426223.

It is an arithmetic number, because the mean of its divisors is an integer number (2931194448).

Almost surely, 2121645035540 is an apocalyptic number.

121645035540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121645035540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211046000256).

121645035540 is an abundant number, since it is smaller than the sum of its proper divisors (300446964972).

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

121645035540 is a wasteful number, since it uses less digits than its factorization.

121645035540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89126 (or 89121 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 121645035540 in words is "one hundred twenty-one billion, six hundred forty-five million, thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1097 1260 2194 3291 4388 5485 6582 7679 9873 10970 13164 15358 16455 19746 21940 23037 30716 32910 38395 39492 46074 49365 65820 69111 76790 88007 92148 98730 115185 138222 153580 176014 197460 230370 264021 276444 345555 352028 440035 460740 528042 616049 691110 792063 880070 1056084 1232098 1320105 1382220 1584126 1760140 1848147 2464196 2640210 3080245 3168252 3696294 3960315 5280420 5544441 6160490 7392588 7920630 9240735 11088882 12320980 15841260 18481470 22177764 27722205 36962940 55444410 96543679 110888820 193087358 289631037 386174716 482718395 579262074 675805753 868893111 965436790 1158524148 1351611506 1448155185 1737786222 1930873580 2027417259 2703223012 2896310370 3379028765 3475572444 4054834518 4344465555 5792620740 6082251777 6758057530 8109669036 8688931110 10137086295 12164503554 13516115060 17377862220 20274172590 24329007108 30411258885 40548345180 60822517770 121645035540