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12455801079084 = 22341118891850129
BaseRepresentation
bin1011010101000001011110…
…0110010100010100101100
31122002202121012012222220000
42311100113212110110230
53113033440034012314
642254041021024300
72423621235163206
oct265202746242454
948082535188800
1012455801079084
113a72525a94890
1214920266b5090
136c47668995cc
14310c14add776
1516900d602209
hexb541799452c

12455801079084 has 120 divisors (see below), whose sum is σ = 35540923294800. Its totient is φ = 3772484997120.

The previous prime is 12455801079041. The next prime is 12455801079107. The reversal of 12455801079084 is 48097010855421.

12455801079084 is a `hidden beast` number, since 1 + 2 + 4 + 558 + 0 + 1 + 0 + 7 + 9 + 0 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12455801079084.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5807332 + ... + 7657460.

It is an arithmetic number, because the mean of its divisors is an integer number (296174360790).

Almost surely, 212455801079084 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 12455801079084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17770461647400).

12455801079084 is an abundant number, since it is smaller than the sum of its proper divisors (23085122215716).

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

12455801079084 is a wasteful number, since it uses less digits than its factorization.

12455801079084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852045 (or 1852034 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 12455801079084 in words is "twelve trillion, four hundred fifty-five billion, eight hundred one million, seventy-nine thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 1889 3564 3778 5667 7556 11334 17001 20779 22668 34002 41558 51003 62337 68004 83116 102006 124674 153009 187011 204012 249348 306018 374022 561033 612036 748044 1122066 1683099 1850129 2244132 3366198 3700258 5550387 6732396 7400516 11100774 16651161 20351419 22201548 33302322 40702838 49953483 61054257 66604644 81405676 99906966 122108514 149860449 183162771 199813932 244217028 299720898 366325542 549488313 599441796 732651084 1098976626 1648464939 2197953252 3296929878 3494893681 6593859756 6989787362 10484681043 13979574724 20969362086 31454043129 38443830491 41938724172 62908086258 76887660982 94362129387 115331491473 125816172516 153775321964 188724258774 230662982946 283086388161 345994474419 377448517548 461325965892 566172776322 691988948838 1037983423257 1132345552644 1383977897676 2075966846514 3113950269771 4151933693028 6227900539542 12455801079084