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115061616661005 = 3357714643369353
BaseRepresentation
bin11010001010010111011110…
…110010011101001000001101
3120002101210010220021121021000
4122022113132302131020031
5110040132142331123010
61044414324343130513
733143633060331060
oct3212273662351015
9502353126247230
10115061616661005
11337313a2a56093
1210aa3866743a39
134c28357a10041
14205b024b6a8d7
15d4803b5777c0
hex68a5dec9d20d

115061616661005 has 128 divisors (see below), whose sum is σ = 237120303882240. Its totient is φ = 51847447196160.

The previous prime is 115061616660967. The next prime is 115061616661009. The reversal of 115061616661005 is 500166616160511.

It is not a de Polignac number, because 115061616661005 - 210 = 115061616659981 is a prime.

It is a super-2 number, since 2×1150616166610052 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115061616661009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 311337409 + ... + 311706761.

It is an arithmetic number, because the mean of its divisors is an integer number (1852502374080).

Almost surely, 2115061616661005 is an apocalyptic number.

115061616661005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115061616661005 is an abundant number, since it is smaller than the sum of its proper divisors (122058687221235).

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

115061616661005 is a wasteful number, since it uses less digits than its factorization.

115061616661005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374088 (or 374082 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 115061616661005 in words is "one hundred fifteen trillion, sixty-one billion, six hundred sixteen million, six hundred sixty-one thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 105 135 189 213 315 355 497 639 945 1065 1491 1917 2485 3195 4473 4643 7455 9585 13419 13929 22365 23215 32501 41787 67095 69645 97503 125361 162505 208935 292509 329653 369353 487515 626805 877527 988959 1108059 1462545 1648265 1846765 2307571 2585471 2966877 3324177 4387635 4944795 5540295 6922713 7756413 8900631 9972531 11537855 12927355 14834385 16620885 20768139 23269239 26224063 34613565 38782065 44503155 49862655 62304417 69807717 78672189 103840695 116346195 131120315 183568441 236016567 311522085 349038585 393360945 550705323 708049701 917842205 1180082835 1652115969 1714905979 2753526615 3540248505 4956347907 5144717937 8260579845 8574529895 12004341853 15434153811 24781739535 25723589685 36013025559 46302461433 60021709265 77170769055 108039076677 121758324509 180065127795 231512307165 324117230031 365274973527 540195383385 608791622545 852308271563 1095824920581 1620586150155 1826374867635 2556924814689 3287474761743 4261541357815 5479124602905 7670774444067 12784624073445 16437373808715 23012323332201 38353872220335 115061616661005