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101941713409536 = 293371113194371127
BaseRepresentation
bin10111001011011100100111…
…100111011001011000000000
3111100221112101021122210112000
4113023130213213121120000
5101330203112113101121
61000451213203504000
730321021455614560
oct2713344747313000
9440845337583460
10101941713409536
112a533268671940
12b524ba1688000
1344b60a6c13120
141b260105c4da0
15bbbb1069b526
hex5cb7279d9600

101941713409536 has 5120 divisors, whose sum is σ = 446025852518400. Its totient is φ = 22122558259200.

The previous prime is 101941713409511. The next prime is 101941713409603. The reversal of 101941713409536 is 635904317149101.

It is a happy number.

101941713409536 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 4 + 1 + 71 + 34 + 0 + 9 + 536 = 666.

It is a super-2 number, since 2×1019417134095362 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 802690656705 + ... + 802690656831.

It is an arithmetic number, because the mean of its divisors is an integer number (87114424320).

Almost surely, 2101941713409536 is an apocalyptic number.

101941713409536 is a gapful number since it is divisible by the number (16) 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 101941713409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223012926259200).

101941713409536 is an abundant number, since it is smaller than the sum of its proper divisors (344084139108864).

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

101941713409536 is a wasteful number, since it uses less digits than its factorization.

101941713409536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 101941713409536 in words is "one hundred one trillion, nine hundred forty-one billion, seven hundred thirteen million, four hundred nine thousand, five hundred thirty-six".