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99727111332432 = 24331867123647453
BaseRepresentation
bin10110101011001110000111…
…000010111010001001010000
3111002002211002212010212222000
4112223032013002322021100
5101032412111000114212
6552034000311314000
730002021533554243
oct2653160702721120
9432084085125860
1099727111332432
112985a037515241
12b22794797b900
1343852c30a889c
141a8ab6461325a
15b7e1e73381dc
hex5ab3870ba250

99727111332432 has 80 divisors (see below), whose sum is σ = 286407070649280. Its totient is φ = 33224564942208.

The previous prime is 99727111332389. The next prime is 99727111332437. The reversal of 99727111332432 is 23423311172799.

99727111332432 is a `hidden beast` number, since 9 + 9 + 7 + 2 + 71 + 1 + 133 + 2 + 432 = 666.

It is a super-2 number, since 2×997271113324322 (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 not an unprimeable number, because it can be changed into a prime (99727111332437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61017183 + ... + 62630270.

It is an arithmetic number, because the mean of its divisors is an integer number (3580088383116).

Almost surely, 299727111332432 is an apocalyptic number.

It is an amenable number.

99727111332432 is an abundant number, since it is smaller than the sum of its proper divisors (186679959316848).

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

99727111332432 is a wasteful number, since it uses less digits than its factorization.

99727111332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123649337 (or 123649325 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 99727111332432 in words is "ninety-nine trillion, seven hundred twenty-seven billion, one hundred eleven million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1867 3734 5601 7468 11202 14936 16803 22404 29872 33606 44808 50409 67212 89616 100818 134424 201636 268848 403272 806544 123647453 247294906 370942359 494589812 741884718 989179624 1112827077 1483769436 1978359248 2225654154 2967538872 3338481231 4451308308 5935077744 6676962462 8902616616 13353924924 17805233232 26707849848 53415699696 230849794751 461699589502 692549384253 923399179004 1385098768506 1846798358008 2077648152759 2770197537012 3693596716016 4155296305518 5540395074024 6232944458277 8310592611036 11080790148048 12465888916554 16621185222072 24931777833108 33242370444144 49863555666216 99727111332432