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145835888536926 = 232737607197926041
BaseRepresentation
bin100001001010001100010000…
…010101001110110101011110
3201010100202220211002222110100
4201022030100111032311132
5123103333344431140201
61234100025435521530
742501203161263240
oct4112142025166536
9633322824088410
10145835888536926
1142516720166475
1214433b7bbb92a6
13634b35aa86ba3
1428026cd51a090
1511cd7d5a95886
hex84a31054ed5e

145835888536926 has 192 divisors, whose sum is σ = 371690357575680. Its totient is φ = 40452455877120.

The previous prime is 145835888536913. The next prime is 145835888537021. The reversal of 145835888536926 is 629635888538541.

145835888536926 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 3 + 58 + 8 + 8 + 536 + 9 + 26 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5600228466 + ... + 5600254506.

It is an arithmetic number, because the mean of its divisors is an integer number (1935887279040).

Almost surely, 2145835888536926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145835888536926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185845178787840).

145835888536926 is an abundant number, since it is smaller than the sum of its proper divisors (225854469038754).

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

145835888536926 is a wasteful number, since it uses less digits than its factorization.

145835888536926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28679 (or 28676 counting only the distinct ones).

The product of its digits is 11943936000, while the sum is 81.

The spelling of 145835888536926 in words is "one hundred forty-five trillion, eight hundred thirty-five billion, eight hundred eighty-eight million, five hundred thirty-six thousand, nine hundred twenty-six".