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165378230496 = 2533317603817
BaseRepresentation
bin1001101000000101001…
…1111000100011100000
3120210212111022120021000
42122001103320203200
510202143311333441
6203550153232000
714643140523333
oct2320123704340
9523774276230
10165378230496
1164155777356
1228074a02600
131279758712b
14800bd1061a
15447dc072b6
hex26814f88e0

165378230496 has 96 divisors (see below), whose sum is σ = 483875592480. Its totient is φ = 54952086528.

The previous prime is 165378230477. The next prime is 165378230497. The reversal of 165378230496 is 694032873561.

165378230496 is a `hidden beast` number, since 1 + 6 + 53 + 78 + 2 + 30 + 496 = 666.

165378230496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 (165378230497) 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, 28021 + ... + 575796.

It is an arithmetic number, because the mean of its divisors is an integer number (5040370755).

It is a 1-persistent number, because it is pandigital, but 2⋅165378230496 = 330756460992 is not.

Almost surely, 2165378230496 is an apocalyptic number.

165378230496 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 165378230496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241937796240).

165378230496 is an abundant number, since it is smaller than the sum of its proper divisors (318497361984).

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

165378230496 is a wasteful number, since it uses less digits than its factorization.

165378230496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604153 (or 604139 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 165378230496 in words is "one hundred sixty-five billion, three hundred seventy-eight million, two hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 317 432 634 864 951 1268 1902 2536 2853 3804 5072 5706 7608 8559 10144 11412 15216 17118 22824 30432 34236 45648 68472 91296 136944 273888 603817 1207634 1811451 2415268 3622902 4830536 5434353 7245804 9661072 10868706 14491608 16303059 19322144 21737412 28983216 32606118 43474824 57966432 65212236 86949648 130424472 173899296 191409989 260848944 382819978 521697888 574229967 765639956 1148459934 1531279912 1722689901 2296919868 3062559824 3445379802 4593839736 5168069703 6125119648 6890759604 9187679472 10336139406 13781519208 18375358944 20672278812 27563038416 41344557624 55126076832 82689115248 165378230496