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149786917681440 = 253513313727207763
BaseRepresentation
bin100010000011101011111100…
…000001010011100100100000
3201122100111012211111110122010
4202003223330001103210200
5124113102101411301230
61250323054322312520
743356514312011054
oct4203537401234440
9648314184443563
10149786917681440
11437aa303104546
121497185b7b8740
136576acc0b5550
1428dba22aa1c64
15124b47c6e79b0
hex883afc053920

149786917681440 has 384 divisors, whose sum is σ = 524657646600192. Its totient is φ = 35671505448960.

The previous prime is 149786917681439. The next prime is 149786917681441. The reversal of 149786917681440 is 44186719687941.

It is an interprime number because it is at equal distance from previous prime (149786917681439) and next prime (149786917681441).

It is a super-2 number, since 2×1497869176814402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149786917681441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720846999 + ... + 721054761.

It is an arithmetic number, because the mean of its divisors is an integer number (1366295954688).

Almost surely, 2149786917681440 is an apocalyptic number.

149786917681440 is a gapful number since it is divisible by the number (10) 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 149786917681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262328823300096).

149786917681440 is an abundant number, since it is smaller than the sum of its proper divisors (374870728918752).

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

149786917681440 is a wasteful number, since it uses less digits than its factorization.

149786917681440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211552 (or 211544 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 75.

The spelling of 149786917681440 in words is "one hundred forty-nine trillion, seven hundred eighty-six billion, nine hundred seventeen million, six hundred eighty-one thousand, four hundred forty".