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150092670013440 = 21235721179103557
BaseRepresentation
bin100010001000001000101100…
…010001111001000000000000
3201200102201102020110020102120
4202020020230101321000000
5124133104242010412230
61251115342024044240
743420560165651600
oct4210105421710000
9650381366406376
10150092670013440
1143907a42350a30
1214a00b6b603680
1365998a78a5aab
14290c749b82c00
1512543c4dbb310
hex88822c479000

150092670013440 has 2496 divisors, whose sum is σ = 624254662287360. Its totient is φ = 30439589806080.

The previous prime is 150092670013439. The next prime is 150092670013441. The reversal of 150092670013440 is 44310076290051.

It is an interprime number because it is at equal distance from previous prime (150092670013439) and next prime (150092670013441).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 150092670013392 and 150092670013401.

It is not an unprimeable number, because it can be changed into a prime (150092670013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 269466193642 + ... + 269466194198.

It is an arithmetic number, because the mean of its divisors is an integer number (250102028160).

Almost surely, 2150092670013440 is an apocalyptic number.

150092670013440 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 150092670013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312127331143680).

150092670013440 is an abundant number, since it is smaller than the sum of its proper divisors (474161992273920).

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

150092670013440 is a wasteful number, since it uses less digits than its factorization.

150092670013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 150092670013440 in words is "one hundred fifty trillion, ninety-two billion, six hundred seventy million, thirteen thousand, four hundred forty".