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150215430673152 = 283413246392581
BaseRepresentation
bin100010001001111011000001…
…011000101001001100000000
3201200212110021122021220010000
4202021323001120221030000
5124142112200223020102
61251252003255040000
743432464256232565
oct4211730130511400
9650773248256100
10150215430673152
11439550085635a9
1214a2090b970000
1365a833c9c4c00
1429146739cc86c
1512576ac3da01c
hex889ec1629300

150215430673152 has 540 divisors, whose sum is σ = 486073449057504. Its totient is φ = 46119806853120.

The previous prime is 150215430673003. The next prime is 150215430673157. The reversal of 150215430673152 is 251376034512051.

150215430673152 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 1 + 5 + 430 + 67 + 3 + 152 = 666.

It is a super-2 number, since 2×1502154306731522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150215430673098 and 150215430673107.

It is not an unprimeable number, because it can be changed into a prime (150215430673157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1622483502 + ... + 1622576082.

Almost surely, 2150215430673152 is an apocalyptic number.

150215430673152 is a gapful number since it is divisible by the number (12) 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 150215430673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243036724528752).

150215430673152 is an abundant number, since it is smaller than the sum of its proper divisors (335858018384352).

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

150215430673152 is an equidigital number, since it uses as much as digits as its factorization.

150215430673152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93098 (or 93062 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 150215430673152 in words is "one hundred fifty trillion, two hundred fifteen billion, four hundred thirty million, six hundred seventy-three thousand, one hundred fifty-two".