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93150149120 = 295731732297
BaseRepresentation
bin101011011000000101…
…1100111101000000000
322220102210102212022222
41112300023213220000
53011232414232440
6110443110550212
76505230126530
oct1266013475000
9286383385288
1093150149120
1136560915816
1216077968368
138a26658542
14471942b4c0
152652bce2b5
hex15b02e7a00

93150149120 has 320 divisors, whose sum is σ = 267207469056. Its totient is φ = 30470307840.

The previous prime is 93150149117. The next prime is 93150149153. The reversal of 93150149120 is 2194105139.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40551812 + ... + 40554108.

Almost surely, 293150149120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93150149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133603734528).

93150149120 is an abundant number, since it is smaller than the sum of its proper divisors (174057319936).

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

93150149120 is a wasteful number, since it uses less digits than its factorization.

93150149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 93150149120 in words is "ninety-three billion, one hundred fifty million, one hundred forty-nine thousand, one hundred twenty".