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152063134080 = 273511131732579
BaseRepresentation
bin1000110110011110101…
…0110100100110000000
3112112111112121120202220
42031213222310212000
54442411130242310
6153505024411040
713662160212264
oct2154752644600
9475445546686
10152063134080
1159542747340
1225579776a80
1311454b30160
1475077a20a4
153e4ecb3670
hex2367ab4980

152063134080 has 512 divisors, whose sum is σ = 602954150400. Its totient is φ = 32025477120.

The previous prime is 152063134049. The next prime is 152063134081. The reversal of 152063134080 is 80431360251.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152063134081) 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 63 ways as a sum of consecutive naturals, for example, 4651231 + ... + 4683809.

It is an arithmetic number, because the mean of its divisors is an integer number (1177644825).

Almost surely, 2152063134080 is an apocalyptic number.

152063134080 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 152063134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301477075200).

152063134080 is an abundant number, since it is smaller than the sum of its proper divisors (450891016320).

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

152063134080 is a wasteful number, since it uses less digits than its factorization.

152063134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32642 (or 32630 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 152063134080 in words is "one hundred fifty-two billion, sixty-three million, one hundred thirty-four thousand, eighty".