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2378314329534 = 232111341195111551
BaseRepresentation
bin100010100110111110100…
…101001010110110111110
322102100211211000000112200
4202212332211022312332
5302431241432021114
65020325454012330
7333553563151023
oct42467645126676
98370754000480
102378314329534
11837701488a80
12324b247a70a6
131433741c7930
148317a93554a
1541ceab87409
hex229be94adbe

2378314329534 has 192 divisors, whose sum is σ = 6205262708736. Its totient is φ = 648648000000.

The previous prime is 2378314329509. The next prime is 2378314329539. The reversal of 2378314329534 is 4359234138732.

2378314329534 is a `hidden beast` number, since 2 + 3 + 7 + 8 + 314 + 3 + 295 + 34 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378314329539) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205891059 + ... + 205902609.

It is an arithmetic number, because the mean of its divisors is an integer number (32319076608).

Almost surely, 22378314329534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2378314329534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102631354368).

2378314329534 is an abundant number, since it is smaller than the sum of its proper divisors (3826948379202).

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

2378314329534 is a wasteful number, since it uses less digits than its factorization.

2378314329534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13575 (or 13572 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 2378314329534 in words is "two trillion, three hundred seventy-eight billion, three hundred fourteen million, three hundred twenty-nine thousand, five hundred thirty-four".