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8134876152 = 23321315157557
BaseRepresentation
bin1111001001110000…
…00101101111111000
3202222221012112012100
413210320011233320
5113130012014102
63423114343400
7405406210044
oct74470055770
922887175170
108134876152
1134a4a1a947
1216b042ab60
139c84781b0
14572577024
1532928da1c
hex1e4e05bf8

8134876152 has 96 divisors (see below), whose sum is σ = 23884267680. Its totient is φ = 2486419200.

The previous prime is 8134876073. The next prime is 8134876153. The reversal of 8134876152 is 2516784318.

8134876152 is a `hidden beast` number, since 8 + 13 + 487 + 6 + 152 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8134876098 and 8134876107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8134876153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112558 + ... + 170114.

It is an arithmetic number, because the mean of its divisors is an integer number (248794455).

Almost surely, 28134876152 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 8134876152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942133840).

8134876152 is an abundant number, since it is smaller than the sum of its proper divisors (15749391528).

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

8134876152 is a wasteful number, since it uses less digits than its factorization.

8134876152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57733 (or 57726 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 8134876152 is about 90193.5482836771. The cubic root of 8134876152 is about 2011.1770991994.

The spelling of 8134876152 in words is "eight billion, one hundred thirty-four million, eight hundred seventy-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 151 156 234 302 312 453 468 604 906 936 1208 1359 1812 1963 2718 3624 3926 5436 5889 7852 10872 11778 15704 17667 23556 35334 47112 57557 70668 115114 141336 172671 230228 345342 460456 518013 690684 748241 1036026 1381368 1496482 2072052 2244723 2992964 4144104 4489446 5985928 6734169 8691107 8978892 13468338 17382214 17957784 26073321 26936676 34764428 52146642 53873352 69528856 78219963 104293284 112984391 156439926 208586568 225968782 312879852 338953173 451937564 625759704 677906346 903875128 1016859519 1355812692 2033719038 2711625384 4067438076 8134876152