Search a number
-
+
76036115148 = 2237331247409
BaseRepresentation
bin100011011010000011…
…0110000101011001100
321021021002100212012220
41012310012300223030
52221210221141043
654532553455340
75331150213000
oct1066406605314
9237232325186
1076036115148
112a27944a794
12128a0411550
137229b49916
143974546700
151ea04ce483
hex11b41b0acc

76036115148 has 288 divisors, whose sum is σ = 218873088000. Its totient is φ = 20526186240.

The previous prime is 76036115137. The next prime is 76036115149. The reversal of 76036115148 is 84151163067.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (76036115149) 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, 185907168 + ... + 185907576.

It is an arithmetic number, because the mean of its divisors is an integer number (759976000).

Almost surely, 276036115148 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 76036115148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109436544000).

76036115148 is an abundant number, since it is smaller than the sum of its proper divisors (142836972852).

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

76036115148 is a wasteful number, since it uses less digits than its factorization.

76036115148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 76036115148 in words is "seventy-six billion, thirty-six million, one hundred fifteen thousand, one hundred forty-eight".