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36130069248 = 283721331923
BaseRepresentation
bin100001101001100001…
…010001101100000000
310110020222002200111220
4201221201101230000
51042443244203443
624333052435040
72416223343600
oct415141215400
9113228080456
1036130069248
1114360533869
127003a78a80
13353a3a2000
141a6a634c00
15e16da5a83
hex869851b00

36130069248 has 864 divisors, whose sum is σ = 133098739200. Its totient is φ = 8634802176.

The previous prime is 36130069231. The next prime is 36130069291. The reversal of 36130069248 is 84296003163.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1570872565 + ... + 1570872587.

Almost surely, 236130069248 is an apocalyptic number.

36130069248 is a gapful number since it is divisible by the number (38) 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 36130069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66549369600).

36130069248 is an abundant number, since it is smaller than the sum of its proper divisors (96968669952).

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

36130069248 is a wasteful number, since it uses less digits than its factorization.

36130069248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 36130069248 in words is "thirty-six billion, one hundred thirty million, sixty-nine thousand, two hundred forty-eight".