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2670918432 = 253713417457
BaseRepresentation
bin1001111100110010…
…1111101100100000
320220010210201021220
42133030233230200
520432223342212
61121011015040
7123121301130
oct23714575440
96803721256
102670918432
111150733606
1262659a480
13337473810
141b4a22ac0
1510973d38c
hex9f32fb20

2670918432 has 192 divisors, whose sum is σ = 8840772864. Its totient is φ = 687144960.

The previous prime is 2670918421. The next prime is 2670918443. The reversal of 2670918432 is 2348190762.

It is an interprime number because it is at equal distance from previous prime (2670918421) and next prime (2670918443).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 354448 + ... + 361904.

It is an arithmetic number, because the mean of its divisors is an integer number (46045692).

Almost surely, 22670918432 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 2670918432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420386432).

2670918432 is an abundant number, since it is smaller than the sum of its proper divisors (6169854432).

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

2670918432 is a wasteful number, since it uses less digits than its factorization.

2670918432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7531 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2670918432 is about 51680.9290938156. The cubic root of 2670918432 is about 1387.4591597102.

The spelling of 2670918432 in words is "two billion, six hundred seventy million, nine hundred eighteen thousand, four hundred thirty-two".