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12970153350 = 23452711219199
BaseRepresentation
bin11000001010001010…
…01101010110000110
31020110220122001120000
430011011031112012
5203030324401400
65543003222130
7636261325110
oct140505152606
936426561500
1012970153350
11555634a200
12261b817946
1312b915176b
148b07da3b0
1550da08600
hex30514d586

12970153350 has 720 divisors, whose sum is σ = 47892768000. Its totient is φ = 2540419200.

The previous prime is 12970153319. The next prime is 12970153367. The reversal of 12970153350 is 5335107921.

12970153350 is a `hidden beast` number, since 1 + 2 + 9 + 70 + 1 + 533 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 65176551 + ... + 65176749.

Almost surely, 212970153350 is an apocalyptic number.

12970153350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12970153350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23946384000).

12970153350 is an abundant number, since it is smaller than the sum of its proper divisors (34922614650).

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

12970153350 is a wasteful number, since it uses less digits than its factorization.

12970153350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 12970153350 in words is "twelve billion, nine hundred seventy million, one hundred fifty-three thousand, three hundred fifty".