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10952391690240 = 21135721113174173
BaseRepresentation
bin1001111101100000110101…
…1010101000100000000000
31102210001001000012221220120
42133120031122220200000
52413420444233041430
635143243112140240
72210166322214400
oct237301532504000
942701030187816
1010952391690240
113542979643170
12128a791997680
13615a63020870
1429c154740800
1513ed6bc98610
hex9f60d6a8800

10952391690240 has 4608 divisors, whose sum is σ = 52650536440320. Its totient is φ = 1902536294400.

The previous prime is 10952391690151. The next prime is 10952391690259. The reversal of 10952391690240 is 4209619325901.

It is a super-2 number, since 2×109523916902402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 383 ways as a sum of consecutive naturals, for example, 150032762844 + ... + 150032762916.

It is an arithmetic number, because the mean of its divisors is an integer number (11425897665).

Almost surely, 210952391690240 is an apocalyptic number.

10952391690240 is a gapful number since it is divisible by the number (10) 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 10952391690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26325268220160).

10952391690240 is an abundant number, since it is smaller than the sum of its proper divisors (41698144750080).

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

10952391690240 is a wasteful number, since it uses less digits than its factorization.

10952391690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 10952391690240 in words is "ten trillion, nine hundred fifty-two billion, three hundred ninety-one million, six hundred ninety thousand, two hundred forty".