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1450914437952 = 26337923912983
BaseRepresentation
bin10101000111010001001…
…111010101101101000000
312010201001201111020011000
4111013101033111231000
5142232433044003302
63030312455452000
7206553004143450
oct25072117255500
95121051436130
101450914437952
1150a369414091
121b5244387000
13a6a88c56b35
1450320573d60
1527b1ce3431c
hex151d13d5b40

1450914437952 has 224 divisors, whose sum is σ = 4875668582400. Its totient is φ = 414470186496.

The previous prime is 1450914437941. The next prime is 1450914437971. The reversal of 1450914437952 is 2597344190541.

1450914437952 is a `hidden beast` number, since 1 + 4 + 509 + 1 + 4 + 43 + 7 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×14509144379523 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111748453 + ... + 111761435.

It is an arithmetic number, because the mean of its divisors is an integer number (21766377600).

Almost surely, 21450914437952 is an apocalyptic number.

1450914437952 is a gapful number since it is divisible by the number (12) 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 1450914437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437834291200).

1450914437952 is an abundant number, since it is smaller than the sum of its proper divisors (3424754144448).

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

1450914437952 is a wasteful number, since it uses less digits than its factorization.

1450914437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22250 (or 22234 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1450914437952 in words is "one trillion, four hundred fifty billion, nine hundred fourteen million, four hundred thirty-seven thousand, nine hundred fifty-two".