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1437950968974 = 232131937531311259
BaseRepresentation
bin10100111011001100100…
…011101000010010001110
312002110121021102202211100
4110323030203220102032
5142024410422001344
63020330251403530
7205613523365322
oct24731443502216
95073537382740
101437950968974
1150491691aa63
121b2826a535a6
13a57a1305a30
144d8509d7982
152760eceb569
hex14ecc8e848e

1437950968974 has 384 divisors, whose sum is σ = 3726871948800. Its totient is φ = 396766356480.

The previous prime is 1437950968969. The next prime is 1437950968991. The reversal of 1437950968974 is 4798690597341.

1437950968974 is a `hidden beast` number, since 1 + 4 + 37 + 9 + 509 + 6 + 89 + 7 + 4 = 666.

It is a super-2 number, since 2×14379509689742 (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1142136757 + ... + 1142138015.

It is an arithmetic number, because the mean of its divisors is an integer number (9705395700).

Almost surely, 21437950968974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1437950968974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863435974400).

1437950968974 is an abundant number, since it is smaller than the sum of its proper divisors (2288920979826).

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

1437950968974 is a wasteful number, since it uses less digits than its factorization.

1437950968974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 1437950968974 in words is "one trillion, four hundred thirty-seven billion, nine hundred fifty million, nine hundred sixty-eight thousand, nine hundred seventy-four".