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1376522021952 = 2632711315971239
BaseRepresentation
bin10100000001111111000…
…110110010110001000000
311212121001012000221021100
4110001333012302301000
5140023104114200302
62532210540054400
7201310333063320
oct24017706626100
94777035027240
101376522021952
11490863882950
121a2942534400
139ca6180347c
144a8a4459280
1525c16dd6d1c
hex1407f1b2c40

1376522021952 has 1344 divisors, whose sum is σ = 5258516889600. Its totient is φ = 333946368000.

The previous prime is 1376522021929. The next prime is 1376522021981. The reversal of 1376522021952 is 2591202256731.

1376522021952 is a `hidden beast` number, since 1 + 3 + 76 + 522 + 0 + 2 + 1 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 1376522021898 and 1376522021907.

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 191 ways as a sum of consecutive naturals, for example, 5759506249 + ... + 5759506487.

Almost surely, 21376522021952 is an apocalyptic number.

1376522021952 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 1376522021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629258444800).

1376522021952 is an abundant number, since it is smaller than the sum of its proper divisors (3881994867648).

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

1376522021952 is a wasteful number, since it uses less digits than its factorization.

1376522021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1376522021952 in words is "one trillion, three hundred seventy-six billion, five hundred twenty-two million, twenty-one thousand, nine hundred fifty-two".