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1339674672000 = 27353731413137
BaseRepresentation
bin10011011111101010110…
…101010011101110000000
311202001221020020121121110
4103133222311103232000
5133422123204001000
62503234341323320
7165534246553140
oct23375265235600
94661836217543
101339674672000
11477175477515
1219777a406540
139943b951612
1448baa86c920
1524cac098850
hex137ead53b80

1339674672000 has 1024 divisors, whose sum is σ = 5368673157120. Its totient is φ = 289013760000.

The previous prime is 1339674671983. The next prime is 1339674672001. The reversal of 1339674672000 is 2764769331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339674672001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 427054432 + ... + 427057568.

It is an arithmetic number, because the mean of its divisors is an integer number (5242844880).

Almost surely, 21339674672000 is an apocalyptic number.

1339674672000 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 1339674672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684336578560).

1339674672000 is an abundant number, since it is smaller than the sum of its proper divisors (4028998485120).

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

1339674672000 is a wasteful number, since it uses less digits than its factorization.

1339674672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 1339674672000 in words is "one trillion, three hundred thirty-nine billion, six hundred seventy-four million, six hundred seventy-two thousand".