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1900539286272 = 28331119312372
BaseRepresentation
bin11011101010000000111…
…110000001001100000000
320201200121211222002102000
4123222000332001030000
5222114301024130042
64013032400424000
7254211064246524
oct33520076011400
96650554862360
101900539286272
11673017975520
12268406918000
1310a2b26b3743
1467db52cdd84
15346862bb74c
hex1ba80f81300

1900539286272 has 1296 divisors, whose sum is σ = 6853863945600. Its totient is φ = 513738547200.

The previous prime is 1900539286229. The next prime is 1900539286313. The reversal of 1900539286272 is 2726829350091.

1900539286272 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 5 + 3 + 9 + 2 + 8 + 627 + 2 = 666.

It is a super-2 number, since 2×19005392862722 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51365926638 + ... + 51365926674.

Almost surely, 21900539286272 is an apocalyptic number.

1900539286272 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 1900539286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426931972800).

1900539286272 is an abundant number, since it is smaller than the sum of its proper divisors (4953324659328).

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

1900539286272 is a wasteful number, since it uses less digits than its factorization.

1900539286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1900539286272 in words is "one trillion, nine hundred billion, five hundred thirty-nine million, two hundred eighty-six thousand, two hundred seventy-two".