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11752071300000 = 2534551450873
BaseRepresentation
bin1010101100000011111000…
…0010010000001110100000
31112121111011001111012010000
42223000332002100032200
53020021220223100000
640554454345340000
72322026165564163
oct253007602201640
945544131435100
1011752071300000
113821030966a39
121399768a97600
136732a57b04c5
142c8b36305ada
15155a71da0000
hexab03e0903a0

11752071300000 has 360 divisors, whose sum is σ = 43200408832812. Its totient is φ = 3133883520000.

The previous prime is 11752071299953. The next prime is 11752071300029. The reversal of 11752071300000 is 317025711.

It is a happy number.

11752071300000 is a `hidden beast` number, since 1 + 1 + 7 + 520 + 7 + 130 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2157267687696 + 9594803612304 = 1468764^2 + 3097548^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×117520713000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7374564 + ... + 8825436.

Almost surely, 211752071300000 is an apocalyptic number.

11752071300000 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 11752071300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600204416406).

11752071300000 is an abundant number, since it is smaller than the sum of its proper divisors (31448337532812).

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

11752071300000 is an frugal number, since it uses more digits than its factorization.

11752071300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450920 (or 1450883 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

Adding to 11752071300000 its reverse (317025711), we get a palindrome (11752388325711).

The spelling of 11752071300000 in words is "eleven trillion, seven hundred fifty-two billion, seventy-one million, three hundred thousand".