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11425991499936 = 253513831361809
BaseRepresentation
bin1010011001000101001000…
…1010100010000010100000
31111110022110222211001100000
42212101102022202002200
52444200412310444221
640145010015500000
72256333502165146
oct246212212420240
944408428731300
1011425991499936
113705810365972
121346525527600
1364b60a81ab50
142b7041659596
1514c339d27e26
hexa64522a20a0

11425991499936 has 288 divisors, whose sum is σ = 36725335657920. Its totient is φ = 3473329434624.

The previous prime is 11425991499899. The next prime is 11425991499973. The reversal of 11425991499936 is 63999419952411.

11425991499936 is a `hidden beast` number, since 1 + 1 + 42 + 5 + 9 + 9 + 1 + 499 + 93 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11425991499899) and next prime (11425991499973).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7709400 + ... + 9071208.

It is an arithmetic number, because the mean of its divisors is an integer number (127518526590).

Almost surely, 211425991499936 is an apocalyptic number.

11425991499936 is a gapful number since it is divisible by the number (16) 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 11425991499936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18362667828960).

11425991499936 is an abundant number, since it is smaller than the sum of its proper divisors (25299344157984).

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

11425991499936 is a wasteful number, since it uses less digits than its factorization.

11425991499936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361930 (or 1361910 counting only the distinct ones).

The product of its digits is 170061120, while the sum is 72.

The spelling of 11425991499936 in words is "eleven trillion, four hundred twenty-five billion, nine hundred ninety-one million, four hundred ninety-nine thousand, nine hundred thirty-six".