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7135985484054 = 232737107131109201
BaseRepresentation
bin110011111010111100111…
…1000010100000100010110
3221021012020002122022112200
41213311321320110010112
51413403444240442204
623102120530225330
71334362241544330
oct147657170240426
927235202568480
107135985484054
112301399853209
12973003125246
133c9bc75859ab
141a9552612450
15c5953c7e539
hex67d79e14116

7135985484054 has 192 divisors, whose sum is σ = 18457227689472. Its totient is φ = 1950189696000.

The previous prime is 7135985483989. The next prime is 7135985484071. The reversal of 7135985484054 is 4504845895317.

It is a happy number.

7135985484054 is a `hidden beast` number, since 7 + 1 + 35 + 9 + 8 + 548 + 4 + 0 + 54 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7135985483982 and 7135985484000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65292654 + ... + 65401854.

It is an arithmetic number, because the mean of its divisors is an integer number (96131394216).

Almost surely, 27135985484054 is an apocalyptic number.

7135985484054 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7135985484054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9228613844736).

7135985484054 is an abundant number, since it is smaller than the sum of its proper divisors (11321242205418).

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

7135985484054 is a wasteful number, since it uses less digits than its factorization.

7135985484054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109491 (or 109488 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 7135985484054 in words is "seven trillion, one hundred thirty-five billion, nine hundred eighty-five million, four hundred eighty-four thousand, fifty-four".