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1054386834501 = 3711213374153397
BaseRepresentation
bin11110101011111100101…
…10100100110001000101
310201210120000211212201210
433111332112210301011
5114233341012201001
62124213441042033
7136114455134520
oct17257626446105
93653500755653
101054386834501
11377187975700
12150420026319
1378574b3bc10
1439065625bb7
151c6612e3dd6
hexf57e5a4c45

1054386834501 has 384 divisors, whose sum is σ = 2043804607488. Its totient is φ = 469695283200.

The previous prime is 1054386834469. The next prime is 1054386834533.

1054386834501 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1054386834469) and next prime (1054386834533).

It is not a de Polignac number, because 1054386834501 - 25 = 1054386834469 is a prime.

It is a super-2 number, since 2×10543868345012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054386834101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2655886035 + ... + 2655886431.

It is an arithmetic number, because the mean of its divisors is an integer number (5322407832).

Almost surely, 21054386834501 is an apocalyptic number.

1054386834501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1054386834501 is a deficient number, since it is larger than the sum of its proper divisors (989417772987).

1054386834501 is a wasteful number, since it uses less digits than its factorization.

1054386834501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 1054386834501 in words is "one trillion, fifty-four billion, three hundred eighty-six million, eight hundred thirty-four thousand, five hundred one".