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12435078730501 = 722152111792069
BaseRepresentation
bin1011010011110100010001…
…1100110101001100000101
31122000210010000110121200001
42310331010130311030011
53112214020123334001
642240332445121301
72422255562134600
oct264750434651405
948023100417601
1012435078730501
113a64761841669
12148a002859231
136c281365919b
1430dc0a903337
151686e924c001
hexb4f44735305

12435078730501 has 12 divisors (see below), whose sum is σ = 14465969040780. Its totient is φ = 10658142741120.

The previous prime is 12435078730489. The next prime is 12435078730507. The reversal of 12435078730501 is 10503787053421.

It can be written as a sum of positive squares in 2 ways, for example, as 7259931469476 + 5175147261025 = 2694426^2 + 2274895^2 .

It is not a de Polignac number, because 12435078730501 - 215 = 12435078697733 is a prime.

It is a super-2 number, since 2×124350787305012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12435078730507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4841506 + ... + 6950563.

It is an arithmetic number, because the mean of its divisors is an integer number (1205497420065).

Almost surely, 212435078730501 is an apocalyptic number.

It is an amenable number.

12435078730501 is a deficient number, since it is larger than the sum of its proper divisors (2030890310279).

12435078730501 is a wasteful number, since it uses less digits than its factorization.

12435078730501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11813604 (or 11813597 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 12435078730501 in words is "twelve trillion, four hundred thirty-five billion, seventy-eight million, seven hundred thirty thousand, five hundred one".

Divisors: 1 7 49 21521 150647 1054529 11792069 82544483 577811381 253777116949 1776439818643 12435078730501