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72402020427 = 3117330054803
BaseRepresentation
bin100001101101101111…
…1110010100001001011
320220212211011201110010
41003123133302201023
52141234404123202
653132214323003
75142122006442
oct1033337624113
9226784151403
1072402020427
1128784064620
1212047359463
136a9ac8cb09
14370ba3dd59
151d3b43576c
hex10db7f284b

72402020427 has 16 divisors (see below), whose sum is σ = 106754663808. Its totient is φ = 43278914880.

The previous prime is 72402020399. The next prime is 72402020447.

72402020427 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72402020427 - 212 = 72402016331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72402020394 and 72402020403.

It is not an unprimeable number, because it can be changed into a prime (72402020447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15024993 + ... + 15029810.

It is an arithmetic number, because the mean of its divisors is an integer number (6672166488).

Almost surely, 272402020427 is an apocalyptic number.

72402020427 is a deficient number, since it is larger than the sum of its proper divisors (34352643381).

72402020427 is a wasteful number, since it uses less digits than its factorization.

72402020427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30054890.

The product of its (nonzero) digits is 12544, while the sum is 30.

It can be divided in two parts, 724020 and 20427, that added together give a palindrome (744447).

The spelling of 72402020427 in words is "seventy-two billion, four hundred two million, twenty thousand, four hundred twenty-seven".

Divisors: 1 3 11 33 73 219 803 2409 30054803 90164409 330602833 991808499 2194000619 6582001857 24134006809 72402020427