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72206412935853 = 37231616724116087
BaseRepresentation
bin10000011010101111011101…
…100101111111001010101101
3100110122212101001211012102210
4100122233131211333022231
533431012213202421403
6413323100154041033
721131512140113100
oct2032573545771255
9313585331735383
1072206412935853
1121009627759799
128122105719179
13313a060076531
1413b8b47db6737
158533c3e4bb03
hex41abdd97f2ad

72206412935853 has 192 divisors, whose sum is σ = 119757535789056. Its totient is φ = 38526098688000.

The previous prime is 72206412935827. The next prime is 72206412935873. The reversal of 72206412935853 is 35853921460227.

It is not a de Polignac number, because 72206412935853 - 25 = 72206412935821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72206412935793 and 72206412935802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72206412935873) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4488486576 + ... + 4488502662.

It is an arithmetic number, because the mean of its divisors is an integer number (623737165568).

It is a 1-persistent number, because it is pandigital, but 2⋅72206412935853 = 144412825871706 is not.

Almost surely, 272206412935853 is an apocalyptic number.

It is an amenable number.

72206412935853 is a deficient number, since it is larger than the sum of its proper divisors (47551122853203).

72206412935853 is a wasteful number, since it uses less digits than its factorization.

72206412935853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16504 (or 16497 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 72206412935853 in words is "seventy-two trillion, two hundred six billion, four hundred twelve million, nine hundred thirty-five thousand, eight hundred fifty-three".