Search a number
-
+
2171323934052 = 22372131995992383
BaseRepresentation
bin11111100110001100111…
…111011110010101100100
321200120120022001110011220
4133212030333132111210
5241033332411342202
64341254211300340
7312605300626200
oct37461477362544
97616508043156
102171323934052
11767942833229
122b0997baa6b0
131299a7886390
14771422b7b00
153b733b94abc
hex1f98cfde564

2171323934052 has 288 divisors, whose sum is σ = 6392171520000. Its totient is φ = 568589269248.

The previous prime is 2171323934041. The next prime is 2171323934137. The reversal of 2171323934052 is 2504393231712.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2171323933995 and 2171323934013.

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, 911171253 + ... + 911173635.

It is an arithmetic number, because the mean of its divisors is an integer number (22195040000).

Almost surely, 22171323934052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2171323934052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196085760000).

2171323934052 is an abundant number, since it is smaller than the sum of its proper divisors (4220847585948).

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

2171323934052 is a wasteful number, since it uses less digits than its factorization.

2171323934052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 2171323934052 in words is "two trillion, one hundred seventy-one billion, three hundred twenty-three million, nine hundred thirty-four thousand, fifty-two".