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114374266552 = 237132431272213
BaseRepresentation
bin110101010000100111…
…1001100111010111000
3101221012221100202000101
41222201033030322320
53333214303012202
6124313125245144
711156205140110
oct1524117147270
9357187322011
10114374266552
1144562323337
121a1bb8637b4
13aa2981cc00
145770120040
152e9614b887
hex1aa13cceb8

114374266552 has 192 divisors, whose sum is σ = 273824686080. Its totient is φ = 43826904576.

The previous prime is 114374266547. The next prime is 114374266603. The reversal of 114374266552 is 255662473411.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51681798 + ... + 51684010.

It is an arithmetic number, because the mean of its divisors is an integer number (1426170240).

Almost surely, 2114374266552 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 114374266552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136912343040).

114374266552 is an abundant number, since it is smaller than the sum of its proper divisors (159450419528).

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

114374266552 is a wasteful number, since it uses less digits than its factorization.

114374266552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2405 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 46.

The spelling of 114374266552 in words is "one hundred fourteen billion, three hundred seventy-four million, two hundred sixty-six thousand, five hundred fifty-two".