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42934346532 = 2232711172989353
BaseRepresentation
bin100111111111000101…
…100010001100100100
311002211011112210012200
4213333011202030210
51200412143042112
631420200014500
73046644631650
oct477705421444
9132734483180
1042934346532
1117232357020
1283a2761430
134082c8a79c
1421141a3a60
1511b440ccdc
hex9ff162324

42934346532 has 576 divisors, whose sum is σ = 150297638400. Its totient is φ = 9991618560.

The previous prime is 42934346519. The next prime is 42934346563. The reversal of 42934346532 is 23564343924.

42934346532 is a `hidden beast` number, since 42 + 9 + 34 + 3 + 46 + 532 = 666.

42934346532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×429343465322 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121626868 + ... + 121627220.

It is an arithmetic number, because the mean of its divisors is an integer number (260933400).

Almost surely, 242934346532 is an apocalyptic number.

42934346532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42934346532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75148819200).

42934346532 is an abundant number, since it is smaller than the sum of its proper divisors (107363291868).

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

42934346532 is a wasteful number, since it uses less digits than its factorization.

42934346532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 511 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 42934346532 in words is "forty-two billion, nine hundred thirty-four million, three hundred forty-six thousand, five hundred thirty-two".