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42192629696 = 267354126597
BaseRepresentation
bin100111010010111000…
…000110111111000000
311000220110212122222202
4213102320012333000
51142402303122241
631214422252332
73022400302130
oct472270067700
9130813778882
1042192629696
11169917041a8
1282162870a8
133c95403299
14208388aac0
15116e249d9b
hex9d2e06fc0

42192629696 has 56 divisors (see below), whose sum is σ = 95717477856. Its totient is φ = 18076769280.

The previous prime is 42192629671. The next prime is 42192629711. The reversal of 42192629696 is 69692629124.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1573070 + ... + 1599666.

It is an arithmetic number, because the mean of its divisors is an integer number (1709240676).

Almost surely, 242192629696 is an apocalyptic number.

It is an amenable number.

42192629696 is an abundant number, since it is smaller than the sum of its proper divisors (53524848160).

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

42192629696 is a wasteful number, since it uses less digits than its factorization.

42192629696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30157 (or 30147 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 56.

The spelling of 42192629696 in words is "forty-two billion, one hundred ninety-two million, six hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 3541 7082 14164 24787 26597 28328 49574 53194 56656 99148 106388 113312 186179 198296 212776 226624 372358 396592 425552 744716 793184 851104 1489432 1586368 1702208 2978864 5957728 11915456 94179977 188359954 376719908 659259839 753439816 1318519678 1506879632 2637039356 3013759264 5274078712 6027518528 10548157424 21096314848 42192629696