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42816338754 = 23717167419857
BaseRepresentation
bin100111111000000011…
…010111101101000010
311002111221111100222020
4213320003113231002
51200141440320004
631400342422310
73044012605650
oct477003275502
9132457440866
1042816338754
1117181786032
12836b131996
1340646b05b7
142102645dd0
1511a8d9c8d9
hex9f80d7b42

42816338754 has 128 divisors (see below), whose sum is σ = 104613949440. Its totient is φ = 11404056576.

The previous prime is 42816338743. The next prime is 42816338759. The reversal of 42816338754 is 45783361824.

It is a happy number.

42816338754 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 42816338697 and 42816338706.

It is not an unprimeable number, because it can be changed into a prime (42816338759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49960294 + ... + 49961150.

It is an arithmetic number, because the mean of its divisors is an integer number (817296480).

Almost surely, 242816338754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42816338754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52306974720).

42816338754 is an abundant number, since it is smaller than the sum of its proper divisors (61797610686).

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

42816338754 is a wasteful number, since it uses less digits than its factorization.

42816338754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472.

The product of its digits is 3870720, while the sum is 51.

The spelling of 42816338754 in words is "forty-two billion, eight hundred sixteen million, three hundred thirty-eight thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 167 238 334 357 419 501 714 838 857 1002 1169 1257 1714 2338 2514 2571 2839 2933 3507 5142 5678 5866 5999 7014 7123 8517 8799 11998 14246 14569 17034 17598 17997 19873 21369 29138 35994 39746 42738 43707 49861 59619 69973 87414 99722 101983 119238 139946 143119 149583 203966 209919 286238 299166 305949 359083 419838 429357 489811 611898 718166 858714 979622 1001833 1077249 1189541 1469433 2003666 2154498 2379082 2433023 2513581 2938866 3005499 3568623 4866046 5027162 6010998 6104411 7137246 7299069 7540743 8326787 12208822 14598138 15081486 16653574 17031161 18313233 24980361 34062322 36626466 42730877 49960722 51093483 59966861 85461754 102186966 119933722 128192631 179900583 256385262 359801166 419768027 839536054 1019436637 1259304081 2038873274 2518608162 3058309911 6116619822 7136056459 14272112918 21408169377 42816338754