Search a number
-
+
462020126642040 = 233510487367137191
BaseRepresentation
bin110100100001101000111000…
…1100001110000111101111000
32020120212200201000022211112210
41221003101301201300331320
5441024214204410021130
64314345041022135120
7166213565305126611
oct15103216141607570
92216780630284483
10462020126642040
111242396a971664a
124399a7197214a0
1316aa5407349445
148213c71880c08
15386330cae35b0
hex1a43471870f78

462020126642040 has 64 divisors (see below), whose sum is σ = 1386192553090560. Its totient is φ = 123193618378880.

The previous prime is 462020126642017. The next prime is 462020126642051. The reversal of 462020126642040 is 40246621020264.

It is a self number, because there is not a number n which added to its sum of digits gives 462020126642040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182310156 + ... + 184827035.

It is an arithmetic number, because the mean of its divisors is an integer number (21659258642040).

Almost surely, 2462020126642040 is an apocalyptic number.

462020126642040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462020126642040 is an abundant number, since it is smaller than the sum of its proper divisors (924172426448520).

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

462020126642040 is a wasteful number, since it uses less digits than its factorization.

462020126642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367147692 (or 367147688 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 462020126642040 in words is "four hundred sixty-two trillion, twenty billion, one hundred twenty-six million, six hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 10487 20974 31461 41948 52435 62922 83896 104870 125844 157305 209740 251688 314610 419480 629220 1258440 367137191 734274382 1101411573 1468548764 1835685955 2202823146 2937097528 3671371910 4405646292 5507057865 7342743820 8811292584 11014115730 14685487640 22028231460 44056462920 3850167722017 7700335444034 11550503166051 15400670888068 19250838610085 23101006332102 30801341776136 38501677220170 46202012664204 57752515830255 77003354440340 92404025328408 115505031660510 154006708880680 231010063321020 462020126642040