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42166532220 = 22354771210601
BaseRepresentation
bin100111010001010100…
…100011100001111100
311000211122202202222120
4213101110203201330
51142324113012340
631212051042540
73021632416161
oct472124434174
9130748682876
1042166532220
11169789a983a
1282095a0450
133c8cb966a7
142080216068
15116bce24d0
hex9d152387c

42166532220 has 96 divisors (see below), whose sum is σ = 122277206016. Its totient is φ = 10850112000.

The previous prime is 42166532207. The next prime is 42166532251. The reversal of 42166532220 is 2223566124.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 94920 + ... + 305520.

It is an arithmetic number, because the mean of its divisors is an integer number (1273720896).

Almost surely, 242166532220 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 42166532220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61138603008).

42166532220 is an abundant number, since it is smaller than the sum of its proper divisors (80110673796).

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

42166532220 is a wasteful number, since it uses less digits than its factorization.

42166532220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210731 (or 210729 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 42166532220 in words is "forty-two billion, one hundred sixty-six million, five hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 71 94 141 142 188 213 235 282 284 355 426 470 564 705 710 852 940 1065 1410 1420 2130 2820 3337 4260 6674 10011 13348 16685 20022 33370 40044 50055 66740 100110 200220 210601 421202 631803 842404 1053005 1263606 2106010 2527212 3159015 4212020 6318030 9898247 12636060 14952671 19796494 29694741 29905342 39592988 44858013 49491235 59389482 59810684 74763355 89716026 98982470 118778964 148473705 149526710 179432052 197964940 224290065 296947410 299053420 448580130 593894820 702775537 897160260 1405551074 2108326611 2811102148 3513877685 4216653222 7027755370 8433306444 10541633055 14055510740 21083266110 42166532220