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466246220420 = 2251723324124421
BaseRepresentation
bin1101100100011100111…
…00001011101010000100
31122120110111112001100002
412302032130023222010
530114333013023140
6554105054340432
745454005324611
oct6621634135204
91576414461302
10466246220420
1116a8089222a2
1276440aba718
1334c75182536
14187d0439508
15c1dc6bd415
hex6c8e70ba84

466246220420 has 96 divisors (see below), whose sum is σ = 1045524576096. Its totient is φ = 174042316800.

The previous prime is 466246220359. The next prime is 466246220431. The reversal of 466246220420 is 24022642664.

It can be written as a sum of positive squares in 16 ways, for example, as 207791928964 + 258454291456 = 455842^2 + 508384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19079810 + ... + 19104230.

It is an arithmetic number, because the mean of its divisors is an integer number (10890881001).

Almost surely, 2466246220420 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 466246220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522762288048).

466246220420 is an abundant number, since it is smaller than the sum of its proper divisors (579278355676).

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

466246220420 is a wasteful number, since it uses less digits than its factorization.

466246220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24921 (or 24919 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 466246220420 in words is "four hundred sixty-six billion, two hundred forty-six million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 233 241 340 466 482 932 964 1165 1205 2330 2410 3961 4097 4660 4820 7922 8194 15844 16388 19805 20485 24421 39610 40970 48842 56153 79220 81940 97684 112306 122105 224612 244210 280765 415157 488420 561530 830314 954601 1123060 1660628 1909202 2075785 3818404 4151570 4773005 5690093 5885461 8303140 9546010 11380186 11770922 19092020 22760372 23541844 28450465 29427305 56900930 58854610 96731581 100052837 113801860 117709220 193463162 200105674 386926324 400211348 483657905 500264185 967315810 1000528370 1371312413 1934631620 2001056740 2742624826 5485249652 6856562065 13713124130 23312311021 27426248260 46624622042 93249244084 116561555105 233123110210 466246220420