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453252465041232 = 243377117920081023
BaseRepresentation
bin110011100001110110001000…
…0001011000001111101010000
32012102211111211121012120201110
41213003230100023001331100
5433402042022022304412
64243553150301533320
7164320260421145463
oct14703542013017520
92172744747176643
10453252465041232
1112146932228066a
1242a03445574240
13165ba6a746bb8c
147dcd771aab2da
15376020b91dd3c
hex19c3b102c1f50

453252465041232 has 160 divisors (see below), whose sum is σ = 1226298334740480. Its totient is φ = 144120691653120.

The previous prime is 453252465041231. The next prime is 453252465041239. The reversal of 453252465041232 is 232140564252354.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453252465041231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12530673 + ... + 32611695.

It is an arithmetic number, because the mean of its divisors is an integer number (7664364592128).

Almost surely, 2453252465041232 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 453252465041232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613149167370240).

453252465041232 is an abundant number, since it is smaller than the sum of its proper divisors (773045869699248).

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

453252465041232 is a wasteful number, since it uses less digits than its factorization.

453252465041232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20081321 (or 20081315 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 48.

The spelling of 453252465041232 in words is "four hundred fifty-three trillion, two hundred fifty-two billion, four hundred sixty-five million, forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 71 74 111 142 148 179 213 222 284 296 358 426 444 537 568 592 716 852 888 1074 1136 1432 1704 1776 2148 2627 2864 3408 4296 5254 6623 7881 8592 10508 12709 13246 15762 19869 21016 25418 26492 31524 38127 39738 42032 50836 52984 63048 76254 79476 101672 105968 126096 152508 158952 203344 305016 317904 470233 610032 940466 1410699 1880932 2821398 3761864 5642796 7523728 11285592 20081023 22571184 40162046 60243069 80324092 120486138 160648184 240972276 321296368 481944552 742997851 963889104 1425752633 1485995702 2228993553 2851505266 2971991404 3594503117 4277257899 4457987106 5703010532 5943982808 7189006234 8554515798 8915974212 10783509351 11406021064 11887965616 14378012468 17109031596 17831948424 21567018702 22812042128 28756024936 34218063192 35663896848 43134037404 52752847421 57512049872 68436126384 86268074808 105505694842 132996615329 158258542263 172536149616 211011389684 255209721307 265993230658 316517084526 398989845987 422022779368 510419442614 531986461316 633034169052 765629163921 797979691974 844045558736 1020838885228 1063972922632 1266068338104 1531258327842 1595959383948 2041677770456 2127945845264 2532136676208 3062516655684 3191918767896 4083355540912 6125033311368 6383837535792 9442759688359 12250066622736 18885519376718 28328279065077 37771038753436 56656558130154 75542077506872 113313116260308 151084155013744 226626232520616 453252465041232