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5042225524432 = 2431413077431087
BaseRepresentation
bin100100101011111110000…
…0011111010111011010000
3122212000212100220000111111
41021113330003322323100
51130102434213240212
614420211052023104
71030201022540305
oct111277403727320
918760770800444
105042225524432
111674439948a98
12695273161a94
132a7631243c95
1413608b7570ac
158b25e7b7ea7
hex495fc0faed0

5042225524432 has 160 divisors (see below), whose sum is σ = 10387559153664. Its totient is φ = 2367153331200.

The previous prime is 5042225524403. The next prime is 5042225524433. The reversal of 5042225524432 is 2344255222405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042225524433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4638661393 + ... + 4638662479.

Almost surely, 25042225524432 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 5042225524432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193779576832).

5042225524432 is an abundant number, since it is smaller than the sum of its proper divisors (5345333629232).

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

5042225524432 is a wasteful number, since it uses less digits than its factorization.

5042225524432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

The spelling of 5042225524432 in words is "five trillion, forty-two billion, two hundred twenty-five million, five hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 307 328 496 614 656 743 1087 1228 1271 1486 2174 2456 2542 2972 4348 4912 5084 5944 8696 9517 10168 11888 12587 17392 19034 20336 23033 25174 30463 33697 38068 44567 46066 50348 60926 67394 76136 89134 92132 100696 121852 134788 152272 178268 184264 201392 228101 243704 269576 333709 356536 368528 390197 456202 487408 539152 667418 713072 780394 807641 912404 944353 1334836 1381577 1560788 1615282 1824808 1888706 2669672 2763154 3121576 3230564 3649616 3777412 5339344 5526308 6243152 6461128 7071131 7554824 9352141 10344979 11052616 12922256 13682069 14142262 15109648 18704282 20689958 22105232 25036871 27364138 28284524 33113281 37408564 41379916 50073742 54728276 56569048 66226562 74817128 82759832 100147484 109456552 113138096 132453124 149634256 165519664 200294968 218913104 247945787 264906248 289916371 400589936 424144139 495891574 529812496 579832742 848288278 991783148 1026511711 1159665484 1696576556 1983566296 2053023422 2319330968 3393153112 3967132592 4106046844 4638661936 6786306224 7686319397 8212093688 10165777267 15372638794 16424187376 20331554534 30745277588 40663109068 61490555176 81326218136 122981110352 162652436272 315139095277 630278190554 1260556381108 2521112762216 5042225524432