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45200440488 = 23371941345379
BaseRepresentation
bin101010000110001001…
…111111110010101000
311022200002121021201110
4222012021333302220
51220032303043423
632433110150320
73160052255610
oct520611776250
9138602537643
1045200440488
1118195519a45
1289156523a0
1343545c0a98
14228b127a40
151298333193
hexa8627fca8

45200440488 has 128 divisors (see below), whose sum is σ = 139257216000. Its totient is φ = 11936263680.

The previous prime is 45200440409. The next prime is 45200440501. The reversal of 45200440488 is 88404400254.

45200440488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 41818 + ... + 303561.

It is an arithmetic number, because the mean of its divisors is an integer number (1087947000).

Almost surely, 245200440488 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 45200440488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69628608000).

45200440488 is an abundant number, since it is smaller than the sum of its proper divisors (94056775512).

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

45200440488 is a wasteful number, since it uses less digits than its factorization.

45200440488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345455 (or 345451 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 39.

The spelling of 45200440488 in words is "forty-five billion, two hundred million, four hundred forty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 41 42 56 57 76 82 84 114 123 133 152 164 168 228 246 266 287 328 399 456 492 532 574 779 798 861 984 1064 1148 1558 1596 1722 2296 2337 3116 3192 3444 4674 5453 6232 6888 9348 10906 16359 18696 21812 32718 43624 65436 130872 345379 690758 1036137 1381516 2072274 2417653 2763032 4144548 4835306 6562201 7252959 8289096 9670612 13124402 14160539 14505918 19341224 19686603 26248804 28321078 29011836 39373206 42481617 45935407 52497608 56642156 58023672 78746412 84963234 91870814 99123773 113284312 137806221 157492824 169926468 183741628 198247546 269050241 275612442 297371319 339852936 367483256 396495092 538100482 551224884 594742638 792990184 807150723 1076200964 1102449768 1189485276 1614301446 1883351687 2152401928 2378970552 3228602892 3766703374 5650055061 6457205784 7533406748 11300110122 15066813496 22600220244 45200440488