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45233202520 = 23511227733739
BaseRepresentation
bin101010001000000110…
…111110010101011000
311022202101020202210001
4222020012332111120
51220114144440040
632440240302344
73160630610002
oct521006762530
9138671222701
1045233202520
1118201a66600
1289246119b4
13435b321cbc
142291615372
15129b15559a
hexa881be558

45233202520 has 96 divisors (see below), whose sum is σ = 112275248400. Its totient is φ = 16388570880.

The previous prime is 45233202493. The next prime is 45233202527. The reversal of 45233202520 is 2520233254.

It is a happy number.

It is a super-2 number, since 2×452332025202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45233202527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1323811 + ... + 1357549.

Almost surely, 245233202520 is an apocalyptic number.

45233202520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45233202520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137624200).

45233202520 is an abundant number, since it is smaller than the sum of its proper divisors (67042045880).

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

45233202520 is a wasteful number, since it uses less digits than its factorization.

45233202520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34049 (or 34034 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 45233202520 its reverse (2520233254), we get a palindrome (47753435774).

The spelling of 45233202520 in words is "forty-five billion, two hundred thirty-three million, two hundred two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 277 440 484 554 605 968 1108 1210 1385 2216 2420 2770 3047 4840 5540 6094 11080 12188 15235 24376 30470 33517 33739 60940 67034 67478 121880 134068 134956 167585 168695 268136 269912 335170 337390 371129 670340 674780 742258 1340680 1349560 1484516 1855645 2969032 3711290 4082419 7422580 8164838 9345703 14845160 16329676 18691406 20412095 32659352 37382812 40824190 46728515 74765624 81648380 93457030 102802733 163296760 186914060 205605466 373828120 411210932 514013665 822421864 1028027330 1130830063 2056054660 2261660126 4112109320 4523320252 5654150315 9046640504 11308300630 22616601260 45233202520