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45226123124 = 22713237972663
BaseRepresentation
bin101010000111101011…
…111101111101110100
311022201212221002200012
4222013223331331310
51220110341414444
632435424435352
73160513463240
oct520753757564
9138655832605
1045226123124
11181a8a70766
128922178b58
134359a13900
1422906d1420
15129a707b9e
hexa87afdf74

45226123124 has 144 divisors (see below), whose sum is σ = 101667702528. Its totient is φ = 17222160384.

The previous prime is 45226123091. The next prime is 45226123139. The reversal of 45226123124 is 42132162254.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16981817 + ... + 16984479.

It is an arithmetic number, because the mean of its divisors is an integer number (706025712).

Almost surely, 245226123124 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 45226123124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50833851264).

45226123124 is an abundant number, since it is smaller than the sum of its proper divisors (56441579404).

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

45226123124 is a wasteful number, since it uses less digits than its factorization.

45226123124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2819 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

Adding to 45226123124 its reverse (42132162254), we get a palindrome (87358285378).

The spelling of 45226123124 in words is "forty-five billion, two hundred twenty-six million, one hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 97 148 169 182 194 259 338 364 388 481 518 676 679 962 1036 1183 1261 1358 1924 2366 2522 2663 2716 3367 3589 4732 5044 5326 6253 6734 7178 8827 10652 12506 13468 14356 16393 17654 18641 25012 25123 32786 34619 35308 37282 43771 46657 50246 65572 69238 74564 87542 93314 98531 100492 114751 138476 175084 186628 197062 229502 242333 258311 326599 394124 450047 459004 484666 516622 606541 653198 689717 900094 969332 1033244 1213082 1280903 1306396 1379434 1800188 1808177 2426164 2561806 2758868 3150329 3358043 3616354 4245787 5123612 6300658 6716086 7232708 8491574 8966321 9557507 12601316 13432172 16651739 16983148 17932642 19115014 23506301 33303478 35865284 38230028 43654559 47012602 66606956 66902549 87309118 94025204 116562173 124247591 133805098 174618236 233124346 248495182 267610196 305581913 466248692 496990364 611163826 869733137 1222327652 1615218683 1739466274 3230437366 3478932548 6460874732 11306530781 22613061562 45226123124