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18629205073724 = 22717232609652207
BaseRepresentation
bin1000011110001011100110…
…01001101001111100111100
32102221221020022222011201002
410033011303021221330330
54420210102444324344
6103342045541305432
73631626032265230
oct417056311517474
972857208864632
1018629205073724
115a32668668a13
12210a56b105278
13a5195a17759b
144859306925c0
152248c5b7b44e
hex10f173269f3c

18629205073724 has 96 divisors (see below), whose sum is σ = 41181143592960. Its totient is φ = 7184826519552.

The previous prime is 18629205073711. The next prime is 18629205073727. The reversal of 18629205073724 is 42737050292681.

It is a self number, because there is not a number n which added to its sum of digits gives 18629205073724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18629205073727) 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, 28237229 + ... + 28889435.

It is an arithmetic number, because the mean of its divisors is an integer number (428970245760).

It is a 1-persistent number, because it is pandigital, but 2⋅18629205073724 = 37258410147448 is not.

Almost surely, 218629205073724 is an apocalyptic number.

18629205073724 is a gapful number since it is divisible by the number (14) 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 18629205073724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20590571796480).

18629205073724 is an abundant number, since it is smaller than the sum of its proper divisors (22551938519236).

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

18629205073724 is a wasteful number, since it uses less digits than its factorization.

18629205073724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654867 (or 654865 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 18629205073724 in words is "eighteen trillion, six hundred twenty-nine billion, two hundred five million, seventy-three thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 2609 2737 5218 5474 10436 10948 18263 36526 44353 60007 73052 88706 120014 177412 240028 310471 420049 620942 652207 840098 1020119 1241884 1304414 1680196 2040238 2608828 4080476 4565449 7140833 9130898 11087519 14281666 15000761 18261796 22175038 28563332 30001522 44350076 60003044 77612633 105005327 155225266 210010654 255012937 310450532 420021308 510025874 1020051748 1701608063 1785090559 3403216126 3570181118 6806432252 7140362236 11911256441 23822512882 28927337071 39136985449 47645025764 57854674142 78273970898 115709348284 156547941796 202491359497 273958898143 404982718994 547917796286 665328752633 809965437988 1095835592572 1330657505266 2661315010532 4657301268431 9314602536862 18629205073724