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20875291358320 = 2457611095606453
BaseRepresentation
bin1001011111100011010000…
…10100110111010001110000
32201220122202221120112120001
410233301220110313101300
510214010044041431240
6112221550525355344
74253122115556130
oct457615024672160
981818687515501
1020875291358320
116719185832703
122411930a08b54
13b856ba9c9bb9
14522525c60ac0
1526303309389a
hex12fc68537470

20875291358320 has 160 divisors (see below), whose sum is σ = 56895192224640. Its totient is φ = 6975323320320.

The previous prime is 20875291358267. The next prime is 20875291358321. The reversal of 20875291358320 is 2385319257802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20875291358321) 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, 920214 + ... + 6526666.

It is an arithmetic number, because the mean of its divisors is an integer number (355594951404).

Almost surely, 220875291358320 is an apocalyptic number.

20875291358320 is a gapful number since it is divisible by the number (20) 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 20875291358320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28447596112320).

20875291358320 is an abundant number, since it is smaller than the sum of its proper divisors (36019900866320).

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

20875291358320 is a wasteful number, since it uses less digits than its factorization.

20875291358320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606643 (or 5606637 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 20875291358320 in words is "twenty trillion, eight hundred seventy-five billion, two hundred ninety-one million, three hundred fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 109 112 122 140 218 244 280 305 427 436 488 545 560 610 763 854 872 976 1090 1220 1526 1708 1744 2135 2180 2440 3052 3416 3815 4270 4360 4880 6104 6649 6832 7630 8540 8720 12208 13298 15260 17080 26596 30520 33245 34160 46543 53192 61040 66490 93086 106384 132980 186172 232715 265960 372344 465430 531920 744688 930860 1861720 3723440 5606453 11212906 22425812 28032265 39245171 44851624 56064530 78490342 89703248 112129060 156980684 196225855 224258120 313961368 341993633 392451710 448516240 611103377 627922736 683987266 784903420 1222206754 1367974532 1569806840 1709968165 2393955431 2444413508 2735949064 3055516885 3139613680 3419936330 4277723639 4787910862 4888827016 5471898128 6111033770 6839872660 8555447278 9575821724 9777654032 11969777155 12222067540 13679745320 17110894556 19151643448 21388618195 23939554310 24444135080 27359490640 34221789112 37277305997 38303286896 42777236390 47879108620 48888270160 68443578224 74554611994 85554472780 95758217240 149109223988 171108945560 186386529985 191516434480 260941141979 298218447976 342217891120 372773059970 521882283958 596436895952 745546119940 1043764567916 1304705709895 1491092239880 2087529135832 2609411419790 2982184479760 4175058271664 5218822839580 10437645679160 20875291358320