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2998437255700 = 2252173836616967
BaseRepresentation
bin101011101000100000110…
…010011001101000010100
3101121122111020200122021121
4223220200302121220110
5343111244414140300
610213244004253324
7426426033102205
oct53504062315024
911548436618247
102998437255700
11a566a2730867
1240514a6a1244
1318999cb3c833
14a51a753d5ac
1552ee245381a
hex2ba20c99a14

2998437255700 has 144 divisors (see below), whose sum is σ = 6918781169664. Its totient is φ = 1124011468800.

The previous prime is 2998437255689. The next prime is 2998437255721. The reversal of 2998437255700 is 75527348992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430373617 + ... + 430380583.

It is an arithmetic number, because the mean of its divisors is an integer number (48047091456).

Almost surely, 22998437255700 is an apocalyptic number.

2998437255700 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 2998437255700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459390584832).

2998437255700 is an abundant number, since it is smaller than the sum of its proper divisors (3920343913964).

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

2998437255700 is a wasteful number, since it uses less digits than its factorization.

2998437255700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 2998437255700 in words is "two trillion, nine hundred ninety-eight billion, four hundred thirty-seven million, two hundred fifty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 383 425 661 766 850 1322 1532 1700 1915 2644 3305 3830 6511 6610 6967 7660 9575 11237 13022 13220 13934 16525 19150 22474 26044 27868 32555 33050 34835 38300 44948 56185 65110 66100 69670 112370 118439 130220 139340 162775 174175 224740 236878 253163 280925 325550 348350 473756 506326 561850 592195 651100 696700 1012652 1123700 1184390 1265815 2368780 2531630 2668361 2960975 4303771 4605187 5063260 5336722 5921950 6329075 8607542 9210374 10673444 11843900 12658150 13341805 17215084 18420748 21518855 23025935 25316300 26683610 43037710 45362137 46051870 53367220 66709025 78288179 86075420 90724274 92103740 107594275 115129675 133418050 156576358 181448548 215188550 226810685 230259350 266836100 313152716 391440895 430377100 453621370 460518700 782881790 907242740 1134053425 1565763580 1763786621 1957204475 2268106850 3527573242 3914408950 4536213700 7055146484 7828817900 8818933105 17637866210 29984372557 35275732420 44094665525 59968745114 88189331050 119937490228 149921862785 176378662100 299843725570 599687451140 749609313925 1499218627850 2998437255700