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2542078833700 = 22527271124910729
BaseRepresentation
bin100100111111011111101…
…101001011010000100100
3100000000112211210210102211
4210333133231023100210
5313122134140134300
65223452003413204
7351442040365030
oct44773755132044
910000484723384
102542078833700
118a00a92588aa
12350809084204
131559423512c3
148b0743bb1c0
15461d2d7d4ba
hex24fdfb4b424

2542078833700 has 144 divisors (see below), whose sum is σ = 6333275200000. Its totient is φ = 867577651200.

The previous prime is 2542078833689. The next prime is 2542078833719. The reversal of 2542078833700 is 73388702452.

It is a happy 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, 236929936 + ... + 236940664.

Almost surely, 22542078833700 is an apocalyptic number.

2542078833700 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 2542078833700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166637600000).

2542078833700 is an abundant number, since it is smaller than the sum of its proper divisors (3791196366300).

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

2542078833700 is a wasteful number, since it uses less digits than its factorization.

2542078833700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 2542078833700 in words is "two trillion, five hundred forty-two billion, seventy-eight million, eight hundred thirty-three thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 271 350 542 700 1084 1249 1355 1897 2498 2710 3794 4996 5420 6245 6775 7588 8743 9485 10729 12490 13550 17486 18970 21458 24980 27100 31225 34972 37940 42916 43715 47425 53645 62450 75103 87430 94850 107290 124900 150206 174860 189700 214580 218575 268225 300412 338479 375515 437150 536450 676958 751030 874300 1072900 1353916 1502060 1692395 1877575 2369353 2907559 3384790 3755150 4738706 5815118 6769580 7510300 8461975 9477412 11630236 11846765 13400521 14537795 16923950 20352913 23693530 26801042 29075590 33847900 40705826 47387060 53602084 58151180 59233825 67002605 72688975 81411652 93803647 101764565 118467650 134005210 145377950 187607294 203529130 236935300 268010420 290755900 335013025 375214588 407058260 469018235 508822825 670026050 938036470 1017645650 1340052100 1876072940 2035291300 2345091175 3631541191 4690182350 7263082382 9380364700 14526164764 18157705955 25420788337 36315411910 50841576674 72630823820 90788529775 101683153348 127103941685 181577059550 254207883370 363154119100 508415766740 635519708425 1271039416850 2542078833700