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32545125374104 = 23723671014137189
BaseRepresentation
bin1110110011001100000001…
…01000110001100010011000
311021020021122202002211200201
413121212000220301202120
513231204404043432404
6153115005120511544
76566210355205240
oct731460050614230
9137207582084621
1032545125374104
11a408345907842
12379756877b5b4
131520cb89bb585
1480729a206b20
153b6890340ca4
hex1d9980a31898

32545125374104 has 128 divisors (see below), whose sum is σ = 73867123123200. Its totient is φ = 13140704079360.

The previous prime is 32545125374077. The next prime is 32545125374123. The reversal of 32545125374104 is 40147352154523.

It is a super-2 number, since 2×325451253741042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875109142 + ... + 875146330.

It is an arithmetic number, because the mean of its divisors is an integer number (577086899400).

Almost surely, 232545125374104 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 32545125374104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36933561561600).

32545125374104 is an abundant number, since it is smaller than the sum of its proper divisors (41321997749096).

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

32545125374104 is a wasteful number, since it uses less digits than its factorization.

32545125374104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47433 (or 47429 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 46.

The spelling of 32545125374104 in words is "thirty-two trillion, five hundred forty-five billion, one hundred twenty-five million, three hundred seventy-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 67 92 134 161 184 268 322 469 536 644 938 1288 1541 1876 3082 3752 6164 10141 10787 12328 20282 21574 37189 40564 43148 70987 74378 81128 86296 141974 148756 233243 260323 283948 297512 466486 520646 567896 679447 855347 932972 1041292 1358894 1632701 1710694 1865944 2082584 2491663 2717788 3265402 3421388 4756129 4983326 5435576 5987429 6530804 6842776 9512258 9966652 11974858 13061608 15627281 17441641 19024516 19933304 23949716 31254562 34883282 38049032 47899432 57308249 62509124 69766564 109390967 114616498 125018248 139533128 218781934 229232996 377133649 401157743 437563868 458465992 754267298 802315486 875127736 1508534596 1604630972 2639935543 3017069192 3209261944 5279871086 8674073927 10559742172 17348147854 21119484344 25267954483 34696295708 50535908966 60718517489 69392591416 101071817932 121437034978 176875681381 202143635864 242874069956 353751362762 485748139912 581162953109 707502725524 1162325906218 1415005451048 2324651812436 4068140671763 4649303624872 8136281343526 16272562687052 32545125374104