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189670562134400 = 2752471261107461
BaseRepresentation
bin101011001000000100011110…
…011110101111100110000000
3220212120022212120221021001102
4223020010132132233212000
5144330030302401300100
61511221241531353532
754644150226166514
oct5310043636574600
9825508776837042
10189670562134400
1155486919694996
12193335135b28a8
1381aab1b53b399
1434ba165c76144
1516ddb773a1cd5
hexac811e7af980

189670562134400 has 96 divisors (see below), whose sum is σ = 478514615381280. Its totient is φ = 74254007244800.

The previous prime is 189670562134357. The next prime is 189670562134423. The reversal of 189670562134400 is 4431265076981.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630403331 + ... + 630704130.

It is an arithmetic number, because the mean of its divisors is an integer number (4984527243555).

It is a 1-persistent number, because it is pandigital, but 2⋅189670562134400 = 379341124268800 is not.

Almost surely, 2189670562134400 is an apocalyptic number.

189670562134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189670562134400 is an abundant number, since it is smaller than the sum of its proper divisors (288844053246880).

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

189670562134400 is a wasteful number, since it uses less digits than its factorization.

189670562134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261107532 (or 1261107515 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 189670562134400 in words is "one hundred eighty-nine trillion, six hundred seventy billion, five hundred sixty-two million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 128 160 188 200 235 320 376 400 470 640 752 800 940 1175 1504 1600 1880 2350 3008 3200 3760 4700 6016 7520 9400 15040 18800 30080 37600 75200 150400 1261107461 2522214922 5044429844 6305537305 10088859688 12611074610 20177719376 25222149220 31527686525 40355438752 50444298440 59272050667 63055373050 80710877504 100888596880 118544101334 126110746100 161421755008 201777193760 237088202668 252221492200 296360253335 403554387520 474176405336 504442984400 592720506670 807108775040 948352810672 1008885968800 1185441013340 1481801266675 1896705621344 2017771937600 2370882026680 2963602533350 3793411242688 4035543875200 4741764053360 5927205066700 7586822485376 9483528106720 11854410133400 18967056213440 23708820266800 37934112426880 47417640533600 94835281067200 189670562134400