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189415780103040 = 2735271573363269
BaseRepresentation
bin101011000100010111001100…
…010010011011001110000000
3220211122222020101121001010120
4223010113030102123032000
5144311342004201244130
61510504224052300240
754616560415515411
oct5304271422331600
9824588211531116
10189415780103040
1155398865899807
12192b2069611680
13818caa682984a
1434abab6301808
1516d7214839910
hexac45cc49b380

189415780103040 has 128 divisors (see below), whose sum is σ = 603766684317600. Its totient is φ = 50510549655552.

The previous prime is 189415780102999. The next prime is 189415780103057. The reversal of 189415780103040 is 40301087514981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521238526 + ... + 521601794.

Almost surely, 2189415780103040 is an apocalyptic number.

189415780103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189415780103040 is an abundant number, since it is smaller than the sum of its proper divisors (414350904214560).

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

189415780103040 is a wasteful number, since it uses less digits than its factorization.

189415780103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634864 (or 634852 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 189415780103040 in words is "one hundred eighty-nine trillion, four hundred fifteen billion, seven hundred eighty million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 271573 363269 543146 726538 814719 1086292 1089807 1357865 1453076 1629438 1816345 2172584 2179614 2715730 2906152 3258876 3632690 4073595 4345168 4359228 5431460 5449035 5812304 6517752 7265380 8147190 8690336 8718456 10862920 10898070 11624608 13035504 14530760 16294380 17380672 17436912 21725840 21796140 23249216 26071008 29061520 32588760 34761344 34873824 43451680 43592280 46498432 52142016 58123040 65177520 69747648 86903360 87184560 104284032 116246080 130355040 139495296 173806720 174369120 232492160 260710080 348738240 521420160 697476480 98654052137 197308104274 295962156411 394616208548 493270260685 591924312822 789232417096 986540521370 1183848625644 1479810782055 1578464834192 1973081042740 2367697251288 2959621564110 3156929668384 3946162085480 4735394502576 5919243128220 6313859336768 7892324170960 9470789005152 11838486256440 12627718673536 15784648341920 18941578010304 23676972512880 31569296683840 37883156020608 47353945025760 63138593367680 94707890051520 189415780103040