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2045541190784 = 27713612878903
BaseRepresentation
bin11101110001000011110…
…000011000110010000000
321020112220021122001012212
4131301003300120302000
5232003232021101114
64203413022441252
7300533263145030
oct35610360306200
97215807561185
102045541190784
11719566747543
12290533733228
1311ab80620140
147100cd578c0
15383211bdb3e
hex1dc43c18c80

2045541190784 has 128 divisors (see below), whose sum is σ = 5097732890880. Its totient is φ = 795958824960.

The previous prime is 2045541190769. The next prime is 2045541190801. The reversal of 2045541190784 is 4870911455402.

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

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, 728924 + ... + 2149979.

It is an arithmetic number, because the mean of its divisors is an integer number (39826038210).

Almost surely, 22045541190784 is an apocalyptic number.

It is an amenable number.

2045541190784 is an abundant number, since it is smaller than the sum of its proper divisors (3052191700096).

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

2045541190784 is a wasteful number, since it uses less digits than its factorization.

2045541190784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878998 (or 2878986 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 2045541190784 in words is "two trillion, forty-five billion, five hundred forty-one million, one hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 61 64 91 104 112 122 128 182 208 224 244 364 416 427 448 488 728 793 832 854 896 976 1456 1586 1664 1708 1952 2912 3172 3416 3904 5551 5824 6344 6832 7808 11102 11648 12688 13664 22204 25376 27328 44408 50752 54656 88816 101504 177632 355264 710528 2878903 5757806 11515612 20152321 23031224 37425739 40304642 46062448 74851478 80609284 92124896 149702956 161218568 175613083 184249792 261980173 299405912 322437136 351226166 368499584 523960346 598811824 644874272 702452332 1047920692 1197623648 1229291581 1289748544 1404904664 2095841384 2282970079 2395247296 2458583162 2579497088 2809809328 4191682768 4565940158 4790494592 4917166324 5619618656 8383365536 9131880316 9834332648 11239237312 15980790553 16766731072 18263760632 19668665296 22478474624 31961581106 33533462144 36527521264 39337330592 63923162212 73055042528 78674661184 127846324424 146110085056 157349322368 255692648848 292220170112 511385297696 1022770595392 2045541190784