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2188280841552 = 243313794932293
BaseRepresentation
bin11111110101111111101…
…100111100010101010000
321202012100001110121022000
4133311333230330111100
5241323044343412202
64353140552514000
7314045432152251
oct37657754742520
97665301417260
102188280841552
11774054539873
122b412a9ab900
1312b47a96c460
1477cb037ab28
153bdc76a891c
hex1fd7fb3c550

2188280841552 has 160 divisors (see below), whose sum is σ = 6849969907200. Its totient is φ = 664794044928.

The previous prime is 2188280841541. The next prime is 2188280841557. The reversal of 2188280841552 is 2551480828812.

2188280841552 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 2 + 8 + 0 + 84 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2188280841557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2022483 + ... + 2909810.

It is an arithmetic number, because the mean of its divisors is an integer number (42812311920).

Almost surely, 22188280841552 is an apocalyptic number.

It is an amenable number.

2188280841552 is an abundant number, since it is smaller than the sum of its proper divisors (4661689065648).

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

2188280841552 is a wasteful number, since it uses less digits than its factorization.

2188280841552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932402 (or 4932390 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 54.

The spelling of 2188280841552 in words is "two trillion, one hundred eighty-eight billion, two hundred eighty million, eight hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 79 104 108 117 144 156 158 208 216 234 237 312 316 351 432 468 474 624 632 702 711 936 948 1027 1264 1404 1422 1872 1896 2054 2133 2808 2844 3081 3792 4108 4266 5616 5688 6162 8216 8532 9243 11376 12324 16432 17064 18486 24648 27729 34128 36972 49296 55458 73944 110916 147888 221832 443664 4932293 9864586 14796879 19729172 29593758 39458344 44390637 59187516 64119809 78916688 88781274 118375032 128239618 133171911 177562548 192359427 236750064 256479236 266343822 355125096 384718854 389651147 512958472 532687644 577078281 710250192 769437708 779302294 1025916944 1065375288 1154156562 1168953441 1538875416 1558604588 1731234843 2130750576 2308313124 2337906882 3077750832 3117209176 3462469686 3506860323 4616626248 4675813764 5065464911 6234418352 6924939372 7013720646 9233252496 9351627528 10130929822 10520580969 13849878744 14027441292 15196394733 18703255056 20261859644 21041161938 27699757488 28054882584 30392789466 40523719288 42082323876 45589184199 56109765168 60785578932 81047438576 84164647752 91178368398 121571157864 136767552597 168329295504 182356736796 243142315728 273535105194 364713473592 547070210388 729426947184 1094140420776 2188280841552