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2188956014730 = 234534764712037
BaseRepresentation
bin11111110110100111111…
…100100001100010001010
321202021002002220221210000
4133312213330201202022
5241330440214432410
64353331552103430
7314101241062212
oct37664774414212
97667062827700
102188956014730
11774370671431
122b4298b34b76
1312b5577c8404
1477d35cd1242
153be16ac4dc0
hex1fda7f2188a

2188956014730 has 160 divisors (see below), whose sum is σ = 5912436157056. Its totient is φ = 581091532416.

The previous prime is 2188956014711. The next prime is 2188956014747. The reversal of 2188956014730 is 374106598812.

2188956014730 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 9 + 560 + 1 + 4 + 73 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 181846272 + ... + 181858308.

It is a 1-persistent number, because it is pandigital, but 2⋅2188956014730 = 4377912029460 is not.

Almost surely, 22188956014730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2188956014730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956218078528).

2188956014730 is an abundant number, since it is smaller than the sum of its proper divisors (3723480142326).

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

2188956014730 is a wasteful number, since it uses less digits than its factorization.

2188956014730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13050 (or 13041 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2188956014730 in words is "two trillion, one hundred eighty-eight billion, nine hundred fifty-six million, fourteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 347 405 647 694 810 1041 1294 1735 1941 2082 3123 3235 3470 3882 5205 5823 6246 6470 9369 9705 10410 11646 12037 15615 17469 18738 19410 24074 28107 29115 31230 34938 36111 46845 52407 56214 58230 60185 72222 87345 93690 104814 108333 120370 140535 174690 180555 216666 224509 262035 281070 324999 361110 449018 524070 541665 649998 673527 974997 1083330 1122545 1347054 1624995 1949994 2020581 2245090 3249990 3367635 4041162 4176839 4874985 6061743 6735270 7787939 8353678 9749970 10102905 12123486 12530517 15575878 18185229 20205810 20884195 23363817 25061034 30308715 36370458 37591551 38939695 41768390 46727634 60617430 62652585 70091451 75183102 77879390 90926145 112774653 116819085 125305170 140182902 181852290 187957755 210274353 225549306 233638170 338323959 350457255 375915510 420548706 563873265 630823059 676647918 700914510 1051371765 1127746530 1261646118 1691619795 2102743530 2702414833 3154115295 3383239590 5404829666 6308230590 8107244499 13512074165 16214488998 24321733497 27024148330 40536222495 48643466994 72965200491 81072444990 121608667485 145930400982 218895601473 243217334970 364826002455 437791202946 729652004910 1094478007365 2188956014730