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293214823090 = 257171932993931
BaseRepresentation
bin1000100010001001111…
…01110010001010110010
31001000211122102022211121
410101010331302022302
514301000443314330
6342411231132454
730120064605430
oct4210475621262
91030748368747
10293214823090
1110339613a482
12489b107412a
132185b19cc27
1410297d45d50
157961b7b17a
hex4444f722b2

293214823090 has 128 divisors (see below), whose sum is σ = 672655104000. Its totient is φ = 89587399680.

The previous prime is 293214823067. The next prime is 293214823123. The reversal of 293214823090 is 90328412392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74588425 + ... + 74592355.

It is an arithmetic number, because the mean of its divisors is an integer number (5255118000).

Almost surely, 2293214823090 is an apocalyptic number.

293214823090 is an abundant number, since it is smaller than the sum of its proper divisors (379440280910).

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

293214823090 is a wasteful number, since it uses less digits than its factorization.

293214823090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280.

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 293214823090 in words is "two hundred ninety-three billion, two hundred fourteen million, eight hundred twenty-three thousand, ninety".

Divisors: 1 2 5 7 10 14 17 19 34 35 38 70 85 95 119 133 170 190 238 266 323 595 646 665 1190 1330 1615 2261 3230 3299 3931 4522 6598 7862 11305 16495 19655 22610 23093 27517 32990 39310 46186 55034 56083 62681 66827 74689 112166 115465 125362 133654 137585 149378 230930 275170 280415 313405 334135 373445 392581 438767 467789 522823 560830 626810 668270 746890 785162 877534 935578 1045646 1065577 1269713 1962905 2131154 2193835 2338945 2539426 2614115 3925810 4387670 4677890 5228230 5327885 6348565 7459039 8887991 10655770 12697130 12968369 14918078 17775982 25936738 37295195 44439955 64841845 74590390 88879910 90778583 129683690 181557166 220462273 246399011 440924546 453892915 492798022 907785830 1102311365 1231995055 1543235911 1724793077 2204622730 2463990110 3086471822 3449586154 4188783187 7716179555 8377566374 8623965385 15432359110 17247930770 20943915935 29321482309 41887831870 58642964618 146607411545 293214823090