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190880408784 = 243132315798423
BaseRepresentation
bin1011000111000101011…
…0111110010011010000
3200020200210011110011210
42301301112332103100
511111410341040114
6223404513340120
716535123463342
oct2616126762320
9606623143153
10190880408784
1173a5201835a
1230bb1567640
1314cccb59060
14934ac59292
154e72a23259
hex2c715be4d0

190880408784 has 160 divisors (see below), whose sum is σ = 554544506880. Its totient is φ = 56136605184.

The previous prime is 190880408773. The next prime is 190880408801. The reversal of 190880408784 is 487804088091.

190880408784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22657597 + ... + 22666019.

It is an arithmetic number, because the mean of its divisors is an integer number (3465903168).

Almost surely, 2190880408784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190880408784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277272253440).

190880408784 is an abundant number, since it is smaller than the sum of its proper divisors (363664098096).

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

190880408784 is a wasteful number, since it uses less digits than its factorization.

190880408784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10049 (or 10043 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 190880408784 in words is "one hundred ninety billion, eight hundred eighty million, four hundred eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1579 1794 2392 3158 3588 4737 4784 6316 7176 8423 9474 12632 14352 16846 18948 20527 25264 25269 33692 36317 37896 41054 50538 61581 67384 72634 75792 82108 101076 108951 109499 123162 134768 145268 164216 193729 202152 217902 218998 246324 290536 328432 328497 387458 404304 435804 437996 472121 492648 581072 581187 656994 774916 871608 875992 944242 985296 1162374 1313988 1416363 1549832 1743216 1751984 1888484 2324748 2518477 2627976 2832726 3099664 3776968 4649496 5036954 5255952 5665452 7553936 7555431 9298992 10073908 11330904 13299917 15110862 20147816 22661808 26599834 30221724 39899751 40295632 53199668 60443448 79799502 106399336 120886896 159599004 172898921 212798672 305898091 319198008 345797842 518696763 611796182 638396016 691595684 917694273 1037393526 1223592364 1383191368 1835388546 2074787052 2447184728 2766382736 3670777092 3976675183 4149574104 4894369456 7341554184 7953350366 8299148208 11930025549 14683108368 15906700732 23860051098 31813401464 47720102196 63626802928 95440204392 190880408784