Search a number
-
+
190850826880 = 275761698371
BaseRepresentation
bin1011000110111110011…
…0001000001010000000
3200020121201111112102201
42301233212020022000
511111330302430010
6223401535322544
716534314155620
oct2615746101200
9606551445381
10190850826880
1173a37352aaa
1230ba3680454
1314cc699c47c
149346d58880
154e7012d23a
hex2c6f988280

190850826880 has 128 divisors (see below), whose sum is σ = 529980543360. Its totient is φ = 64361779200.

The previous prime is 190850826869. The next prime is 190850826953. The reversal of 190850826880 is 88628058091.

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

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

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, 75906 + ... + 622465.

It is an arithmetic number, because the mean of its divisors is an integer number (4140472995).

Almost surely, 2190850826880 is an apocalyptic number.

190850826880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190850826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264990271680).

190850826880 is an abundant number, since it is smaller than the sum of its proper divisors (339129716480).

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

190850826880 is an equidigital number, since it uses as much as digits as its factorization.

190850826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698458 (or 698446 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 55.

The spelling of 190850826880 in words is "one hundred ninety billion, eight hundred fifty million, eight hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 128 140 160 224 244 280 305 320 427 448 488 560 610 640 854 896 976 1120 1220 1708 1952 2135 2240 2440 3416 3904 4270 4480 4880 6832 7808 8540 9760 13664 17080 19520 27328 34160 39040 54656 68320 136640 273280 698371 1396742 2793484 3491855 4888597 5586968 6983710 9777194 11173936 13967420 19554388 22347872 24442985 27934840 39108776 42600631 44695744 48885970 55869680 78217552 85201262 89391488 97771940 111739360 156435104 170402524 195543880 213003155 223478720 298204417 312870208 340805048 391087760 426006310 446957440 596408834 625740416 681610096 782175520 852012620 1192817668 1363220192 1491022085 1564351040 1704025240 2385635336 2726440384 2982044170 3128702080 3408050480 4771270672 5452880768 5964088340 6816100960 9542541344 11928176680 13632201920 19085082688 23856353360 27264403840 38170165376 47712706720 95425413440 190850826880