Search a number
-
+
190919069264 = 24721187725243
BaseRepresentation
bin1011000111001110101…
…0011100111001010000
3200020210110220121101102
42301303222130321100
511112000240204024
6223412414123532
716536103212200
oct2616352347120
9606713817342
10190919069264
1173a71923570
12310024b05a8
1315007b73c91
149352040400
154e7610d1ae
hex2c73a9ce50

190919069264 has 120 divisors (see below), whose sum is σ = 469970375328. Its totient is φ = 74296293120.

The previous prime is 190919069261. The next prime is 190919069287. The reversal of 190919069264 is 462960919091.

190919069264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190919069261) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7550627 + ... + 7575869.

Almost surely, 2190919069264 is an apocalyptic number.

190919069264 is a gapful number since it is divisible by the number (14) 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 190919069264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234985187664).

190919069264 is an abundant number, since it is smaller than the sum of its proper divisors (279051306064).

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

190919069264 is a wasteful number, since it uses less digits than its factorization.

190919069264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26153 (or 26140 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 56.

The spelling of 190919069264 in words is "one hundred ninety billion, nine hundred nineteen million, sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 877 1078 1232 1754 2156 3508 4312 6139 7016 8624 9647 12278 14032 19294 24556 25243 38588 42973 49112 50486 67529 77176 85946 98224 100972 135058 154352 171892 176701 201944 270116 277673 343784 353402 403888 472703 540232 555346 687568 706804 945406 1080464 1110692 1236907 1413608 1890812 1943711 2221384 2473814 2827216 3781624 3887422 4442768 4947628 7563248 7774844 9895256 13605977 15549688 19790512 22138111 27211954 31099376 44276222 54423908 88552444 108847816 154966777 177104888 217695632 243519221 309933554 354209776 487038442 619867108 974076884 1084767439 1239734216 1704634547 1948153768 2169534878 2479468432 3409269094 3896307536 4339069756 6818538188 8678139512 11932441829 13637076376 17356279024 23864883658 27274152752 47729767316 95459534632 190919069264