Search a number
-
+
10919236944 = 2437113779847
BaseRepresentation
bin10100010101101011…
…00101010101010000
31001011222110201011010
422022311211111100
5134330311040234
65003301050520
7534405661020
oct121265452520
931158421133
1010919236944
1146a3696370
1221489b6a40
13105028ab65
14758289a80
1543d9396e9
hex28ad65550

10919236944 has 160 divisors (see below), whose sum is σ = 36119402496. Its totient is φ = 2759477760.

The previous prime is 10919236873. The next prime is 10919236961. The reversal of 10919236944 is 44963291901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10919236893 and 10919236902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96829 + ... + 176675.

Almost surely, 210919236944 is an apocalyptic number.

10919236944 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 10919236944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18059701248).

10919236944 is an abundant number, since it is smaller than the sum of its proper divisors (25200165552).

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

10919236944 is a wasteful number, since it uses less digits than its factorization.

10919236944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79913 (or 79907 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 10919236944 in words is "ten billion, nine hundred nineteen million, two hundred thirty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 84 88 111 112 132 148 154 168 176 222 231 259 264 296 308 336 407 444 462 518 528 592 616 777 814 888 924 1036 1221 1232 1554 1628 1776 1848 2072 2442 2849 3108 3256 3696 4144 4884 5698 6216 6512 8547 9768 11396 12432 17094 19536 22792 34188 45584 68376 79847 136752 159694 239541 319388 479082 558929 638776 878317 958164 1117858 1277552 1676787 1756634 1916328 2235716 2634951 2954339 3353574 3513268 3832656 4471432 5269902 5908678 6148219 6707148 7026536 8863017 8942864 10539804 11817356 12296438 13414296 14053072 17726034 18444657 20680373 21079608 23634712 24592876 26828592 32497729 35452068 36889314 41360746 42159216 47269424 49185752 62041119 64995458 70904136 73778628 82721492 97493187 98371504 124082238 129990916 141808272 147557256 165442984 194986374 227484103 248164476 259981832 295114512 330885968 389972748 454968206 496328952 519963664 682452309 779945496 909936412 992657904 1364904618 1559890992 1819872824 2729809236 3639745648 5459618472 10919236944