Search a number
-
+
11457703620 = 223251119329983
BaseRepresentation
bin10101010101110111…
…01010111011000100
31002120111200122120100
422222323222323010
5141431133003440
65132534204100
7553634605506
oct125273527304
932514618510
1011457703620
11494a636350
1222791b3630
1311079c08ac
147a99b5d76
15470d50230
hex2aaeeaec4

11457703620 has 144 divisors (see below), whose sum is σ = 38112302592. Its totient is φ = 2763141120.

The previous prime is 11457703613. The next prime is 11457703657. The reversal of 11457703620 is 2630775411.

It is a happy number.

It is a super-2 number, since 2×114577036202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 367149 + ... + 397131.

It is an arithmetic number, because the mean of its divisors is an integer number (264668768).

Almost surely, 211457703620 is an apocalyptic number.

11457703620 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 11457703620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19056151296).

11457703620 is an abundant number, since it is smaller than the sum of its proper divisors (26654598972).

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

11457703620 is a wasteful number, since it uses less digits than its factorization.

11457703620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30202 (or 30197 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 11457703620 in words is "eleven billion, four hundred fifty-seven million, seven hundred three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 193 198 220 330 386 396 495 579 660 772 965 990 1158 1737 1930 1980 2123 2316 2895 3474 3860 4246 5790 6369 6948 8492 8685 10615 11580 12738 17370 19107 21230 25476 29983 31845 34740 38214 42460 59966 63690 76428 89949 95535 119932 127380 149915 179898 191070 269847 299830 329813 359796 382140 449745 539694 599660 659626 899490 989439 1079388 1319252 1349235 1649065 1798980 1978878 2698470 2968317 3298130 3957756 4947195 5396940 5786719 5936634 6596260 9894390 11573438 11873268 14841585 17360157 19788780 23146876 28933595 29683170 34720314 52080471 57867190 59366340 63653909 69440628 86800785 104160942 115734380 127307818 173601570 190961727 208321884 254615636 260402355 318269545 347203140 381923454 520804710 572885181 636539090 763846908 954808635 1041609420 1145770362 1273078180 1909617270 2291540724 2864425905 3819234540 5728851810 11457703620