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11242555740 = 223251319252869
BaseRepresentation
bin10100111100001101…
…11100100101011100
31002000111212000011100
422132012330211130
5141011043240430
65055330553100
7545413101303
oct123606744534
932014760140
1011242555740
11484a147589
122219138790
1310a2261860
147891ad43a
1545c002960
hex29e1bc95c

11242555740 has 144 divisors (see below), whose sum is σ = 38658765600. Its totient is φ = 2621735424.

The previous prime is 11242555699. The next prime is 11242555741. The reversal of 11242555740 is 4755524211.

11242555740 is a `hidden beast` number, since 11 + 24 + 2 + 55 + 574 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11242555695 and 11242555704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242555741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81975 + ... + 170894.

It is an arithmetic number, because the mean of its divisors is an integer number (268463650).

Almost surely, 211242555740 is an apocalyptic number.

11242555740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242555740 is an abundant number, since it is smaller than the sum of its proper divisors (27416209860).

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

11242555740 is a wasteful number, since it uses less digits than its factorization.

11242555740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252916 (or 252911 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 11242555740 in words is "eleven billion, two hundred forty-two million, five hundred fifty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 252869 505738 758607 1011476 1264345 1517214 2275821 2528690 3034428 3287297 3793035 4551642 4804511 5057380 6574594 7586070 9103284 9609022 9861891 11379105 13149188 14413533 15172140 16436485 19218044 19723782 22758210 24022555 28827066 29585673 32872970 39447564 43240599 45516420 48045110 49309455 57654132 59171346 62458643 65745940 72067665 86481198 96090220 98618910 118342692 124917286 144135330 147928365 172962396 187375929 197237820 216202995 249834572 288270660 295856730 312293215 374751858 432405990 562127787 591713460 624586430 749503716 864811980 936879645 1124255574 1249172860 1873759290 2248511148 2810638935 3747518580 5621277870 11242555740