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17742738090 = 23571131247769
BaseRepresentation
bin10000100001100011…
…001011001010101010
31200210112002111000210
4100201203023022222
5242314120104330
612052332241550
71165452533250
oct204143131252
950715074023
1017742738090
117585349810
1235320102b6
131899b476bc
14c045c05d0
156dc9dc8b0
hex4218cb2aa

17742738090 has 128 divisors (see below), whose sum is σ = 54802759680. Its totient is φ = 3567859200.

The previous prime is 17742738047. The next prime is 17742738113. The reversal of 17742738090 is 9083724771.

17742738090 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52275 + ... + 195494.

It is an arithmetic number, because the mean of its divisors is an integer number (428146560).

Almost surely, 217742738090 is an apocalyptic number.

17742738090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17742738090 is an abundant number, since it is smaller than the sum of its proper divisors (37060021590).

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

17742738090 is a wasteful number, since it uses less digits than its factorization.

17742738090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247828.

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 17742738090 in words is "seventeen billion, seven hundred forty-two million, seven hundred thirty-eight thousand, ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 31 33 35 42 55 62 66 70 77 93 105 110 154 155 165 186 210 217 231 310 330 341 385 434 462 465 651 682 770 930 1023 1085 1155 1302 1705 2046 2170 2310 2387 3255 3410 4774 5115 6510 7161 10230 11935 14322 23870 35805 71610 247769 495538 743307 1238845 1486614 1734383 2477690 2725459 3468766 3716535 5203149 5450918 7433070 7680839 8176377 8671915 10406298 13627295 15361678 16352754 17343830 19078213 23042517 26015745 27254590 38156426 38404195 40881885 46085034 52031490 53765873 57234639 76808390 81763770 84489229 95391065 107531746 114469278 115212585 161297619 168978458 190782130 230425170 253467687 268829365 286173195 322595238 422446145 506935374 537658730 572346390 591424603 806488095 844892290 1182849206 1267338435 1612976190 1774273809 2534676870 2957123015 3548547618 5914246030 8871369045 17742738090