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1129438281690 = 234579128313757
BaseRepresentation
bin10000011011110111110…
…001000111111111011010
310222222021111101102110000
4100123313301013333122
5122001042200003230
62222505022033430
7144412350664455
oct20336761077732
93888244342400
101129438281690
113a5aa0513814
12162a86718876
1382675989174
143c94509249c
151e5a511eb60
hex106f7c47fda

1129438281690 has 160 divisors (see below), whose sum is σ = 3077996993280. Its totient is φ = 297117714816.

The previous prime is 1129438281679. The next prime is 1129438281701. The reversal of 1129438281690 is 961828349211.

It is a happy number.

1129438281690 is a `hidden beast` number, since 1 + 1 + 29 + 438 + 28 + 169 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1129438281679) and next prime (1129438281701).

It is a super-2 number, since 2×11294382816902 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82092292 + ... + 82106048.

It is an arithmetic number, because the mean of its divisors is an integer number (19237481208).

Almost surely, 21129438281690 is an apocalyptic number.

1129438281690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129438281690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538998496640).

1129438281690 is an abundant number, since it is smaller than the sum of its proper divisors (1948558711590).

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

1129438281690 is a wasteful number, since it uses less digits than its factorization.

1129438281690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15138 (or 15129 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1129438281690 in words is "one trillion, one hundred twenty-nine billion, four hundred thirty-eight million, two hundred eighty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 270 395 405 474 711 790 810 1185 1283 1422 2133 2370 2566 3555 3849 4266 6399 6415 7110 7698 10665 11547 12798 12830 13757 19245 21330 23094 27514 31995 34641 38490 41271 57735 63990 68785 69282 82542 101357 103923 115470 123813 137570 173205 202714 206355 207846 247626 304071 346410 371439 412710 506785 519615 608142 619065 742878 912213 1013570 1039230 1086803 1114317 1238130 1520355 1824426 1857195 2173606 2228634 2736639 3040710 3260409 3714390 4561065 5434015 5473278 5571585 6520818 8209917 9122130 9781227 10868030 11143170 13683195 16302045 16419834 17650231 19562454 27366390 29343681 32604090 35300462 41049585 48906135 52950693 58687362 82099170 88031043 88251155 97812270 105901386 146718405 158852079 176062086 176502310 264753465 293436810 317704158 440155215 476556237 529506930 794260395 880310430 953112474 1394368249 1429668711 1588520790 2382781185 2788736498 2859337422 4183104747 4765562370 6971841245 7148343555 8366209494 12549314241 13943682490 14296687110 20915523735 25098628482 37647942723 41831047470 62746571205 75295885446 112943828169 125493142410 188239713615 225887656338 376479427230 564719140845 1129438281690