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13840474590 = 2335533732593
BaseRepresentation
bin11001110001111010…
…01110000111011110
31022201120021221212000
430320331032013132
5211321130141330
610205213223130
7666660043605
oct147075160736
938646257760
1013840474590
115962650458
122823191aa6
1313c7556447
1495422ca3c
15560121560
hex338f4e1de

13840474590 has 128 divisors (see below), whose sum is σ = 37719665280. Its totient is φ = 3610054656.

The previous prime is 13840474561. The next prime is 13840474607. The reversal of 13840474590 is 9547404831.

13840474590 is a `hidden beast` number, since 13 + 8 + 4 + 0 + 47 + 4 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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, 5336334 + ... + 5338926.

It is an arithmetic number, because the mean of its divisors is an integer number (294684885).

Almost surely, 213840474590 is an apocalyptic number.

13840474590 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 13840474590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18859832640).

13840474590 is an abundant number, since it is smaller than the sum of its proper divisors (23879190690).

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

13840474590 is a wasteful number, since it uses less digits than its factorization.

13840474590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13840474590 in words is "thirteen billion, eight hundred forty million, four hundred seventy-four thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 373 477 530 746 795 954 1119 1431 1590 1865 2238 2385 2593 2862 3357 3730 4770 5186 5595 6714 7155 7779 10071 11190 12965 14310 15558 16785 19769 20142 23337 25930 33570 38895 39538 46674 50355 59307 70011 77790 98845 100710 116685 118614 137429 140022 177921 197690 233370 274858 296535 350055 355842 412287 533763 593070 687145 700110 824574 889605 967189 1067526 1236861 1374290 1779210 1934378 2061435 2473722 2668815 2901567 3710583 4122870 4835945 5337630 5803134 6184305 7421166 8704701 9671890 12368610 14507835 17409402 18552915 26114103 29015670 37105830 43523505 51261017 52228206 87047010 102522034 130570515 153783051 256305085 261141030 307566102 461349153 512610170 768915255 922698306 1384047459 1537830510 2306745765 2768094918 4613491530 6920237295 13840474590