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2052438089940 = 2232575330734323
BaseRepresentation
bin11101110111011110110…
…101111110000011010100
321021012200221100211020100
4131313132311332003110
5232111343122334230
64210513235134100
7301166220625530
oct35673665760324
97235627324210
102052438089940
117214858819a7
12291939444330
1311b70c468064
14714a4d16bc0
15385c691e660
hex1ddded7e0d4

2052438089940 has 144 divisors (see below), whose sum is σ = 7249366470528. Its totient is φ = 460277206272.

The previous prime is 2052438089927. The next prime is 2052438089963. The reversal of 2052438089940 is 499808342502.

2052438089940 is a `hidden beast` number, since 2 + 0 + 524 + 38 + 0 + 89 + 9 + 4 + 0 = 666.

It is a super-2 number, since 2×20524380899402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15300382 + ... + 15433941.

It is an arithmetic number, because the mean of its divisors is an integer number (50342822712).

Almost surely, 22052438089940 is an apocalyptic number.

2052438089940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2052438089940 is an abundant number, since it is smaller than the sum of its proper divisors (5196928380588).

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

2052438089940 is a wasteful number, since it uses less digits than its factorization.

2052438089940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30734398 (or 30734393 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2052438089940 in words is "two trillion, fifty-two billion, four hundred thirty-eight million, eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 126 140 159 180 210 212 252 265 315 318 371 420 477 530 630 636 742 795 954 1060 1113 1260 1484 1590 1855 1908 2226 2385 3180 3339 3710 4452 4770 5565 6678 7420 9540 11130 13356 16695 22260 33390 66780 30734323 61468646 92202969 122937292 153671615 184405938 215140261 276608907 307343230 368811876 430280522 461014845 553217814 614686460 645420783 860561044 922029690 1075701305 1106435628 1290841566 1383044535 1628919119 1844059380 1936262349 2151402610 2581683132 2766089070 3227103915 3257838238 3872524698 4302805220 4886757357 5532178140 6454207830 6515676476 7745049396 8144595595 9681311745 9773514714 11402433833 12908415660 14660272071 16289191190 19362623490 19547029428 22804867666 24433786785 29320544142 32578382380 34207301499 38725246980 45609735332 48867573570 57012169165 58641088284 68414602998 73301360355 97735147140 102621904497 114024338330 136829205996 146602720710 171036507495 205243808994 228048676660 293205441420 342073014990 410487617988 513109522485 684146029980 1026219044970 2052438089940