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5416425121640 = 23513211379130253
BaseRepresentation
bin100111011010001110000…
…0110000110011101101000
3201011210201222110010110112
41032310130012012131220
51202220314312343030
615304134340033452
71066216030615151
oct116643406063550
921153658403415
105416425121640
1117a9102858955
127358a5992888
133039c75847a0
1414a229140928
1595d610d7a95
hex4ed1c186768

5416425121640 has 128 divisors (see below), whose sum is σ = 13221510422400. Its totient is φ = 1985165521920.

The previous prime is 5416425121579. The next prime is 5416425121643. The reversal of 5416425121640 is 461215246145.

It is a super-2 number, since 2×54164251216402 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5416425121643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41518754 + ... + 41649006.

It is an arithmetic number, because the mean of its divisors is an integer number (103293050175).

Almost surely, 25416425121640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5416425121640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610755211200).

5416425121640 is an abundant number, since it is smaller than the sum of its proper divisors (7805085300760).

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

5416425121640 is a wasteful number, since it uses less digits than its factorization.

5416425121640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130867 (or 130863 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 5416425121640 in words is "five trillion, four hundred sixteen billion, four hundred twenty-five million, one hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 211 260 379 422 520 758 844 1055 1516 1688 1895 2110 2743 3032 3790 4220 4927 5486 7580 8440 9854 10972 13715 15160 19708 21944 24635 27430 39416 49270 54860 79969 98540 109720 130253 159938 197080 260506 319876 399845 521012 639752 651265 799690 1039597 1042024 1302530 1599380 1693289 2079194 2605060 3198760 3386578 4158388 5197985 5210120 6773156 8316776 8466445 10395970 13546312 16932890 20791940 27483383 33865780 41583880 49365887 54966766 67731560 98731774 109933532 137416915 197463548 219867064 246829435 274833830 357283979 394927096 493658870 549667660 641756531 714567958 987317740 1099335320 1283513062 1429135916 1786419895 1974635480 2567026124 2858271832 3208782655 3572839790 5134052248 6417565310 7145679580 10416202157 12835130620 14291359160 20832404314 25670261240 41664808628 52081010785 83329617256 104162021570 135410628041 208324043140 270821256082 416648086280 541642512164 677053140205 1083285024328 1354106280410 2708212560820 5416425121640