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3433520477380 = 2257372131136753
BaseRepresentation
bin110001111101101101110…
…001001011010011000100
3110011020111221112022220011
4301331231301023103010
5422223322220234010
611145200523520004
7503030560341310
oct61755561132304
913136457468804
103433520477380
111104169885944
12475533089004
131bba199bc436
14bc27ccb2b40
155e4a8d6aa8a
hex31f6dc4b4c4

3433520477380 has 144 divisors (see below), whose sum is σ = 8533895965056. Its totient is φ = 1136638863360.

The previous prime is 3433520477377. The next prime is 3433520477399. The reversal of 3433520477380 is 837740253343.

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, 25039084 + ... + 25175836.

It is an arithmetic number, because the mean of its divisors is an integer number (59263166424).

Almost surely, 23433520477380 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 3433520477380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266947982528).

3433520477380 is an abundant number, since it is smaller than the sum of its proper divisors (5100375487676).

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

3433520477380 is a wasteful number, since it uses less digits than its factorization.

3433520477380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136974 (or 136935 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 3433520477380 in words is "three trillion, four hundred thirty-three billion, five hundred twenty million, four hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 131 140 148 185 259 262 370 518 524 655 740 917 1036 1295 1310 1369 1834 2590 2620 2738 3668 4585 4847 5180 5476 6845 9170 9583 9694 13690 18340 19166 19388 24235 27380 33929 38332 47915 48470 67858 95830 96940 135716 136753 169645 179339 191660 273506 339290 358678 547012 678580 683765 717356 896695 957271 1255373 1367530 1793390 1914542 2510746 2735060 3586780 3829084 4786355 5021492 5059861 6276865 9572710 10119722 12553730 17914643 19145420 20239444 25107460 25299305 35419027 35829286 50598610 70838054 71658572 89573215 101197220 125402501 141676108 177095135 179146430 187214857 250805002 354190270 358292860 374429714 501610004 627012505 662841791 708380540 748859428 936074285 1254025010 1310503999 1325683582 1872148570 2508050020 2621007998 2651367164 3314208955 3744297140 4639892537 5242015996 6552519995 6628417910 9279785074 13105039990 13256835820 18559570148 23199462685 24525146267 26210079980 46398925370 49050292534 92797850740 98100585068 122625731335 171676023869 245251462670 343352047738 490502925340 686704095476 858380119345 1716760238690 3433520477380