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4198354526352 = 243767892095439
BaseRepresentation
bin111101000110000001011…
…011100010000010010000
3112212100200112201122221010
4331012001123202002100
51022241212224320402
612532410351530520
7612215065443630
oct75060133420220
915770615648833
104198354526352
11137956a752098
12579804529a40
13245b9824ca5c
141072b6a906c0
157431ec4ba6c
hex3d1816e2090

4198354526352 has 160 divisors (see below), whose sum is σ = 12721500057600. Its totient is φ = 1168349174784.

The previous prime is 4198354526309. The next prime is 4198354526413. The reversal of 4198354526352 is 2536254538914.

It is a junction number, because it is equal to n+sod(n) for n = 4198354526292 and 4198354526301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955849 + ... + 3051287.

It is an arithmetic number, because the mean of its divisors is an integer number (79509375360).

Almost surely, 24198354526352 is an apocalyptic number.

4198354526352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198354526352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360750028800).

4198354526352 is an abundant number, since it is smaller than the sum of its proper divisors (8523145531248).

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

4198354526352 is a wasteful number, since it uses less digits than its factorization.

4198354526352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095613 (or 2095607 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 57.

The spelling of 4198354526352 in words is "four trillion, one hundred ninety-eight billion, three hundred fifty-four million, five hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 89 112 134 168 178 201 267 268 336 356 402 469 534 536 623 712 804 938 1068 1072 1246 1407 1424 1608 1869 1876 2136 2492 2814 3216 3738 3752 4272 4984 5628 5963 7476 7504 9968 11256 11926 14952 17889 22512 23852 29904 35778 41741 47704 71556 83482 95408 125223 143112 166964 250446 286224 333928 500892 667856 1001784 2003568 2095439 4190878 6286317 8381756 12572634 14668073 16763512 25145268 29336146 33527024 44004219 50290536 58672292 88008438 100581072 117344584 140394413 176016876 186494071 234689168 280788826 352033752 372988142 421183239 559482213 561577652 704067504 745976284 842366478 982760891 1118964426 1123155304 1305458497 1491952568 1684732956 1965521782 2237928852 2246310608 2610916994 2948282673 2983905136 3369465912 3916375491 3931043564 4475857704 5221833988 5896565346 6738931824 7832750982 7862087128 8951715408 10443667976 11793130692 12495102757 15665501964 15724174256 20887335952 23586261384 24990205514 31331003928 37485308271 47172522768 49980411028 62662007856 74970616542 87465719299 99960822056 149941233084 174931438598 199921644112 262397157897 299882466168 349862877196 524794315794 599764932336 699725754392 1049588631588 1399451508784 2099177263176 4198354526352