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4192893012 = 22371110742409
BaseRepresentation
bin1111100111101010…
…0111100001010100
3101211012200000220210
43321322213201110
532041340034022
61532020125420
7205622000610
oct37172474124
911735600823
104192893012
111861862640
12990236870
1351a88aba9
142bac06340
15198178a0c
hexf9ea7854

4192893012 has 96 divisors (see below), whose sum is σ = 12311792640. Its totient is φ = 1078859520.

The previous prime is 4192892959. The next prime is 4192893013. The reversal of 4192893012 is 2103982914.

It is a super-3 number, since 3×41928930123 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4192893013) 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, 77664 + ... + 120072.

It is an arithmetic number, because the mean of its divisors is an integer number (128247840).

Almost surely, 24192893012 is an apocalyptic number.

4192893012 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 4192893012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155896320).

4192893012 is an abundant number, since it is smaller than the sum of its proper divisors (8118899628).

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

4192893012 is a wasteful number, since it uses less digits than its factorization.

4192893012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42541 (or 42539 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 4192893012 is about 64752.5521659185. The cubic root of 4192893012 is about 1612.5180831816.

It can be divided in two parts, 41928 and 93012, that added together give a triangular number (134940 = T519).

The spelling of 4192893012 in words is "four billion, one hundred ninety-two million, eight hundred ninety-three thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 107 132 154 214 231 308 321 428 462 642 749 924 1177 1284 1498 2247 2354 2996 3531 4494 4708 7062 8239 8988 14124 16478 24717 32956 42409 49434 84818 98868 127227 169636 254454 296863 466499 508908 593726 890589 932998 1187452 1399497 1781178 1865996 2798994 3265493 3562356 4537763 5597988 6530986 9075526 9796479 13061972 13613289 18151052 19592958 27226578 31764341 39185916 49915393 54453156 63528682 95293023 99830786 127057364 149746179 190586046 199661572 299492358 349407751 381172092 598984716 698815502 1048223253 1397631004 2096446506 4192893012