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4316105196 = 2233132892657
BaseRepresentation
bin1000000010100001…
…01000100111101100
3102010210111212021000
410001100220213230
532314410331241
61552141040300
7211646201034
oct40120504754
912123455230
104316105196
111915368797
12a05556090
1353a26ac00
142cd31a8c4
151a3db5eb6
hex1014289ec

4316105196 has 144 divisors (see below), whose sum is σ = 12257632800. Its totient is φ = 1312616448.

The previous prime is 4316105179. The next prime is 4316105207. The reversal of 4316105196 is 6915016134.

4316105196 is a `hidden beast` number, since 4 + 31 + 610 + 5 + 1 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4316105196.

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, 1623100 + ... + 1625756.

It is an arithmetic number, because the mean of its divisors is an integer number (85122450).

Almost surely, 24316105196 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 4316105196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128816400).

4316105196 is an abundant number, since it is smaller than the sum of its proper divisors (7941527604).

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

4316105196 is a wasteful number, since it uses less digits than its factorization.

4316105196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4316105196 is about 65697.0714415795. The cubic root of 4316105196 is about 1628.1609725787.

The spelling of 4316105196 in words is "four billion, three hundred sixteen million, one hundred five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 89 108 117 156 169 178 234 267 338 351 356 468 507 534 676 702 801 1014 1068 1157 1404 1521 1602 2028 2314 2403 2657 3042 3204 3471 4563 4628 4806 5314 6084 6942 7971 9126 9612 10413 10628 13884 15041 15942 18252 20826 23913 30082 31239 31884 34541 41652 45123 47826 60164 62478 69082 71739 90246 95652 103623 124956 135369 138164 143478 180492 207246 236473 270738 286956 310869 406107 414492 449033 472946 541476 621738 709419 812214 898066 932607 945892 1243476 1347099 1418838 1624428 1796132 1865214 2128257 2694198 2837676 3074149 3730428 4041297 4256514 5388396 6148298 6384771 8082594 8513028 9222447 12123891 12296596 12769542 16165188 18444894 24247782 25539084 27667341 36889788 39963937 48495564 55334682 79927874 83002023 110669364 119891811 159855748 166004046 239783622 332008092 359675433 479567244 719350866 1079026299 1438701732 2158052598 4316105196