Search a number
-
+
10346343255420 = 2235949331816429
BaseRepresentation
bin1001011010001111001000…
…0111010100110101111100
31100122002201110011120122220
42112203302013110311330
52324003302333133140
634001013335005340
72115333013422534
oct226436207246574
940562643146586
1010346343255420
113329950048007
1211b1235509850
135a086b269753
1427aaa10804c4
1512e1eae26bd0
hex968f21d4d7c

10346343255420 has 48 divisors (see below), whose sum is σ = 28970082224160. Its totient is φ = 2758994286336.

The previous prime is 10346343255371. The next prime is 10346343255427. The reversal of 10346343255420 is 2455234364301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10346343255427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4787766 + ... + 6604194.

It is an arithmetic number, because the mean of its divisors is an integer number (603543379670).

Almost surely, 210346343255420 is an apocalyptic number.

10346343255420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10346343255420 is an abundant number, since it is smaller than the sum of its proper divisors (18623738968740).

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

10346343255420 is a wasteful number, since it uses less digits than its factorization.

10346343255420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911374 (or 1911372 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 10346343255420 in words is "ten trillion, three hundred forty-six billion, three hundred forty-three million, two hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 94933 189866 284799 379732 474665 569598 949330 1139196 1423995 1816429 1898660 2847990 3632858 5449287 5695980 7265716 9082145 10898574 18164290 21797148 27246435 36328580 54492870 108985740 172439054257 344878108514 517317162771 689756217028 862195271285 1034634325542 1724390542570 2069268651084 2586585813855 3448781085140 5173171627710 10346343255420