Search a number
-
+
14905724928 = 212310311777
BaseRepresentation
bin11011110000111001…
…10101000000000000
31102110210202021121020
431320130311000000
5221011331144203
610503025225440
71035243366663
oct157034650000
942423667536
1014905724928
116359990836
122a7ba92280
13153715b2a3
14a158c36da
155c38e1153
hex378735000

14905724928 has 104 divisors (see below), whose sum is σ = 40133016768. Its totient is φ = 4919918592.

The previous prime is 14905724927. The next prime is 14905724971. The reversal of 14905724928 is 82942750941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14905724923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259776 + ... + 1271552.

It is an arithmetic number, because the mean of its divisors is an integer number (385894392).

Almost surely, 214905724928 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 14905724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20066508384).

14905724928 is an abundant number, since it is smaller than the sum of its proper divisors (25227291840).

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

14905724928 is a wasteful number, since it uses less digits than its factorization.

14905724928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11907 (or 11885 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 14905724928 in words is "fourteen billion, nine hundred five million, seven hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 512 618 768 824 1024 1236 1536 1648 2048 2472 3072 3296 4096 4944 6144 6592 9888 11777 12288 13184 19776 23554 26368 35331 39552 47108 52736 70662 79104 94216 105472 141324 158208 188432 210944 282648 316416 376864 421888 565296 632832 753728 1130592 1213031 1265664 1507456 2261184 2426062 3014912 3639093 4522368 4852124 6029824 7278186 9044736 9704248 12059648 14556372 18089472 19408496 24119296 29112744 36178944 38816992 48238592 58225488 72357888 77633984 116450976 144715776 155267968 232901952 310535936 465803904 621071872 931607808 1242143744 1863215616 2484287488 3726431232 4968574976 7452862464 14905724928