Search a number
-
+
3349763631104 = 21111374018739
BaseRepresentation
bin110000101111101101011…
…110001010100000000000
3102212020022210020200122112
4300233231132022200000
5414340303442143404
611042505443554452
7464004160032152
oct60575536124000
912766283220575
103349763631104
111081699272630
1246125908ba28
131b3b5c44c377
14b81b51daad2
155c205b5756e
hex30bed78a800

3349763631104 has 96 divisors (see below), whose sum is σ = 7504273576800. Its totient is φ = 1481467576320.

The previous prime is 3349763631101. The next prime is 3349763631113. The reversal of 3349763631104 is 4011363679433.

It is a super-2 number, since 2×33497636311042 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3349763631101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1175834 + ... + 2842905.

It is an arithmetic number, because the mean of its divisors is an integer number (78169516425).

Almost surely, 23349763631104 is an apocalyptic number.

It is an amenable number.

3349763631104 is an abundant number, since it is smaller than the sum of its proper divisors (4154509945696).

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

3349763631104 is a wasteful number, since it uses less digits than its factorization.

3349763631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018809 (or 4018789 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 50.

The spelling of 3349763631104 in words is "three trillion, three hundred forty-nine billion, seven hundred sixty-three million, six hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 512 592 704 814 1024 1184 1408 1628 2048 2368 2816 3256 4736 5632 6512 9472 11264 13024 18944 22528 26048 37888 52096 75776 104192 208384 416768 833536 4018739 8037478 16074956 32149912 44206129 64299824 88412258 128599648 148693343 176824516 257199296 297386686 353649032 514398592 594773372 707298064 1028797184 1189546744 1414596128 1635626773 2057594368 2379093488 2829192256 3271253546 4115188736 4758186976 5658384512 6542507092 8230377472 9516373952 11316769024 13085014184 19032747904 22633538048 26170028368 38065495808 45267076096 52340056736 76130991616 90534152192 104680113472 152261983232 209360226944 304523966464 418720453888 837440907776 1674881815552 3349763631104