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2746161298960 = 245239267153773
BaseRepresentation
bin100111111101100011111…
…101111111111000010000
3100201112022200222012110021
4213331203331333320100
5324443114243031320
65501322531113224
7402255302620102
oct47754375777020
910645280865407
102746161298960
11969705508632
12384283a42814
1316bc673a63a1
1496cb475b572
154b679916daa
hex27f63f7fe10

2746161298960 has 80 divisors (see below), whose sum is σ = 6414059473920. Its totient is φ = 1093438563840.

The previous prime is 2746161298927. The next prime is 2746161298967. The reversal of 2746161298960 is 698921616472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2746161298967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51042634 + ... + 51096406.

It is an arithmetic number, because the mean of its divisors is an integer number (80175743424).

Almost surely, 22746161298960 is an apocalyptic number.

2746161298960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2746161298960 is an abundant number, since it is smaller than the sum of its proper divisors (3667898174960).

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

2746161298960 is a wasteful number, since it uses less digits than its factorization.

2746161298960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56696 (or 56690 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 2746161298960 in words is "two trillion, seven hundred forty-six billion, one hundred sixty-one million, two hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 956 1195 1912 2390 2671 3824 4780 5342 9560 10684 13355 19120 21368 26710 42736 53420 53773 106840 107546 213680 215092 268865 430184 537730 638369 860368 1075460 1276738 2150920 2553476 3191845 4301840 5106952 6383690 10213904 12767380 12851747 25534760 25703494 51069520 51406988 64258735 102813976 128517470 143627683 205627952 257034940 287255366 514069880 574510732 718138415 1028139760 1149021464 1436276830 2298042928 2872553660 5745107320 11490214640 34327016237 68654032474 137308064948 171635081185 274616129896 343270162370 549232259792 686540324740 1373080649480 2746161298960