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10754314376 = 23131753114769
BaseRepresentation
bin10100000010000000…
…11101000010001000
31000202111010202220212
422001000131002020
5134011101030001
64535050140252
7530334110141
oct120100350210
930674122825
1010754314376
114619591623
122101721688
131025065940
147403d8ac8
1542e20d7bb
hex28101d088

10754314376 has 64 divisors (see below), whose sum is σ = 23426852400. Its totient is φ = 4583374848.

The previous prime is 10754314369. The next prime is 10754314381. The reversal of 10754314376 is 67341345701.

It can be written as a sum of positive squares in 8 ways, for example, as 4302048100 + 6452266276 = 65590^2 + 80326^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36320 + ... + 151088.

Almost surely, 210754314376 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 10754314376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11713426200).

10754314376 is an abundant number, since it is smaller than the sum of its proper divisors (12672538024).

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

10754314376 is a wasteful number, since it uses less digits than its factorization.

10754314376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114858 (or 114854 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 10754314376 in words is "ten billion, seven hundred fifty-four million, three hundred fourteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 104 106 136 212 221 424 442 689 884 901 1378 1768 1802 2756 3604 5512 7208 11713 23426 46852 93704 114769 229538 459076 918152 1491997 1951073 2983994 3902146 5967988 6082757 7804292 11935976 12165514 15608584 24331028 25363949 48662056 50727898 79075841 101455796 103406869 158151682 202911592 206813738 316303364 413627476 632606728 827254952 1344289297 2688578594 5377157188 10754314376