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11378375060 = 22513172151429
BaseRepresentation
bin10101001100011010…
…00011100110010100
31002100222102100020112
422212031003212110
5141300331000220
65121022022152
7551652410063
oct124615034624
932328370215
1011378375060
114909883658
122256717958
1310c4437010
1479d2461da
15468dd05c5
hex2a6343994

11378375060 has 72 divisors (see below), whose sum is σ = 27335537880. Its totient is φ = 3954087936.

The previous prime is 11378375051. The next prime is 11378375137. The reversal of 11378375060 is 6057387311.

It can be written as a sum of positive squares in 12 ways, for example, as 2659671184 + 8718703876 = 51572^2 + 93374^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11378374999 and 11378375017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575 + ... + 150854.

Almost surely, 211378375060 is an apocalyptic number.

11378375060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11378375060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667768940).

11378375060 is an abundant number, since it is smaller than the sum of its proper divisors (15957162820).

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

11378375060 is a wasteful number, since it uses less digits than its factorization.

11378375060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151485 (or 151466 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 11378375060 in words is "eleven billion, three hundred seventy-eight million, three hundred seventy-five thousand, sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 289 340 442 578 884 1105 1156 1445 2210 2890 3757 4420 5780 7514 15028 18785 37570 75140 151429 302858 605716 757145 1514290 1968577 2574293 3028580 3937154 5148586 7874308 9842885 10297172 12871465 19685770 25742930 33465809 39371540 43762981 51485860 66931618 87525962 133863236 167329045 175051924 218814905 334658090 437629810 568918753 669316180 875259620 1137837506 2275675012 2844593765 5689187530 11378375060