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11344046252880 = 24351129148171973
BaseRepresentation
bin1010010100010011110111…
…0110001110001101010000
31111011110222002101012000210
42211010331312032031100
52441330101320043010
640043214412444120
72250403020113265
oct245047566161520
944143862335023
1011344046252880
113683a8a4099a0
121332676179640
1364397b69c593
142b30aa3d926c
1514a140baeb20
hexa513dd8e350

11344046252880 has 160 divisors (see below), whose sum is σ = 39686381516160. Its totient is φ = 2655241738240.

The previous prime is 11344046252863. The next prime is 11344046252881. The reversal of 11344046252880 is 8825264044311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344046252881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74009427 + ... + 74162546.

It is an arithmetic number, because the mean of its divisors is an integer number (248039884476).

Almost surely, 211344046252880 is an apocalyptic number.

11344046252880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11344046252880 is an abundant number, since it is smaller than the sum of its proper divisors (28342335263280).

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

11344046252880 is a wasteful number, since it uses less digits than its factorization.

11344046252880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148172029 (or 148172023 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 11344046252880 in words is "eleven trillion, three hundred forty-four billion, forty-six million, two hundred fifty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 148171973 296343946 444515919 592687892 740859865 889031838 1185375784 1481719730 1629891703 1778063676 2222579595 2370751568 2963439460 3259783406 3556127352 4296987217 4445159190 4889675109 5926878920 6519566812 7112254704 8149458515 8593974434 8890318380 9779350218 11853757840 12890961651 13039133624 16298917030 17187948868 17780636760 19558700436 21484936085 24448375545 25781923302 26078267248 32597834060 34375897736 35561273520 39117400872 42969872170 47266859387 48896751090 51563846604 64454808255 65195668120 68751795472 78234801744 85939744340 94533718774 97793502180 103127693208 128909616510 130391336240 141800578161 171879488680 189067437548 195587004360 206255386416 236334296935 257819233020 283601156322 343758977360 378134875096 391174008720 472668593870 515638466040 567202312644 709002890805 756269750192 945337187740 1031276932080 1134404625288 1418005781610 1890674375480 2268809250576 2836011563220 3781348750960 5672023126440 11344046252880