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1325481370272 = 253225158731237
BaseRepresentation
bin10011010010011100110…
…110001010001010100000
311200201022002001011220200
4103102130312022022200
5133204041212322042
62452530121505200
7164522443515543
oct23223466121240
94621262034820
101325481370272
11471151750894
12194a79042200
1397cb9292227
144822183885a
152472aed0c4c
hex1349cd8a2a0

1325481370272 has 144 divisors (see below), whose sum is σ = 3790923226272. Its totient is φ = 439303104000.

The previous prime is 1325481370097. The next prime is 1325481370349. The reversal of 1325481370272 is 2720731845231.

1325481370272 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 4 + 8 + 1 + 370 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42417438 + ... + 42448674.

It is an arithmetic number, because the mean of its divisors is an integer number (26325855738).

Almost surely, 21325481370272 is an apocalyptic number.

1325481370272 is a gapful number since it is divisible by the number (12) 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 1325481370272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895461613136).

1325481370272 is an abundant number, since it is smaller than the sum of its proper divisors (2465441856000).

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

1325481370272 is a wasteful number, since it uses less digits than its factorization.

1325481370272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32091 (or 32080 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1325481370272 in words is "one trillion, three hundred twenty-five billion, four hundred eighty-one million, three hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 251 288 502 587 753 1004 1174 1506 1761 2008 2259 2348 3012 3522 4016 4518 4696 5283 6024 7044 8032 9036 9392 10566 12048 14088 18072 18784 21132 24096 28176 31237 36144 42264 56352 62474 72288 84528 93711 124948 147337 169056 187422 249896 281133 294674 374844 442011 499792 562266 589348 749688 884022 999584 1124532 1178696 1326033 1499376 1768044 2249064 2357392 2652066 2998752 3536088 4498128 4714784 5304132 7072176 7840487 8996256 10608264 14144352 15680974 18336119 21216528 23521461 31361948 36672238 42433056 47042922 55008357 62723896 70564383 73344476 94085844 110016714 125447792 141128766 146688952 165025071 188171688 220033428 250895584 282257532 293377904 330050142 376343376 440066856 564515064 586755808 660100284 752686752 880133712 1129030128 1320200568 1760267424 2258060256 2640401136 4602365869 5280802272 9204731738 13807097607 18409463476 27614195214 36818926952 41421292821 55228390428 73637853904 82842585642 110456780856 147275707808 165685171284 220913561712 331370342568 441827123424 662740685136 1325481370272