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11340015552 = 26349772239
BaseRepresentation
bin10101000111110101…
…01110011111000000
31002021022020110220000
422203322232133000
5141211020444202
65113131520000
7551005353555
oct124372563700
932238213800
1011340015552
11489a163588
1222458b9000
1310b94c6098
147980dca2c
1546585491c
hex2a3eae7c0

11340015552 has 140 divisors (see below), whose sum is σ = 33664794240. Its totient is φ = 3774449664.

The previous prime is 11340015523. The next prime is 11340015623. The reversal of 11340015552 is 25551004311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5063649 + ... + 5065887.

It is an arithmetic number, because the mean of its divisors is an integer number (240462816).

Almost surely, 211340015552 is an apocalyptic number.

11340015552 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 11340015552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16832397120).

11340015552 is an abundant number, since it is smaller than the sum of its proper divisors (22324778688).

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

11340015552 is an equidigital number, since it uses as much as digits as its factorization.

11340015552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 11340015552 its reverse (25551004311), we get a palindrome (36891019863).

The spelling of 11340015552 in words is "eleven billion, three hundred forty million, fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 977 1296 1728 1954 2239 2592 2931 3908 4478 5184 5862 6717 7816 8793 8956 11724 13434 15632 17586 17912 20151 23448 26379 26868 31264 35172 35824 40302 46896 52758 53736 60453 62528 70344 71648 79137 80604 93792 105516 107472 120906 140688 143296 158274 161208 181359 187584 211032 214944 241812 281376 316548 322416 362718 422064 429888 483624 562752 633096 644832 725436 844128 967248 1266192 1289664 1450872 1688256 1934496 2187503 2532384 2901744 3868992 4375006 5064768 5803488 6562509 8750012 11606976 13125018 17500024 19687527 26250036 35000048 39375054 52500072 59062581 70000096 78750108 105000144 118125162 140000192 157500216 177187743 210000288 236250324 315000432 354375486 420000576 472500648 630000864 708750972 945001296 1260001728 1417501944 1890002592 2835003888 3780005184 5670007776 11340015552