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11421647600 = 2452117973257
BaseRepresentation
bin10101010001100100…
…01000001011110000
31002110222211211000012
422220302020023300
5141342420210400
65125205314052
7553016255066
oct125062101360
932428754005
1011421647600
114931249990
122269105928
1311003a827c
147a4cac036
1546cacbd35
hex2a8c882f0

11421647600 has 120 divisors (see below), whose sum is σ = 29981862288. Its totient is φ = 4146841600.

The previous prime is 11421647581. The next prime is 11421647621. The reversal of 11421647600 is 674612411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3505172 + ... + 3508428.

Almost surely, 211421647600 is an apocalyptic number.

11421647600 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 11421647600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14990931144).

11421647600 is an abundant number, since it is smaller than the sum of its proper divisors (18560214688).

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

11421647600 is a wasteful number, since it uses less digits than its factorization.

11421647600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 11421647600 in words is "eleven billion, four hundred twenty-one million, six hundred forty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 797 880 1100 1594 2200 3188 3257 3985 4400 6376 6514 7970 8767 12752 13028 15940 16285 17534 19925 26056 31880 32570 35068 35827 39850 43835 52112 63760 65140 70136 71654 79700 81425 87670 130280 140272 143308 159400 162850 175340 179135 219175 260560 286616 318800 325700 350680 358270 438350 573232 651400 701360 716540 876700 895675 1302800 1433080 1753400 1791350 2595829 2866160 3506800 3582700 5191658 7165400 10383316 12979145 14330800 20766632 25958290 28554119 41533264 51916580 57108238 64895725 103833160 114216476 129791450 142770595 207666320 228432952 259582900 285541190 456865904 519165800 571082380 713852975 1038331600 1142164760 1427705950 2284329520 2855411900 5710823800 11421647600