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21147400824 = 233111941102829
BaseRepresentation
bin10011101100011110…
…111011101001111000
32000120210120021021120
4103230132323221320
5321302213311244
613414234105240
71346023640544
oct235436735170
960523507246
1021147400824
118a7217a270
12412227b220
131cc0313934
141048842a24
1583b866819
hex4ec7bba78

21147400824 has 128 divisors (see below), whose sum is σ = 62191584000. Its totient is φ = 5922892800.

The previous prime is 21147400819. The next prime is 21147400829. The reversal of 21147400824 is 42800474112.

It is an interprime number because it is at equal distance from previous prime (21147400819) and next prime (21147400829).

It is a super-2 number, since 2×211474008242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21147400829) 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, 154242 + ... + 257070.

It is an arithmetic number, because the mean of its divisors is an integer number (485871750).

Almost surely, 221147400824 is an apocalyptic number.

21147400824 is a gapful number since it is divisible by the number (24) 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 21147400824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31095792000).

21147400824 is an abundant number, since it is smaller than the sum of its proper divisors (41044183176).

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

21147400824 is a wasteful number, since it uses less digits than its factorization.

21147400824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102909 (or 102905 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

Adding to 21147400824 its reverse (42800474112), we get a palindrome (63947874936).

The spelling of 21147400824 in words is "twenty-one billion, one hundred forty-seven million, four hundred thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 41 44 57 66 76 82 88 114 123 132 152 164 209 228 246 264 328 418 451 456 492 627 779 836 902 984 1254 1353 1558 1672 1804 2337 2508 2706 3116 3608 4674 5016 5412 6232 8569 9348 10824 17138 18696 25707 34276 51414 68552 102828 102829 205656 205658 308487 411316 616974 822632 1131119 1233948 1953751 2262238 2467896 3393357 3907502 4215989 4524476 5861253 6786714 7815004 8431978 9048952 11722506 12647967 13573428 15630008 16863956 21491261 23445012 25295934 27146856 33727912 42982522 46375879 46890024 50591868 64473783 80103791 85965044 92751758 101183736 128947566 139127637 160207582 171930088 185503516 240311373 257895132 278255274 320415164 371007032 480622746 515790264 556510548 640830328 881141701 961245492 1113021096 1762283402 1922490984 2643425103 3524566804 5286850206 7049133608 10573700412 21147400824