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20611981824 = 29374146757
BaseRepresentation
bin10011001100100100…
…011110001000000000
31222012111002011111020
4103030210132020000
5314203131404244
613245150145440
71326532645320
oct231444361000
958174064436
1020611981824
118817a21025
123bb2ab2280
131c3640a165
14dd76ab280
15809853d19
hex4cc91e200

20611981824 has 160 divisors (see below), whose sum is σ = 64288135296. Its totient is φ = 5745377280.

The previous prime is 20611981807. The next prime is 20611981843. The reversal of 20611981824 is 42818911602.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417454 + ... + 464210.

Almost surely, 220611981824 is an apocalyptic number.

20611981824 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 20611981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32144067648).

20611981824 is an abundant number, since it is smaller than the sum of its proper divisors (43676153472).

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

20611981824 is an equidigital number, since it uses as much as digits as its factorization.

20611981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46826 (or 46810 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 20611981824 in words is "twenty billion, six hundred eleven million, nine hundred eighty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 287 328 336 384 448 492 512 574 656 672 768 861 896 984 1148 1312 1344 1536 1722 1792 1968 2296 2624 2688 3444 3584 3936 4592 5248 5376 6888 7872 9184 10496 10752 13776 15744 18368 20992 27552 31488 36736 46757 55104 62976 73472 93514 110208 140271 146944 187028 220416 280542 327299 374056 440832 561084 654598 748112 981897 1122168 1309196 1496224 1917037 1963794 2244336 2618392 2992448 3834074 3927588 4488672 5236784 5751111 5984896 7668148 7855176 8977344 10473568 11502222 11969792 13419259 15336296 15710352 17954688 20947136 23004444 23939584 26838518 30672592 31420704 35909376 40257777 41894272 46008888 53677036 61345184 62841408 71818752 80515554 83788544 92017776 107354072 122690368 125682816 161031108 167577088 184035552 214708144 245380736 251365632 322062216 368071104 429416288 490761472 502731264 644124432 736142208 858832576 981522944 1288248864 1472284416 1717665152 2576497728 2944568832 3435330304 5152995456 6870660608 10305990912 20611981824