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21644113400 = 23527213169891
BaseRepresentation
bin10100001010000101…
…101111010111111000
32001212102012212211122
4110022011233113320
5323311343112100
613535420244412
71364234633300
oct241205572770
961772185748
1021644113400
1191a75a0828
1242406a0708
13206c1b75c0
1410947c0600
1586a280985
hex50a16f5f8

21644113400 has 144 divisors (see below), whose sum is σ = 63041824440. Its totient is φ = 6849964800.

The previous prime is 21644113399. The next prime is 21644113429. The reversal of 21644113400 is 431144612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 21644113400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42455 + ... + 212345.

Almost surely, 221644113400 is an apocalyptic number.

21644113400 is a gapful number since it is divisible by the number (20) 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 21644113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31520912220).

21644113400 is an abundant number, since it is smaller than the sum of its proper divisors (41397711040).

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

21644113400 is a wasteful number, since it uses less digits than its factorization.

21644113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169934 (or 169918 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 21644113400 in words is "twenty-one billion, six hundred forty-four million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 49 50 52 56 65 70 91 98 100 104 130 140 175 182 196 200 245 260 280 325 350 364 392 455 490 520 637 650 700 728 910 980 1225 1274 1300 1400 1820 1960 2275 2450 2548 2600 3185 3640 4550 4900 5096 6370 9100 9800 12740 15925 18200 25480 31850 63700 127400 169891 339782 679564 849455 1189237 1359128 1698910 2208583 2378474 3397820 4247275 4417166 4756948 5946185 6795640 8324659 8494550 8834332 9513896 11042915 11892370 15460081 16649318 16989100 17668664 22085830 23784740 29730925 30920162 33298636 33978200 41623295 44171660 47569480 55214575 59461850 61840324 66597272 77300405 83246590 88343320 108220567 110429150 118923700 123680648 154600810 166493180 208116475 216441134 220858300 237847400 309201620 332986360 386502025 416232950 432882268 441716600 541102835 618403240 773004050 832465900 865764536 1082205670 1546008100 1664931800 2164411340 2705514175 3092016200 4328822680 5411028350 10822056700 21644113400