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21645442000 = 2453713118931
BaseRepresentation
bin10100001010001010…
…110011101111010000
32001212111201101100001
4110022022303233100
5323312213121000
613535504535344
71364252135620
oct241212635720
961774641301
1021645442000
1191a8318a46
124241021554
13206c561260
141094a48880
1586a44446a
hex50a2b3bd0

21645442000 has 160 divisors (see below), whose sum is σ = 64417377024. Its totient is φ = 6850368000.

The previous prime is 21645441997. The next prime is 21645442019. The reversal of 21645442000 is 24454612.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 21645442000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122535 + ... + 241465.

Almost surely, 221645442000 is an apocalyptic number.

21645442000 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 21645442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32208688512).

21645442000 is an abundant number, since it is smaller than the sum of its proper divisors (42771935024).

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

21645442000 is a wasteful number, since it uses less digits than its factorization.

21645442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118974 (or 118958 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 21645442000 its reverse (24454612), we get a palindrome (21669896612).

The spelling of 21645442000 in words is "twenty-one billion, six hundred forty-five million, four hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6500 7000 7280 9100 11375 13000 14000 18200 22750 26000 36400 45500 91000 118931 182000 237862 475724 594655 832517 951448 1189310 1546103 1665034 1902896 2378620 2973275 3092206 3330068 4162585 4757240 5946550 6184412 6660136 7730515 8325170 9514480 10822721 11893100 12368824 13320272 14866375 15461030 16650340 20812925 21645442 23786200 24737648 29732750 30922060 33300680 38652575 41625850 43290884 47572400 54113605 59465500 61844120 66601360 77305150 83251700 86581768 104064625 108227210 118931000 123688240 154610300 166503400 173163536 193262875 208129250 216454420 237862000 270568025 309220600 333006800 386525750 416258500 432908840 541136050 618441200 773051500 832517000 865817680 1082272100 1352840125 1546103000 1665034000 2164544200 2705680250 3092206000 4329088400 5411360500 10822721000 21645442000