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21604071972 = 22372137373719
BaseRepresentation
bin10100000111101100…
…111111101000100100
32001202121212120022210
4110013230333220210
5323221120300342
613531430123420
71363240403400
oct240754775044
961677776283
1021604071972
119186a3203a
12422b1b0570
132063b07c52
14108d35a100
158669c179c
hex507b3fa24

21604071972 has 144 divisors (see below), whose sum is σ = 59308381440. Its totient is φ = 6102609408.

The previous prime is 21604071953. The next prime is 21604072013. The reversal of 21604071972 is 27917040612.

It is a self number, because there is not a number n which added to its sum of digits gives 21604071972.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30047029 + ... + 30047747.

It is an arithmetic number, because the mean of its divisors is an integer number (411863760).

Almost surely, 221604071972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21604071972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29654190720).

21604071972 is an abundant number, since it is smaller than the sum of its proper divisors (37704309468).

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

21604071972 is a wasteful number, since it uses less digits than its factorization.

21604071972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 21604071972 in words is "twenty-one billion, six hundred four million, seventy-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 137 147 196 274 294 373 411 548 588 719 746 822 959 1119 1438 1492 1644 1918 2157 2238 2611 2876 2877 3836 4314 4476 5033 5222 5754 6713 7833 8628 10066 10444 11508 13426 15099 15666 18277 20132 20139 26852 30198 31332 35231 36554 40278 51101 54831 60396 70462 73108 80556 98503 102202 105693 109662 140924 153303 197006 204404 211386 219324 268187 295509 306606 357707 394012 422772 536374 591018 613212 689521 715414 804561 1072748 1073121 1182036 1379042 1430828 1609122 1877309 2068563 2146242 2503949 2758084 3218244 3754618 4137126 4292484 4826647 5007898 5631927 7509236 7511847 8274252 9653294 10015796 11263854 13141163 14479941 15023694 19306588 22527708 26282326 28959882 30047388 36741619 39423489 52564652 57919764 73483238 78846978 110224857 146966476 157693956 220449714 257191333 440899428 514382666 771573999 1028765332 1543147998 1800339331 3086295996 3600678662 5401017993 7201357324 10802035986 21604071972