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21719250980 = 22572234322409
BaseRepresentation
bin10100001110100100…
…010111100000100100
32002001122121021012222
4110032210113200210
5323440112012410
613551102531512
71366136405300
oct241644274044
962048537188
1021719250980
119235a507a9
124261896b98
1320819346cb
1410a077cd00
15871b73955
hex50e917824

21719250980 has 144 divisors (see below), whose sum is σ = 56653914240. Its totient is φ = 6956877312.

The previous prime is 21719250967. The next prime is 21719250991. The reversal of 21719250980 is 8905291712.

It is a happy number.

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, 958016 + ... + 980424.

It is an arithmetic number, because the mean of its divisors is an integer number (393429960).

Almost surely, 221719250980 is an apocalyptic number.

21719250980 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 21719250980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28326957120).

21719250980 is an abundant number, since it is smaller than the sum of its proper divisors (34934663260).

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

21719250980 is a wasteful number, since it uses less digits than its factorization.

21719250980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22498 (or 22489 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 44.

The spelling of 21719250980 in words is "twenty-one billion, seven hundred nineteen million, two hundred fifty thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 43 46 49 70 86 92 98 115 140 161 172 196 215 230 245 301 322 430 460 490 602 644 805 860 980 989 1127 1204 1505 1610 1978 2107 2254 3010 3220 3956 4214 4508 4945 5635 6020 6923 8428 9890 10535 11270 13846 19780 21070 22409 22540 27692 34615 42140 44818 48461 69230 89636 96922 112045 138460 156863 193844 224090 242305 313726 448180 484610 515407 627452 784315 963587 969220 1030814 1098041 1568630 1927174 2061628 2196082 2577035 3137260 3607849 3854348 4392164 4817935 5154070 5490205 6745109 7215698 9635870 10308140 10980410 13490218 14431396 18039245 19271740 21960820 22162501 25254943 26980436 33725545 36078490 44325002 47215763 50509886 67451090 72156980 88650004 94431526 101019772 110812505 126274715 134902180 155137507 188863052 221625010 236078815 252549430 310275014 443250020 472157630 505098860 620550028 775687535 944315260 1085962549 1551375070 2171925098 3102750140 4343850196 5429812745 10859625490 21719250980