Search a number
-
+
21177419900 = 22527133762897
BaseRepresentation
bin10011101110010001…
…011100100001111100
32000122220001101201012
4103232101130201330
5321332404414100
613421225334352
71346540045660
oct235621344174
960586041635
1021177419900
118a8811301a
1241303373b8
131cc65c44c0
14104c8188a0
1583e2e6135
hex4ee45c87c

21177419900 has 144 divisors (see below), whose sum is σ = 58089573696. Its totient is φ = 6521057280.

The previous prime is 21177419881. The next prime is 21177419981. The reversal of 21177419900 is 991477112.

It is a super-2 number, since 2×211774199002 (a number of 21 digits) contains 22 as substring.

It is a congruent 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, 305252 + ... + 368148.

Almost surely, 221177419900 is an apocalyptic number.

21177419900 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 21177419900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29044786848).

21177419900 is an abundant number, since it is smaller than the sum of its proper divisors (36912153796).

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

21177419900 is a wasteful number, since it uses less digits than its factorization.

21177419900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62968 (or 62961 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 41.

The spelling of 21177419900 in words is "twenty-one billion, one hundred seventy-seven million, four hundred nineteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 37 50 52 65 70 74 91 100 130 140 148 175 182 185 259 260 325 350 364 370 455 481 518 650 700 740 910 925 962 1036 1295 1300 1820 1850 1924 2275 2405 2590 3367 3700 4550 4810 5180 6475 6734 9100 9620 12025 12950 13468 16835 24050 25900 33670 48100 62897 67340 84175 125794 168350 251588 314485 336700 440279 628970 817661 880558 1257940 1572425 1635322 1761116 2201395 2327189 3144850 3270644 4088305 4402790 4654378 5723627 6289700 8176610 8805580 9308756 11006975 11447254 11635945 16290323 16353220 20441525 22013950 22894508 23271890 28618135 30253457 32580646 40883050 44027900 46543780 57236270 58179725 60506914 65161292 81451615 81766100 114472540 116359450 121013828 143090675 151267285 162903230 211774199 232718900 286181350 302534570 325806460 407258075 423548398 572362700 605069140 756336425 814516150 847096796 1058870995 1512672850 1629032300 2117741990 3025345700 4235483980 5294354975 10588709950 21177419900