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21964299280 = 2457116158453
BaseRepresentation
bin10100011101001011…
…001001110000010000
32002200201201000021221
4110131023021300100
5324440330034110
614031255054424
71405203314650
oct243513116020
962621630257
1021964299280
119351302160
12430b971414
1320c06322c1
1410c512a360
1588842a7da
hex51d2c9c10

21964299280 has 160 divisors (see below), whose sum is σ = 64712786688. Its totient is φ = 6733670400.

The previous prime is 21964299271. The next prime is 21964299293. The reversal of 21964299280 is 8299246912.

It is a super-2 number, since 2×219642992802 (a number of 21 digits) contains 22 as substring.

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, 346534 + ... + 404986.

Almost surely, 221964299280 is an apocalyptic number.

21964299280 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 21964299280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32356393344).

21964299280 is an abundant number, since it is smaller than the sum of its proper divisors (42748487408).

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

21964299280 is a wasteful number, since it uses less digits than its factorization.

21964299280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58545 (or 58539 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

It can be divided in two parts, 2196 and 4299280, that added together give a square (4301476 = 20742).

The spelling of 21964299280 in words is "twenty-one billion, nine hundred sixty-four million, two hundred ninety-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 61 70 77 80 88 110 112 122 140 154 176 220 244 280 305 308 385 427 440 488 560 610 616 671 770 854 880 976 1220 1232 1342 1540 1708 2135 2440 2684 3080 3355 3416 4270 4697 4880 5368 6160 6710 6832 8540 9394 10736 13420 17080 18788 23485 26840 34160 37576 46970 53680 58453 75152 93940 116906 187880 233812 292265 375760 409171 467624 584530 642983 818342 935248 1169060 1285966 1636684 2045855 2338120 2571932 3214915 3273368 3565633 4091710 4500881 4676240 5143864 6429830 6546736 7131266 8183420 9001762 10287728 12859660 14262532 16366840 17828165 18003524 22504405 24959431 25719320 28525064 32733680 35656330 36007048 39221963 45008810 49918862 51438640 57050128 71312660 72014096 78443926 90017620 99837724 124797155 142625320 156887852 180035240 196109815 199675448 249594310 274553741 285250640 313775704 360070480 392219630 399350896 499188620 549107482 627551408 784439260 998377240 1098214964 1372768705 1568878520 1996754480 2196429928 2745537410 3137757040 4392859856 5491074820 10982149640 21964299280