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21979542480 = 2435747278363
BaseRepresentation
bin10100011110000101…
…010011001111010000
32002201210101110000220
4110132011103033100
5330003230324410
614033001513040
71405450012530
oct243605231720
962653343026
1021979542480
119359973645
124314aa2780
1320c383b54c
1410c71774c0
1588993c070
hex51e1533d0

21979542480 has 160 divisors (see below), whose sum is σ = 79527481344. Its totient is φ = 4916986368.

The previous prime is 21979542467. The next prime is 21979542517. The reversal of 21979542480 is 8424597912.

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, 60222 + ... + 218141.

Almost surely, 221979542480 is an apocalyptic number.

21979542480 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 21979542480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39763740672).

21979542480 is an abundant number, since it is smaller than the sum of its proper divisors (57547938864).

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

21979542480 is a wasteful number, since it uses less digits than its factorization.

21979542480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278433 (or 278427 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 21979542480 in words is "twenty-one billion, nine hundred seventy-nine million, five hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 56 60 70 80 84 94 105 112 120 140 141 168 188 210 235 240 280 282 329 336 376 420 470 560 564 658 705 752 840 940 987 1128 1316 1410 1645 1680 1880 1974 2256 2632 2820 3290 3760 3948 4935 5264 5640 6580 7896 9870 11280 13160 15792 19740 26320 39480 78960 278363 556726 835089 1113452 1391815 1670178 1948541 2226904 2783630 3340356 3897082 4175445 4453808 5567260 5845623 6680712 7794164 8350890 9742705 11134520 11691246 13083061 13361424 15588328 16701780 19485410 22269040 23382492 26166122 29228115 31176656 33403560 38970820 39249183 46764984 52332244 58456230 65415305 66807120 77941640 78498366 91581427 93529968 104664488 116912460 130830610 155883280 156996732 183162854 196245915 209328976 233824920 261661220 274744281 313993464 366325708 392491830 457907135 467649840 523322440 549488562 627986928 732651416 784983660 915814270 1046644880 1098977124 1373721405 1465302832 1569967320 1831628540 2197954248 2747442810 3139934640 3663257080 4395908496 5494885620 7326514160 10989771240 21979542480