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20124671220 = 223252935910739
BaseRepresentation
bin10010101111100001…
…100001110011110100
31220221112010020000100
4102233201201303310
5312203403434340
613124541314100
71311464611563
oct225741416364
956845106010
1020124671220
118597941395
123a97865930
131b89478aa4
14d8ca99bda
157cbb95830
hex4af861cf4

20124671220 has 144 divisors (see below), whose sum is σ = 63331632000. Its totient is φ = 5166610176.

The previous prime is 20124671219. The next prime is 20124671239. The reversal of 20124671220 is 2217642102.

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, 1868611 + ... + 1879349.

It is an arithmetic number, because the mean of its divisors is an integer number (439803000).

Almost surely, 220124671220 is an apocalyptic number.

20124671220 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 20124671220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31665816000).

20124671220 is an abundant number, since it is smaller than the sum of its proper divisors (43206960780).

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

20124671220 is a wasteful number, since it uses less digits than its factorization.

20124671220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11142 (or 11137 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 20124671220 in words is "twenty billion, one hundred twenty-four million, six hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 359 435 522 580 718 870 1044 1077 1305 1436 1740 1795 2154 2610 3231 3590 4308 5220 5385 6462 7180 10411 10739 10770 12924 16155 20822 21478 21540 31233 32217 32310 41644 42956 52055 53695 62466 64434 64620 93699 96651 104110 107390 124932 128868 156165 161085 187398 193302 208220 214780 311431 312330 322170 374796 386604 468495 483255 622862 624660 644340 934293 936990 966510 1245724 1557155 1868586 1873980 1933020 2802879 3114310 3737172 3855301 4671465 5605758 6228620 7710602 9342930 11211516 11565903 14014395 15421204 18685860 19276505 23131806 28028790 34697709 38553010 46263612 56057580 57829515 69395418 77106020 111803729 115659030 138790836 173488545 223607458 231318060 335411187 346977090 447214916 559018645 670822374 693954180 1006233561 1118037290 1341644748 1677055935 2012467122 2236074580 3354111870 4024934244 5031167805 6708223740 10062335610 20124671220