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20121304944 = 24313212719531
BaseRepresentation
bin10010101111010100…
…101011111101110000
31220221021210012100110
4102233110223331300
5312202023224234
613124341221320
71311424161426
oct225724537560
956837705313
1020121304944
118595a52244
123a96701840
131b8886a800
14d8c461116
157cb72d1e9
hex4af52bf70

20121304944 has 120 divisors (see below), whose sum is σ = 56732178432. Its totient is φ = 6142106880.

The previous prime is 20121304913. The next prime is 20121304991. The reversal of 20121304944 is 44940312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020459 + ... + 1039989.

Almost surely, 220121304944 is an apocalyptic number.

20121304944 is a gapful number since it is divisible by the number (24) 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 20121304944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28366089216).

20121304944 is an abundant number, since it is smaller than the sum of its proper divisors (36610873488).

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

20121304944 is a wasteful number, since it uses less digits than its factorization.

20121304944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19695 (or 19676 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 20121304944 in words is "twenty billion, one hundred twenty-one million, three hundred four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 169 208 254 312 338 381 507 508 624 676 762 1014 1016 1352 1524 1651 2028 2032 2704 3048 3302 4056 4953 6096 6604 8112 9906 13208 19531 19812 21463 26416 39062 39624 42926 58593 64389 78124 79248 85852 117186 128778 156248 171704 234372 253903 257556 312496 343408 468744 507806 515112 761709 937488 1015612 1030224 1523418 2031224 2480437 3046836 3300739 4062448 4960874 6093672 6601478 7441311 9902217 9921748 12187344 13202956 14882622 19804434 19843496 26405912 29765244 32245681 39608868 39686992 52811824 59530488 64491362 79217736 96737043 119060976 128982724 158435472 193474086 257965448 386948172 419193853 515930896 773896344 838387706 1257581559 1547792688 1676775412 2515163118 3353550824 5030326236 6707101648 10060652472 20121304944