Search a number
-
+
21029372160 = 283531117609
BaseRepresentation
bin10011100101011100…
…101100000100000000
32000021120110210101120
4103211130230010000
5321032004402120
613354420232240
71343061466626
oct234534540400
960246423346
1021029372160
118a11594615
1240aa83b680
131ca1a2a0a4
141036cbb516
15831300140
hex4e572c100

21029372160 has 144 divisors (see below), whose sum is σ = 67382340480. Its totient is φ = 5589483520.

The previous prime is 21029372149. The next prime is 21029372201. The reversal of 21029372160 is 6127392012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185436 + ... + 1203044.

It is an arithmetic number, because the mean of its divisors is an integer number (467932920).

Almost surely, 221029372160 is an apocalyptic number.

21029372160 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 21029372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33691170240).

21029372160 is an abundant number, since it is smaller than the sum of its proper divisors (46352968320).

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

21029372160 is a wasteful number, since it uses less digits than its factorization.

21029372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17944 (or 17930 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 21029372160 in words is "twenty-one billion, twenty-nine million, three hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 311 320 384 480 622 640 768 933 960 1244 1280 1555 1866 1920 2488 3110 3732 3840 4665 4976 6220 7464 9330 9952 12440 14928 17609 18660 19904 24880 29856 35218 37320 39808 49760 52827 59712 70436 74640 79616 88045 99520 105654 119424 140872 149280 176090 199040 211308 238848 264135 281744 298560 352180 398080 422616 528270 563488 597120 704360 845232 1056540 1126976 1194240 1408720 1690464 2113080 2253952 2817440 3380928 4226160 4507904 5476399 5634880 6761856 8452320 10952798 11269760 13523712 16429197 16904640 21905596 22539520 27381995 32858394 33809280 43811192 54763990 65716788 67618560 82145985 87622384 109527980 131433576 164291970 175244768 219055960 262867152 328583940 350489536 438111920 525734304 657167880 700979072 876223840 1051468608 1314335760 1401958144 1752447680 2102937216 2628671520 3504895360 4205874432 5257343040 7009790720 10514686080 21029372160