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806801467472 = 2471113179281423
BaseRepresentation
bin10111011110110010001…
…11010110100001010000
32212010111101022002100022
423233121013112201100
5101204312133424342
61414350043243012
7112201202215160
oct13573107264120
92763441262308
10806801467472
112911874389a0
12110444219468
135b1090c0240
142b0997a25a0
1515ec04919d2
hexbbd91d6850

806801467472 has 160 divisors (see below), whose sum is σ = 2110544916480. Its totient is φ = 288536348160.

The previous prime is 806801467471. The next prime is 806801467541. The reversal of 806801467472 is 274764108608.

806801467472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806801467471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2726153 + ... + 3007575.

It is an arithmetic number, because the mean of its divisors is an integer number (13190905728).

Almost surely, 2806801467472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806801467472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055272458240).

806801467472 is an abundant number, since it is smaller than the sum of its proper divisors (1303743449008).

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

806801467472 is a wasteful number, since it uses less digits than its factorization.

806801467472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281641 (or 281635 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 806801467472 in words is "eight hundred six billion, eight hundred one million, four hundred sixty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 179 182 208 286 308 358 364 572 616 716 728 1001 1144 1232 1253 1432 1456 1969 2002 2288 2327 2506 2864 3938 4004 4654 5012 7876 8008 9308 10024 13783 15752 16016 16289 18616 20048 25597 27566 31504 32578 37232 51194 55132 65156 102388 110264 130312 179179 204776 220528 260624 281423 358358 409552 562846 716716 1125692 1433432 1969961 2251384 2866864 3095653 3658499 3939922 4502768 6191306 7316998 7879844 12382612 14633996 15759688 21669571 24765224 25609493 29267992 31519376 40243489 43339142 49530448 50374717 51218986 58535984 80486978 86678284 100749434 102437972 160973956 173356568 201498868 204875944 281704423 321947912 346713136 352623019 402997736 409751888 554121887 563408846 643895824 654871321 705246038 805995472 1108243774 1126817692 1309742642 1410492076 2216487548 2253635384 2619485284 2820984152 3878853209 4432975096 4507270768 4584099247 5238970568 5641968304 7203584531 7757706418 8865950192 9168198494 10477941136 14407169062 15515412836 18336396988 28814338124 31030825672 36672793976 50425091717 57628676248 62061651344 73345587952 100850183434 115257352496 201700366868 403400733736 806801467472