Search a number
-
+
203070822085264 = 2472101250392
BaseRepresentation
bin101110001011000100011100…
…001101101111001010010000
3222122000101021202011000212111
4232023010130031233022100
5203104103020423212024
61555521240420035104
760526245164340400
oct5613043415571220
9878011252130774
10203070822085264
1159782941026a01
121a93859b532a94
13894065b64c8c3
1438209747aa800
15187251117ea94
hexb8b11c36f290

203070822085264 has 135 divisors (see below), whose sum is σ = 462354577025961. Its totient is φ = 86151565315200.

The previous prime is 203070822085211. The next prime is 203070822085277. The reversal of 203070822085264 is 462580228070302.

The square root of 203070822085264 is 14250292.

It is a perfect power (a square), and thus also a powerful number.

203070822085264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 195108041099664 + 7962780985600 = 13968108^2 + 2821840^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40299823257 + ... + 40299828295.

Almost surely, 2203070822085264 is an apocalyptic number.

203070822085264 is the 14250292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203070822085264

203070822085264 is an abundant number, since it is smaller than the sum of its proper divisors (259283754940697).

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

203070822085264 is an frugal number, since it uses more digits than its factorization.

203070822085264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10302 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

203070822085264 divided by its sum of digits (49) gives a square (4144302491536 = 20357562).

The spelling of 203070822085264 in words is "two hundred three trillion, seventy billion, eight hundred twenty-two million, eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 392 404 707 784 808 1414 1616 2828 4949 5039 5656 9898 10078 10201 11312 19796 20156 20402 35273 39592 40312 40804 70546 71407 79184 80624 81608 141092 142814 163216 246911 282184 285628 493822 499849 508939 564368 571256 987644 999698 1017878 1142512 1975288 1999396 2035756 3562573 3950576 3998792 4071512 7125146 7997584 8143024 14250292 24938011 25391521 28500584 49876022 50783042 51402839 57001168 99752044 101566084 102805678 177740647 199504088 203132168 205611356 355481294 359819873 399008176 406264336 411222712 710962588 719639746 822445424 1244184529 1421925176 1439279492 2488369058 2518739111 2564543621 2843850352 2878558984 4976738116 5037478222 5129087242 5757117968 9953476232 10074956444 10258174484 17951805347 19906952464 20149912888 20516348968 35903610694 40299825776 41032697936 71807221388 125662637429 143614442776 251325274858 259018905721 287228885552 502650549716 518037811442 1005301099432 1036075622884 1813132340047 2010602198864 2072151245768 3626264680094 4144302491536 7252529360188 12691926380329 14505058720376 25383852760658 29010117440752 50767705521316 101535411042632 203070822085264