Search a number
-
+
707021201664 = 2833149686503
BaseRepresentation
bin10100100100111011011…
…11110110000100000000
32111120221112010101202000
422102131233312010000
543040434411423124
61300445010024000
7102036434025141
oct12223557660400
92446845111660
10707021201664
112529340443a8
12b5037b78000
1351896c8723b
14263119bdac8
15135d06ad6c9
hexa49dbf6100

707021201664 has 144 divisors (see below), whose sum is σ = 2104821264000. Its totient is φ = 234091689984.

The previous prime is 707021201659. The next prime is 707021201671. The reversal of 707021201664 is 466102120707.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686637 + ... + 1373139.

Almost surely, 2707021201664 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 707021201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052410632000).

707021201664 is an abundant number, since it is smaller than the sum of its proper divisors (1397800062336).

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

707021201664 is a wasteful number, since it uses less digits than its factorization.

707021201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686677 (or 686657 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 707021201664 in words is "seven hundred seven billion, twenty-one million, two hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 149 192 216 256 288 298 384 432 447 576 596 768 864 894 1152 1192 1341 1728 1788 2304 2384 2682 3456 3576 4023 4768 5364 6912 7152 8046 9536 10728 14304 16092 19072 21456 28608 32184 38144 42912 57216 64368 85824 114432 128736 171648 257472 343296 514944 686503 1029888 1373006 2059509 2746012 4119018 5492024 6178527 8238036 10984048 12357054 16476072 18535581 21968096 24714108 32952144 37071162 43936192 49428216 65904288 74142324 87872384 98856432 102288947 131808576 148284648 175744768 197712864 204577894 263617152 296569296 306866841 395425728 409155788 527234304 593138592 613733682 790851456 818311576 920600523 1186277184 1227467364 1581702912 1636623152 1841201046 2372554368 2454934728 2761801569 3273246304 3682402092 4745108736 4909869456 5523603138 6546492608 7364804184 9819738912 11047206276 13092985216 14729608368 19639477824 22094412552 26185970432 29459216736 39278955648 44188825104 58918433472 78557911296 88377650208 117836866944 176755300416 235673733888 353510600832 707021201664