Search a number
-
+
700164488064 = 27310127765173
BaseRepresentation
bin10100011000001010000…
…11100011101110000000
32110221020200000020221110
422030011003203232000
542432414102104224
61253352350523320
7101404504644366
oct12140503435600
92427220006843
10700164488064
1124aa35666a48
12b3843806540
135104356c462
1425c610c1636
151332d749929
hexa3050e3b80

700164488064 has 128 divisors (see below), whose sum is σ = 1885035422880. Its totient is φ = 230239641600.

The previous prime is 700164487993. The next prime is 700164488071. The reversal of 700164488064 is 460884461007.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 10710582 + ... + 10775754.

Almost surely, 2700164488064 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 700164488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942517711440).

700164488064 is an abundant number, since it is smaller than the sum of its proper divisors (1184870934816).

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

700164488064 is a wasteful number, since it uses less digits than its factorization.

700164488064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65568 (or 65556 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 700164488064 in words is "seven hundred billion, one hundred sixty-four million, four hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 277 303 384 404 554 606 808 831 1108 1212 1616 1662 2216 2424 3232 3324 4432 4848 6464 6648 8864 9696 12928 13296 17728 19392 26592 27977 35456 38784 53184 55954 65173 83931 106368 111908 130346 167862 195519 223816 260692 335724 391038 447632 521384 671448 782076 895264 1042768 1342896 1564152 1790528 2085536 2685792 3128304 3581056 4171072 5371584 6256608 6582473 8342144 10743168 12513216 13164946 18052921 19747419 25026432 26329892 36105842 39494838 52659784 54158763 72211684 78989676 105319568 108317526 144423368 157979352 210639136 216635052 288846736 315958704 421278272 433270104 577693472 631917408 842556544 866540208 1155386944 1263834816 1733080416 1823345021 2310773888 2527669632 3466160832 3646690042 5470035063 6932321664 7293380084 10940070126 14586760168 21880140252 29173520336 43760280504 58347040672 87520561008 116694081344 175041122016 233388162688 350082244032 700164488064