Search a number
-
+
70083543456 = 25321033596581
BaseRepresentation
bin100000101000101001…
…1100000000110100000
320200220020112212221200
41001101103200012200
52122012341342311
652110153321200
75030510201403
oct1012123400640
9220806485850
1070083543456
11277a4373553
12116baa06200
1367bb848854
14356bb61d3a
151c52b14556
hex10514e01a0

70083543456 has 144 divisors (see below), whose sum is σ = 201826235520. Its totient is φ = 23066426880.

The previous prime is 70083543449. The next prime is 70083543457. The reversal of 70083543456 is 65434538007.

70083543456 is a `hidden beast` number, since 70 + 0 + 83 + 54 + 3 + 456 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (70083543457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10646086 + ... + 10652666.

It is an arithmetic number, because the mean of its divisors is an integer number (1401571080).

Almost surely, 270083543456 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 70083543456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100913117760).

70083543456 is an abundant number, since it is smaller than the sum of its proper divisors (131742692064).

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

70083543456 is a wasteful number, since it uses less digits than its factorization.

70083543456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 70083543456 in words is "seventy billion, eighty-three million, five hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 359 412 618 718 824 927 1077 1236 1436 1648 1854 2154 2472 2872 3231 3296 3708 4308 4944 5744 6462 6581 7416 8616 9888 11488 12924 13162 14832 17232 19743 25848 26324 29664 34464 36977 39486 51696 52648 59229 73954 78972 103392 105296 110931 118458 147908 157944 210592 221862 236916 295816 315888 332793 443724 473832 591632 631776 665586 677843 887448 947664 1183264 1331172 1355686 1774896 1895328 2033529 2362579 2662344 2711372 3549792 4067058 4725158 5324688 5422744 6100587 7087737 8134116 9450316 10649376 10845488 12201174 14175474 16268232 18900632 21263211 21690976 24402348 28350948 32536464 37801264 42526422 48804696 56701896 65072928 75602528 85052844 97609392 113403792 170105688 195218784 226807584 243345637 340211376 486691274 680422752 730036911 973382548 1460073822 1946765096 2190110733 2920147644 3893530192 4380221466 5840295288 7787060384 8760442932 11680590576 17520885864 23361181152 35041771728 70083543456