Search a number
-
+
45870710652 = 2232132310142193
BaseRepresentation
bin101010101110000110…
…110111111101111100
311101101210211112112100
4222232012313331330
51222420400220102
633023412305100
73212501415204
oct525606677574
9141353745470
1045870710652
11184a9902928
128a82012190
134430421150
142312163404
1512d70d1a1c
hexaae1b7f7c

45870710652 has 144 divisors (see below), whose sum is σ = 131592621888. Its totient is φ = 13366425600.

The previous prime is 45870710621. The next prime is 45870710701. The reversal of 45870710652 is 25601707854.

45870710652 is a `hidden beast` number, since 4 + 587 + 0 + 7 + 1 + 0 + 65 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45870710598 and 45870710607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066068 + ... + 1108260.

It is an arithmetic number, because the mean of its divisors is an integer number (913837652).

Almost surely, 245870710652 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 45870710652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65796310944).

45870710652 is an abundant number, since it is smaller than the sum of its proper divisors (85721911236).

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

45870710652 is a wasteful number, since it uses less digits than its factorization.

45870710652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42340 (or 42335 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 45870710652 in words is "forty-five billion, eight hundred seventy million, seven hundred ten thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 101 117 138 156 202 207 234 276 299 303 404 414 468 598 606 828 897 909 1196 1212 1313 1794 1818 2323 2626 2691 3588 3636 3939 4646 5252 5382 6969 7878 9292 10764 11817 13938 15756 20907 23634 27876 30199 41814 42193 47268 60398 83628 84386 90597 120796 126579 168772 181194 253158 271791 362388 379737 506316 543582 548509 759474 970439 1087164 1097018 1518948 1645527 1940878 2194036 2911317 3291054 3881756 4261493 4936581 5822634 6582108 8522986 8733951 9873162 11645268 12615707 12784479 17045972 17467902 19746324 25231414 25568958 34935804 37847121 38353437 50462828 51137916 55399409 75694242 76706874 98014339 110798818 113541363 151388484 153413748 166198227 196028678 221597636 227082726 294043017 332396454 392057356 454165452 498594681 588086034 664792908 882129051 997189362 1176172068 1274186407 1764258102 1994378724 2548372814 3528516204 3822559221 5096745628 7645118442 11467677663 15290236884 22935355326 45870710652