Search a number
-
+
64765022448 = 24372191449271
BaseRepresentation
bin111100010100010010…
…111101000011110000
320012011120211000201010
4330110102331003300
52030114321204243
645430323110520
74451636415300
oct742422750360
9205146730633
1064765022448
1125515191a45
1210675812440
136151a05cb9
1431c5669600
151a40c41433
hexf144bd0f0

64765022448 has 120 divisors (see below), whose sum is σ = 204869089920. Its totient is φ = 17530369920.

The previous prime is 64765022389. The next prime is 64765022449. The reversal of 64765022448 is 84422056746.

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

It is a junction number, because it is equal to n+sod(n) for n = 64765022397 and 64765022406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64765022449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679948 + ... + 769323.

It is an arithmetic number, because the mean of its divisors is an integer number (1707242416).

Almost surely, 264765022448 is an apocalyptic number.

It is an amenable number.

64765022448 is an abundant number, since it is smaller than the sum of its proper divisors (140104067472).

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

64765022448 is a wasteful number, since it uses less digits than its factorization.

64765022448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449315 (or 1449302 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 64765022448 in words is "sixty-four billion, seven hundred sixty-five million, twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 6384 7448 11172 14896 22344 44688 1449271 2898542 4347813 5797084 8695626 10144897 11594168 17391252 20289794 23188336 27536149 30434691 34782504 40579588 55072298 60869382 69565008 71014279 81159176 82608447 110144596 121738764 142028558 162318352 165216894 192753043 213042837 220289192 243477528 284057116 330433788 385506086 426085674 440578384 486955056 568114232 578259129 660867576 771012172 852171348 1136228464 1156518258 1321735152 1349271301 1542024344 1704342696 2313036516 2698542602 3084048688 3408685392 4047813903 4626073032 5397085204 8095627806 9252146064 10794170408 16191255612 21588340816 32382511224 64765022448