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65221922896 = 241319291274481
BaseRepresentation
bin111100101111100001…
…111001000001010000
320020100102112222021221
4330233201321001100
52032033303013041
645543524054424
74466155124464
oct745741710120
9206312488257
1065221922896
112572a091019
1210782834414
1361c557a7b0
14322a2024a4
151a6ade42d1
hexf2f879050

65221922896 has 160 divisors (see below), whose sum is σ = 149390438400. Its totient is φ = 27311800320.

The previous prime is 65221922893. The next prime is 65221922933. The reversal of 65221922896 is 69822912256.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65221922893) 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 31 ways as a sum of consecutive naturals, for example, 14552976 + ... + 14557456.

It is an arithmetic number, because the mean of its divisors is an integer number (933690240).

Almost surely, 265221922896 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 65221922896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74695219200).

65221922896 is an abundant number, since it is smaller than the sum of its proper divisors (84168515504).

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

65221922896 is a wasteful number, since it uses less digits than its factorization.

65221922896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4671 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The spelling of 65221922896 in words is "sixty-five billion, two hundred twenty-one million, nine hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 29 38 52 58 76 104 116 127 152 208 232 247 254 304 377 464 494 508 551 754 988 1016 1102 1508 1651 1976 2032 2204 2413 3016 3302 3683 3952 4408 4481 4826 6032 6604 7163 7366 8816 8962 9652 13208 14326 14732 17924 19304 26416 28652 29464 31369 35848 38608 47879 57304 58253 58928 62738 69977 71696 85139 95758 114608 116506 125476 129949 139954 170278 191516 233012 250952 259898 279908 340556 383032 466024 501904 519796 559816 569087 681112 766064 909701 932048 1039592 1106807 1119632 1138174 1362224 1689337 1819402 2079184 2213614 2276348 2469031 3378674 3638804 4427228 4552696 4938062 6757348 7277608 7398131 8854456 9105392 9876124 10812653 13514696 14555216 14796262 16503523 17708912 19752248 21625306 27029392 29592524 32097403 33007046 39504496 43250612 59185048 64194806 66014092 86501224 118370096 128389612 132028184 140564489 173002448 214545799 256779224 264056368 281128978 313566937 429091598 513558448 562257956 627133874 858183196 1124515912 1254267748 1716366392 2249031824 2508535496 3432732784 4076370181 5017070992 8152740362 16305480724 32610961448 65221922896