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64428653583 = 3371743795903
BaseRepresentation
bin111100000000001111…
…110011110000001111
320011022010212201101000
4330000033303300033
52023422213403313
645333105351343
74440413343120
oct740017636017
9204263781330
1064428653583
1125362328048
12105a1038553
1360ca113378
143192b0a047
151a2144b673
hexf003f3c0f

64428653583 has 128 divisors (see below), whose sum is σ = 119704780800. Its totient is φ = 33410797056.

The previous prime is 64428653581. The next prime is 64428653593. The reversal of 64428653583 is 38535682446.

64428653583 = 23 + 33 + ... + 7123.

64428653583 is a `hidden beast` number, since 6 + 4 + 4 + 2 + 8 + 6 + 53 + 583 = 666.

64428653583 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 2538282-1.

It is not a de Polignac number, because 64428653583 - 21 = 64428653581 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64428653581) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10911610 + ... + 10917512.

It is an arithmetic number, because the mean of its divisors is an integer number (935193600).

Almost surely, 264428653583 is an apocalyptic number.

64428653583 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

64428653583 is a deficient number, since it is larger than the sum of its proper divisors (55276127217).

64428653583 is a wasteful number, since it uses less digits than its factorization.

64428653583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6052 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 64428653583 in words is "sixty-four billion, four hundred twenty-eight million, six hundred fifty-three thousand, five hundred eighty-three".

Divisors: 1 3 7 9 17 21 27 43 51 63 79 119 129 153 189 237 301 357 387 459 553 711 731 903 1071 1161 1343 1659 2133 2193 2709 3213 3397 4029 4977 5117 5903 6579 8127 9401 10191 12087 14931 15351 17709 19737 23779 28203 30573 36261 41321 46053 53127 57749 71337 84609 91719 100351 123963 138159 159381 173247 214011 253827 253829 301053 371889 404243 466337 519741 642033 702457 761487 903159 1115667 1212729 1399011 1559223 1776803 2107371 2284461 2709477 3264359 3638187 4197033 4315093 5330409 6322113 6853383 7927729 9793077 10914561 12591099 12945279 15991227 18966339 20052491 23783187 29379231 30205651 38835837 47973681 55494103 60157473 71349561 88137693 90616953 116507511 140367437 166482309 180472419 214048683 271850859 340892347 421102311 499446927 541417257 815552577 1022677041 1263306933 1498340781 2386246429 3068031123 3789920799 7158739287 9204093369 21476217861 64428653583