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4153497984 = 273226313709
BaseRepresentation
bin1111011110010001…
…0101100110000000
3101201110112120002200
43313210111212000
532001243413414
61524051513200
7204633102366
oct36744254600
911643476080
104153497984
1118415a5569
1297abb8800
1351267681c
142b58ad636
15194996109
hexf7915980

4153497984 has 96 divisors (see below), whose sum is σ = 11998443600. Its totient is φ = 1379134464.

The previous prime is 4153497923. The next prime is 4153498003. The reversal of 4153497984 is 4897943514.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4153497984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296122 + ... + 309830.

Almost surely, 24153497984 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 4153497984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999221800).

4153497984 is an abundant number, since it is smaller than the sum of its proper divisors (7844945616).

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

4153497984 is a wasteful number, since it uses less digits than its factorization.

4153497984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13992 (or 13977 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 4153497984 is about 64447.6375362201. The cubic root of 4153497984 is about 1607.4519555084.

The spelling of 4153497984 in words is "four billion, one hundred fifty-three million, four hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 263 288 384 526 576 789 1052 1152 1578 2104 2367 3156 4208 4734 6312 8416 9468 12624 13709 16832 18936 25248 27418 33664 37872 41127 50496 54836 75744 82254 100992 109672 123381 151488 164508 219344 246762 302976 329016 438688 493524 658032 877376 987048 1316064 1754752 1974096 2632128 3605467 3948192 5264256 7210934 7896384 10816401 14421868 15792768 21632802 28843736 32449203 43265604 57687472 64898406 86531208 115374944 129796812 173062416 230749888 259593624 346124832 461499776 519187248 692249664 1038374496 1384499328 2076748992 4153497984