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2046324672 = 26327272503
BaseRepresentation
bin111100111111000…
…0110111111000000
312021121112001201200
41321332012333000
513142324342142
6535015501200
7101465321100
oct17176067700
95247461650
102046324672
11960108017
12491387800
13267c46902
14155ab7200
15be9b364c
hex79f86fc0

2046324672 has 126 divisors (see below), whose sum is σ = 6823133928. Its totient is φ = 584656128.

The previous prime is 2046324617. The next prime is 2046324673. The reversal of 2046324672 is 2764236402.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-3 number, since 3×20463246723 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046324673) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8028 + ... + 64475.

Almost surely, 22046324672 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 2046324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411566964).

2046324672 is an abundant number, since it is smaller than the sum of its proper divisors (4776809256).

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

2046324672 is a wasteful number, since it uses less digits than its factorization.

2046324672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72535 (or 72515 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2046324672 is about 45236.3202747527. The cubic root of 2046324672 is about 1269.5744687983.

The spelling of 2046324672 in words is "two billion, forty-six million, three hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 72503 145006 217509 290012 435018 507521 580024 652527 870036 1015042 1160048 1305054 1522563 1740072 2030084 2320096 2610108 3045126 3480144 3552647 4060168 4567689 4640192 5220216 6090252 6960288 7105294 8120336 9135378 10440432 10657941 12180504 13920576 14210588 16240672 18270756 20880864 21315882 24361008 28421176 31973823 32481344 36541512 41761728 42631764 48722016 56842352 63947646 73083024 85263528 97444032 113684704 127895292 146166048 170527056 227369408 255790584 292332096 341054112 511581168 682108224 1023162336 2046324672