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4672921130352 = 2433617315116087
BaseRepresentation
bin100001111111111111111…
…0011011101010101110000
3121112201121220111222211000
41003333333303131111300
51103030120302132402
613534413233122000
7661415225145606
oct103777763352560
917481556458730
104672921130352
111541858178752
126357879b9300
1327b86812c087
14122256151876
1581847aedc1c
hex43fffcdd570

4672921130352 has 320 divisors, whose sum is σ = 13912037509120. Its totient is φ = 1501016832000.

The previous prime is 4672921130341. The next prime is 4672921130359. The reversal of 4672921130352 is 2530311292764.

It is a happy number.

4672921130352 is a `hidden beast` number, since 4 + 6 + 7 + 292 + 1 + 1 + 3 + 0 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4672921130298 and 4672921130307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672921130359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290470053 + ... + 290486139.

It is an arithmetic number, because the mean of its divisors is an integer number (43475117216).

Almost surely, 24672921130352 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 4672921130352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956018754560).

4672921130352 is an abundant number, since it is smaller than the sum of its proper divisors (9239116378768).

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

4672921130352 is a wasteful number, since it uses less digits than its factorization.

4672921130352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16389 (or 16377 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 4672921130352 in words is "four trillion, six hundred seventy-two billion, nine hundred twenty-one million, one hundred thirty thousand, three hundred fifty-two".