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4822134916096 = 21016324212
BaseRepresentation
bin100011000101011110110…
…1000111000010000000000
3122001222202212120200111001
41012022331220320100000
51113001213014303341
614131131434301344
71005246666331201
oct106127550702000
918058685520431
104822134916096
11159a0684a1453
1265a68b287854
1328c9578443a4
1412956d3255a8
158567c67ad31
hex462bda38400

4822134916096 has 99 divisors (see below), whose sum is σ = 9722154812013. Its totient is φ = 2390583767040.

The previous prime is 4822134916091. The next prime is 4822134916103. The reversal of 4822134916096 is 6906194312284.

The square root of 4822134916096 is 2195936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22880797696 + 4799254118400 = 151264^2 + 2190720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4822134916091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11454001966 + ... + 11454002386.

Almost surely, 24822134916096 is an apocalyptic number.

4822134916096 is the 2195936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4822134916096

4822134916096 is an abundant number, since it is smaller than the sum of its proper divisors (4900019895917).

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

4822134916096 is an frugal number, since it uses more digits than its factorization.

4822134916096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 4822134916096 in words is "four trillion, eight hundred twenty-two billion, one hundred thirty-four million, nine hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 163 256 326 421 512 652 842 1024 1304 1684 2608 3368 5216 6736 10432 13472 20864 26569 26944 41728 53138 53888 68623 83456 106276 107776 137246 166912 177241 212552 215552 274492 354482 425104 431104 548984 708964 850208 1097968 1417928 1700416 2195936 2835856 3400832 4391872 5671712 6801664 8783744 11185549 11343424 13603328 17567488 22371098 22686848 27206656 28890283 35134976 44742196 45373696 57780566 70269952 89484392 90747392 115561132 178968784 181494784 231122264 357937568 462244528 715875136 924489056 1431750272 1848978112 2863500544 3697956224 4709116129 5727001088 7395912448 9418232258 11454002176 14791824896 18836464516 29583649792 37672929032 75345858064 150691716128 301383432256 602766864512 1205533729024 2411067458048 4822134916096