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61408804824 = 23327112012677
BaseRepresentation
bin111001001100001111…
…111111111111011000
312212111200111111122200
4321030033333333120
52001231123223244
644113311450200
74302524141253
oct711417777730
9185450444580
1061408804824
112405273aa74
12ba99826960
135a3859c503
142d87a1809a
1518e6286669
hexe4c3fffd8

61408804824 has 48 divisors (see below), whose sum is σ = 168657999120. Its totient is φ = 20181295680.

The previous prime is 61408804823. The next prime is 61408804939. The reversal of 61408804824 is 42840880416.

61408804824 is a `hidden beast` number, since 614 + 0 + 8 + 8 + 0 + 4 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61408804824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61408804823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6001227 + ... + 6011450.

It is an arithmetic number, because the mean of its divisors is an integer number (3513708315).

Almost surely, 261408804824 is an apocalyptic number.

It is an amenable number.

61408804824 is an abundant number, since it is smaller than the sum of its proper divisors (107249194296).

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

61408804824 is a wasteful number, since it uses less digits than its factorization.

61408804824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012760 (or 12012753 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 61408804824 in words is "sixty-one billion, four hundred eight million, eight hundred four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 12012677 24025354 36038031 48050708 72076062 96101416 108114093 144152124 216228186 288304248 432456372 852900067 864912744 1705800134 2558700201 3411600268 5117400402 6823200536 7676100603 10234800804 15352201206 20469601608 30704402412 61408804824