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61360354440 = 23345711419587
BaseRepresentation
bin111001001001010111…
…001011010010001000
312212101022022222020000
4321021113023102020
52001131222320230
644104421203000
74301365256430
oct711127132210
9185338288200
1061360354440
1124028358530
12ba85560460
135a2b537548
142d814052c0
1518e1db5b60
hexe495cb488

61360354440 has 640 divisors, whose sum is σ = 258181862400. Its totient is φ = 12698104320.

The previous prime is 61360354417. The next prime is 61360354453. The reversal of 61360354440 is 4445306316.

61360354440 is a `hidden beast` number, since 6 + 1 + 3 + 603 + 5 + 4 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61360354395 and 61360354404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 104531827 + ... + 104532413.

It is an arithmetic number, because the mean of its divisors is an integer number (403409160).

Almost surely, 261360354440 is an apocalyptic number.

61360354440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61360354440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129090931200).

61360354440 is an abundant number, since it is smaller than the sum of its proper divisors (196821507960).

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

61360354440 is a wasteful number, since it uses less digits than its factorization.

61360354440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 61360354440 in words is "sixty-one billion, three hundred sixty million, three hundred fifty-four thousand, four hundred forty".