Search a number
-
+
61215608257760 = 255112314591036493
BaseRepresentation
bin11011110101100110111101…
…00101011011110011100000
322000202011011222210021102102
431322303132211123303200
531010424031203222020
6334110021234105532
715615452560562225
oct1572633645336340
9260664158707372
1061215608257760
1118561436a79280
126a47bb341b2a8
1328207b7a0c678
141118bcbb7b94c
15712559ba2475
hex37acde95bce0

61215608257760 has 192 divisors, whose sum is σ = 164741848911360. Its totient is φ = 21277771130880.

The previous prime is 61215608257723. The next prime is 61215608257823. The reversal of 61215608257760 is 6775280651216.

It is a junction number, because it is equal to n+sod(n) for n = 61215608257696 and 61215608257705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58542074 + ... + 59578566.

It is an arithmetic number, because the mean of its divisors is an integer number (858030463080).

Almost surely, 261215608257760 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 61215608257760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82370924455680).

61215608257760 is an abundant number, since it is smaller than the sum of its proper divisors (103526240653600).

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

61215608257760 is a wasteful number, since it uses less digits than its factorization.

61215608257760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038001 (or 1037993 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 61215608257760 in words is "sixty-one trillion, two hundred fifteen billion, six hundred eight million, two hundred fifty-seven thousand, seven hundred sixty".