Search a number
-
+
73810045808640 = 2123654943767
BaseRepresentation
bin10000110010000100111101…
…100011111011000000000000
3100200100011121222222202000000
4100302010331203323000000
534133300433211334030
6420551511132000000
721355412512454031
oct2062047543730000
9320304558882000
1073810045808640
11215777346a9289
128340a6b000000
13322534681c12b
1414325d4d6ca88
1587ee7e437860
hex43213d8fb000

73810045808640 has 364 divisors, whose sum is σ = 265562299385904. Its totient is φ = 19682674900992.

The previous prime is 73810045808599. The next prime is 73810045808699. The reversal of 73810045808640 is 4680854001837.

73810045808640 is a `hidden beast` number, since 7 + 3 + 8 + 10 + 0 + 4 + 580 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12458037 + ... + 17401803.

Almost surely, 273810045808640 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 73810045808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132781149692952).

73810045808640 is an abundant number, since it is smaller than the sum of its proper divisors (191752253577264).

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

73810045808640 is an frugal number, since it uses more digits than its factorization.

73810045808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943814 (or 4943777 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 73810045808640 in words is "seventy-three trillion, eight hundred ten billion, forty-five million, eight hundred eight thousand, six hundred forty".