Search a number
-
+
48690602706816 = 273474183197147
BaseRepresentation
bin10110001001000101010100…
…00101000000011110000000
320101101202221211010212010000
423010202222011000132000
522340221323243104231
6251320053141040000
713153531345156260
oct1304425205003600
9211352854125100
1048690602706816
11145726289594a4
1255646943b6000
132122672774035
14c048cdd897a0
1559684ac316e6
hex2c48aa140780

48690602706816 has 640 divisors, whose sum is σ = 171686635464960. Its totient is φ = 13408703815680.

The previous prime is 48690602706799. The next prime is 48690602706829. The reversal of 48690602706816 is 61860720609684.

48690602706816 is a `hidden beast` number, since 4 + 8 + 6 + 9 + 0 + 602 + 7 + 0 + 6 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 246877555 + ... + 247074701.

It is an arithmetic number, because the mean of its divisors is an integer number (268260367914).

Almost surely, 248690602706816 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 48690602706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85843317732480).

48690602706816 is an abundant number, since it is smaller than the sum of its proper divisors (122996032758144).

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

48690602706816 is a wasteful number, since it uses less digits than its factorization.

48690602706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197304 (or 197283 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 48690602706816 in words is "forty-eight trillion, six hundred ninety billion, six hundred two million, seven hundred six thousand, eight hundred sixteen".