Search a number
-
+
69031797120 = 273251121319401
BaseRepresentation
bin100000001001010011…
…1011010000110000000
320121011221111122012200
41000102213122012000
52112334120001440
651413542553200
74662446410506
oct1002247320600
9217157448180
1069031797120
1127304716a00
1211466738800
136681991440
1434ac1c4676
151be0610c30
hex10129da180

69031797120 has 1152 divisors, whose sum is σ = 297762847200. Its totient is φ = 14598144000.

The previous prime is 69031797097. The next prime is 69031797137. The reversal of 69031797120 is 2179713096.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172148920 + ... + 172149320.

Almost surely, 269031797120 is an apocalyptic number.

69031797120 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 69031797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148881423600).

69031797120 is an abundant number, since it is smaller than the sum of its proper divisors (228731050080).

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

69031797120 is a wasteful number, since it uses less digits than its factorization.

69031797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 69031797120 in words is "sixty-nine billion, thirty-one million, seven hundred ninety-seven thousand, one hundred twenty".