Search a number
-
+
2984104696320 = 2936511612383
BaseRepresentation
bin101011011011001010100…
…000000001101000000000
3101120021111101110012000000
4223123022200001220000
5342342421300240240
610202513452000000
7425410616255616
oct53331240015000
911507441405000
102984104696320
11a5060833a870
1240240a760000
13188527672c77
14a4607c196b6
155295402e430
hex2b6ca801a00

2984104696320 has 1120 divisors, whose sum is σ = 11899432030464. Its totient is φ = 711261388800.

The previous prime is 2984104696297. The next prime is 2984104696333. The reversal of 2984104696320 is 236964014892.

2984104696320 is a `hidden beast` number, since 2 + 98 + 4 + 10 + 469 + 63 + 20 = 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 111 ways as a sum of consecutive naturals, for example, 1252245849 + ... + 1252248231.

Almost surely, 22984104696320 is an apocalyptic number.

2984104696320 is a gapful number since it is divisible by the number (20) 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 2984104696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949716015232).

2984104696320 is an abundant number, since it is smaller than the sum of its proper divisors (8915327334144).

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

2984104696320 is an equidigital number, since it uses as much as digits as its factorization.

2984104696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2984104696320 in words is "two trillion, nine hundred eighty-four billion, one hundred four million, six hundred ninety-six thousand, three hundred twenty".