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2950123680 = 253457311049
BaseRepresentation
bin1010111111010111…
…0101000010100000
321121121011210220000
42233311311002200
522020212424210
61204423220000
7133051431450
oct25765650240
97547153800
102950123680
1112842a4649
126a3ba7600
1338027051a
141ddb41d60
15123ee0ac0
hexafd750a0

2950123680 has 480 divisors, whose sum is σ = 12294374400. Its totient is φ = 651939840.

The previous prime is 2950123667. The next prime is 2950123691. The reversal of 2950123680 is 863210592.

2950123680 is a `hidden beast` number, since 295 + 0 + 1 + 2 + 368 + 0 = 666.

2950123680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2811796 + ... + 2812844.

It is an arithmetic number, because the mean of its divisors is an integer number (25613280).

Almost surely, 22950123680 is an apocalyptic number.

2950123680 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 2950123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147187200).

2950123680 is an abundant number, since it is smaller than the sum of its proper divisors (9344250720).

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

2950123680 is a wasteful number, since it uses less digits than its factorization.

2950123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2950123680 is about 54315.0410107550. The cubic root of 2950123680 is about 1434.2121847748.

The spelling of 2950123680 in words is "two billion, nine hundred fifty million, one hundred twenty-three thousand, six hundred eighty".