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7948005121 = 7171911033187
BaseRepresentation
bin1110110011011110…
…01110111100000001
3202111220120111100001
413121233032330001
5112234142130441
63352401200001
7400646633410
oct73157167401
922456514301
107948005121
113409494981
121659930001
13998839a14
14555811477
15317b79731
hex1d9bcef01

7948005121 has 32 divisors (see below), whose sum is σ = 10136309760. Its totient is φ = 6066959616.

The previous prime is 7948005119. The next prime is 7948005151. The reversal of 7948005121 is 1215008497.

It is not a de Polignac number, because 7948005121 - 21 = 7948005119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7948005101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2492290 + ... + 2495476.

It is an arithmetic number, because the mean of its divisors is an integer number (316759680).

Almost surely, 27948005121 is an apocalyptic number.

It is an amenable number.

7948005121 is a deficient number, since it is larger than the sum of its proper divisors (2188304639).

7948005121 is a wasteful number, since it uses less digits than its factorization.

7948005121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 7948005121 is about 89151.5850728410. The cubic root of 7948005121 is about 1995.6576723351.

The spelling of 7948005121 in words is "seven billion, nine hundred forty-eight million, five thousand, one hundred twenty-one".

Divisors: 1 7 17 19 119 133 323 1103 2261 3187 7721 18751 20957 22309 54179 60553 131257 146699 356269 379253 423871 1029401 2493883 3515261 7205807 24606827 59759437 66789959 418316059 467529713 1135429303 7948005121