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488424131496 = 23337323031833
BaseRepresentation
bin1110001101110000101…
…10001100101110101000
31201200201010011122221000
413012320112030232220
531000243034201441
61012213504115000
750200414421520
oct7067026145650
91650633148830
10488424131496
11179159764124
127a7b0305a60
133709ab26642
14198d5a8c680
15ca897412b6
hex71b858cba8

488424131496 has 64 divisors (see below), whose sum is σ = 1550552803200. Its totient is φ = 139549751424.

The previous prime is 488424131491. The next prime is 488424131567. The reversal of 488424131496 is 694131424884.

488424131496 is a `hidden beast` number, since 4 + 8 + 84 + 2 + 41 + 31 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (488424131491) 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 15 ways as a sum of consecutive naturals, for example, 161514405 + ... + 161517428.

It is an arithmetic number, because the mean of its divisors is an integer number (24227387550).

Almost surely, 2488424131496 is an apocalyptic number.

It is an amenable number.

488424131496 is an abundant number, since it is smaller than the sum of its proper divisors (1062128671704).

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

488424131496 is a wasteful number, since it uses less digits than its factorization.

488424131496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323031855 (or 323031845 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 488424131496 in words is "four hundred eighty-eight billion, four hundred twenty-four million, one hundred thirty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 323031833 646063666 969095499 1292127332 1938190998 2261222831 2584254664 2907286497 3876381996 4522445662 5814572994 6783668493 7752763992 8721859491 9044891324 11629145988 13567336986 17443718982 18089782648 20351005479 23258291976 27134673972 34887437964 40702010958 54269347944 61053016437 69774875928 81404021916 122106032874 162808043832 244212065748 488424131496