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31473474048 = 29344767241
BaseRepresentation
bin11101010011111101…
…110001101000000000
310000020102220010210000
4131103331301220000
51003424202132143
622243025440000
72162641054362
oct352375615000
9100212803700
1031473474048
1112390a56985
1261244a0000
132c7772a733
141748004d32
15c43183bd3
hex753f71a00

31473474048 has 400 divisors, whose sum is σ = 97774706304. Its totient is φ = 10072719360.

The previous prime is 31473474041. The next prime is 31473474079. The reversal of 31473474048 is 84047437413.

It is a junction number, because it is equal to n+sod(n) for n = 31473473994 and 31473474012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31473474041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130595208 + ... + 130595448.

Almost surely, 231473474048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31473474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48887353152).

31473474048 is an abundant number, since it is smaller than the sum of its proper divisors (66301232256).

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

31473474048 is an equidigital number, since it uses as much as digits as its factorization.

31473474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

It can be divided in two parts, 31473 and 474048, that added together give a square (505521 = 7112).

The spelling of 31473474048 in words is "thirty-one billion, four hundred seventy-three million, four hundred seventy-four thousand, forty-eight".