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48470091552 = 2534172334721
BaseRepresentation
bin101101001001000010…
…101110011100100000
311122002222000202210000
4231021002232130200
51243231320412202
634133350140000
73334063660161
oct551102563440
9148088022700
1048470091552
1119613115203
129488651600
134755b0835c
1424bb483768
1513da3dd91c
hexb490ae720

48470091552 has 240 divisors, whose sum is σ = 151614334872. Its totient is φ = 15137832960.

The previous prime is 48470091547. The next prime is 48470091559. The reversal of 48470091552 is 25519007484.

48470091552 is a `hidden beast` number, since 4 + 8 + 4 + 7 + 0 + 0 + 91 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41679672336 + 6790419216 = 204156^2 + 82404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48470091498 and 48470091507.

It is not an unprimeable number, because it can be changed into a prime (48470091559) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10264552 + ... + 10269272.

Almost surely, 248470091552 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 48470091552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75807167436).

48470091552 is an abundant number, since it is smaller than the sum of its proper divisors (103144243320).

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

48470091552 is a wasteful number, since it uses less digits than its factorization.

48470091552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 48470091552 in words is "forty-eight billion, four hundred seventy million, ninety-one thousand, five hundred fifty-two".