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48300226056 = 23321739460969
BaseRepresentation
bin101100111110111010…
…101111011000001000
311121200010101201010100
4230332322233120020
51242404324213211
634104441245400
73326632101405
oct547672573010
9147603351110
1048300226056
11195362447a5
12943b793860
134729872324
1424a2aa72ac
1513ca538156
hexb3eeaf608

48300226056 has 48 divisors (see below), whose sum is σ = 138508004700. Its totient is φ = 15153011712.

The previous prime is 48300226003. The next prime is 48300226061. The reversal of 48300226056 is 65062200384.

48300226056 is a `hidden beast` number, since 48 + 3 + 0 + 0 + 2 + 2 + 605 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47465593956 + 834632100 = 217866^2 + 28890^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 48300226056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19729261 + ... + 19731708.

Almost surely, 248300226056 is an apocalyptic number.

It is an amenable number.

48300226056 is an abundant number, since it is smaller than the sum of its proper divisors (90207778644).

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

48300226056 is a wasteful number, since it uses less digits than its factorization.

48300226056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39460998 (or 39460991 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 48300226056 in words is "forty-eight billion, three hundred million, two hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 39460969 78921938 118382907 157843876 236765814 315687752 355148721 473531628 670836473 710297442 947063256 1341672946 1420594884 2012509419 2683345892 2841189768 4025018838 5366691784 6037528257 8050037676 12075056514 16100075352 24150113028 48300226056