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48992454720 = 2635511241127
BaseRepresentation
bin101101101000001011…
…011000100001000000
311200110100221120100000
4231220023120201000
51300314032022340
634301250200000
73353035664646
oct555013304100
9150410846300
1048992454720
1119860a66400
1295b3583000
13480a0c03a1
14252a9bb196
15141b1c2d30
hexb682d8840

48992454720 has 1008 divisors, whose sum is σ = 198320338944. Its totient is φ = 11496038400.

The previous prime is 48992454697. The next prime is 48992454727. The reversal of 48992454720 is 2745429984.

It is a happy number.

48992454720 is a `hidden beast` number, since 4 + 8 + 9 + 92 + 4 + 547 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48992454727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 385767297 + ... + 385767423.

It is an arithmetic number, because the mean of its divisors is an integer number (196746368).

Almost surely, 248992454720 is an apocalyptic number.

48992454720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48992454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99160169472).

48992454720 is an abundant number, since it is smaller than the sum of its proper divisors (149327884224).

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

48992454720 is a wasteful number, since it uses less digits than its factorization.

48992454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

It can be divided in two parts, 489924 and 54720, that added together give a square (544644 = 7382).

The spelling of 48992454720 in words is "forty-eight billion, nine hundred ninety-two million, four hundred fifty-four thousand, seven hundred twenty".