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48888837700 = 22525312377457
BaseRepresentation
bin101101100010000000…
…000111011001000100
311200012010222021111121
4231202000013121010
51300111020301300
634243105243324
73350340156343
oct554200073104
9150163867447
1048888837700
11198085243aa
129584933544
1347c17b1441
14251ad27b5a
15141205681a
hexb62007644

48888837700 has 72 divisors (see below), whose sum is σ = 108192340872. Its totient is φ = 19168481280.

The previous prime is 48888837689. The next prime is 48888837719. The reversal of 48888837700 is 773888884.

It can be written as a sum of positive squares in 12 ways, for example, as 7008033796 + 41880803904 = 83714^2 + 204648^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6552372 + ... + 6559828.

It is an arithmetic number, because the mean of its divisors is an integer number (1502671401).

Almost surely, 248888837700 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 48888837700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54096170436).

48888837700 is an abundant number, since it is smaller than the sum of its proper divisors (59303503172).

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

48888837700 is a wasteful number, since it uses less digits than its factorization.

48888837700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 61.

The spelling of 48888837700 in words is "forty-eight billion, eight hundred eighty-eight million, eight hundred thirty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1237 1325 2474 2650 4948 5300 6185 7457 12370 14914 24740 29828 30925 37285 61850 65561 74570 123700 131122 149140 186425 262244 327805 372850 395221 655610 745700 790442 1311220 1580884 1639025 1976105 3278050 3952210 6556100 7904420 9224309 9880525 18448618 19761050 36897236 39522100 46121545 92243090 184486180 230607725 461215450 488888377 922430900 977776754 1955553508 2444441885 4888883770 9777767540 12222209425 24444418850 48888837700