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48734237088 = 253523572659
BaseRepresentation
bin101101011000110010…
…010111000110100000
311122210101001202100000
4231120302113012200
51244301431041323
634215503500000
73343452115605
oct553062270640
9148711052300
1048734237088
111973922a6a9
129540bb7600
1347987614a4
1425045a26ac
1514036b8e43
hexb58c971a0

48734237088 has 144 divisors (see below), whose sum is σ = 143835924960. Its totient is φ = 16231746816.

The previous prime is 48734237077. The next prime is 48734237107. The reversal of 48734237088 is 88073243784.

48734237088 is a `hidden beast` number, since 4 + 8 + 73 + 423 + 70 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18326703 + ... + 18329361.

It is an arithmetic number, because the mean of its divisors is an integer number (998860590).

Almost surely, 248734237088 is an apocalyptic number.

48734237088 is a gapful number since it is divisible by the number (48) 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 48734237088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71917962480).

48734237088 is an abundant number, since it is smaller than the sum of its proper divisors (95101687872).

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

48734237088 is a wasteful number, since it uses less digits than its factorization.

48734237088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 48734237088 in words is "forty-eight billion, seven hundred thirty-four million, two hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2357 2592 2659 3888 4714 5318 7071 7776 7977 9428 10636 14142 15954 18856 21213 21272 23931 28284 31908 37712 42426 42544 47862 56568 63639 63816 71793 75424 84852 85088 95724 113136 127278 127632 143586 169704 190917 191448 215379 226272 254556 255264 287172 339408 381834 382896 430758 509112 572751 574344 646137 678816 763668 765792 861516 1018224 1145502 1148688 1292274 1527336 1723032 2036448 2291004 2297376 2584548 3054672 3446064 4582008 5169096 6109344 6267263 6892128 9164016 10338192 12534526 18328032 18801789 20676384 25069052 37603578 50138104 56405367 75207156 100276208 112810734 150414312 169216101 200552416 225621468 300828624 338432202 451242936 507648303 601657248 676864404 902485872 1015296606 1353728808 1522944909 1804971744 2030593212 2707457616 3045889818 4061186424 5414915232 6091779636 8122372848 12183559272 16244745696 24367118544 48734237088