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87373422048 = 25311167495449
BaseRepresentation
bin101000101011111011…
…1001001110111100000
322100112012111201112110
41101113313021313200
52412420044001143
6104045551355320
76212123555613
oct1212767116740
9270465451473
1087373422048
1134067023210
1214b25222b40
138315904b43
14432c13c17a
15241599b533
hex1457dc9de0

87373422048 has 96 divisors (see below), whose sum is σ = 251704454400. Its totient is φ = 26318197760.

The previous prime is 87373422023. The next prime is 87373422083. The reversal of 87373422048 is 84022437378.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×873734220482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 87373421988 and 87373422006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71373 + ... + 424076.

It is an arithmetic number, because the mean of its divisors is an integer number (2621921400).

Almost surely, 287373422048 is an apocalyptic number.

87373422048 is a gapful number since it is divisible by the number (88) 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 87373422048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125852227200).

87373422048 is an abundant number, since it is smaller than the sum of its proper divisors (164331032352).

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

87373422048 is a wasteful number, since it uses less digits than its factorization.

87373422048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495640 (or 495632 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 87373422048 in words is "eighty-seven billion, three hundred seventy-three million, four hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 167 176 264 334 352 501 528 668 1002 1056 1336 1837 2004 2672 3674 4008 5344 5511 7348 8016 11022 14696 16032 22044 29392 44088 58784 88176 176352 495449 990898 1486347 1981796 2972694 3963592 5449939 5945388 7927184 10899878 11890776 15854368 16349817 21799756 23781552 32699634 43599512 47563104 65399268 82739983 87199024 130798536 165479966 174398048 248219949 261597072 330959932 496439898 523194144 661919864 910139813 992879796 1323839728 1820279626 1985759592 2647679456 2730419439 3640559252 3971519184 5460838878 7281118504 7943038368 10921677756 14562237008 21843355512 29124474016 43686711024 87373422048