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93890311488 = 2634234318313
BaseRepresentation
bin101011101110001001…
…1000111010101000000
322222100101012000020000
41113130103013111000
53014241404431423
6111044351120000
76532455323361
oct1273423072500
9288311160200
1093890311488
11369006a6756
1216243813000
138b13aba33c
14478985bb68
152697b86843
hex15dc4c7540

93890311488 has 280 divisors, whose sum is σ = 297191387328. Its totient is φ = 29238257664.

The previous prime is 93890311481. The next prime is 93890311499. The reversal of 93890311488 is 88411309839.

It is a super-4 number, since 4×938903114884 (a number of 45 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93890311481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5117820 + ... + 5136132.

Almost surely, 293890311488 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 93890311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148595693664).

93890311488 is an abundant number, since it is smaller than the sum of its proper divisors (203301075840).

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

93890311488 is a wasteful number, since it uses less digits than its factorization.

93890311488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18403 (or 18384 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 93890311488 in words is "ninety-three billion, eight hundred ninety million, three hundred eleven thousand, four hundred eighty-eight".