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73350371640 = 23357313292163
BaseRepresentation
bin100010001010000000…
…1011101100100111000
321000022220122221202010
41010110001131210320
52200210143343030
653410253005520
75204455605000
oct1042401354470
9230286587663
1073350371640
1129120410957
1212270a838a0
136bbc5b5290
14379b985000
151d948136b0
hex111405d938

73350371640 has 768 divisors, whose sum is σ = 287973504000. Its totient is φ = 14850791424.

The previous prime is 73350371519. The next prime is 73350371641. The reversal of 73350371640 is 4617305337.

It is a happy number.

It is a super-2 number, since 2×733503716402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73350371641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 450002199 + ... + 450002361.

It is an arithmetic number, because the mean of its divisors is an integer number (374965500).

Almost surely, 273350371640 is an apocalyptic number.

73350371640 is a gapful number since it is divisible by the number (70) 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 73350371640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143986752000).

73350371640 is an abundant number, since it is smaller than the sum of its proper divisors (214623132360).

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

73350371640 is a wasteful number, since it uses less digits than its factorization.

73350371640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 39.

Adding to 73350371640 its reverse (4617305337), we get a palindrome (77967676977).

The spelling of 73350371640 in words is "seventy-three billion, three hundred fifty million, three hundred seventy-one thousand, six hundred forty".