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73468915520 = 26571121329719
BaseRepresentation
bin100010001101100010…
…1101010111101000000
321000122011201121101012
41010123011222331000
52200431020244040
653430125500052
75210425322660
oct1043305527500
9230564647335
1073468915520
1129181318700
12122a4711628
136c0b01c4a0
1437ad6021a0
151d9ee2c865
hex111b16af40

73468915520 has 672 divisors, whose sum is σ = 245176243200. Its totient is φ = 20380631040.

The previous prime is 73468915519. The next prime is 73468915523. The reversal of 73468915520 is 2551986437.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73468915523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102181721 + ... + 102182439.

It is an arithmetic number, because the mean of its divisors is an integer number (364845600).

It is a 1-persistent number, because it is pandigital, but 2⋅73468915520 = 146937831040 is not.

Almost surely, 273468915520 is an apocalyptic number.

73468915520 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 73468915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122588121600).

73468915520 is an abundant number, since it is smaller than the sum of its proper divisors (171707327680).

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

73468915520 is a wasteful number, since it uses less digits than its factorization.

73468915520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 73468915520 in words is "seventy-three billion, four hundred sixty-eight million, nine hundred fifteen thousand, five hundred twenty".