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74232412380 = 2232571011513863
BaseRepresentation
bin100010100100010011…
…0001011100011011100
321002121101101021011200
41011020212023203130
52204011444144010
654034002115500
75235356044230
oct1051046134334
9232541337150
1074232412380
1129533297145
121247834bb90
137000261389
143842b885c0
151de6e93cc0
hex114898b8dc

74232412380 has 288 divisors, whose sum is σ = 261675767808. Its totient is φ = 16683840000.

The previous prime is 74232412327. The next prime is 74232412421. The reversal of 74232412380 is 8321423247.

It is a happy number.

74232412380 is a `hidden beast` number, since 7 + 4 + 232 + 41 + 2 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19214329 + ... + 19218191.

It is an arithmetic number, because the mean of its divisors is an integer number (908596416).

Almost surely, 274232412380 is an apocalyptic number.

74232412380 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 74232412380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130837883904).

74232412380 is an abundant number, since it is smaller than the sum of its proper divisors (187443355428).

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

74232412380 is a wasteful number, since it uses less digits than its factorization.

74232412380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 74232412380 in words is "seventy-four billion, two hundred thirty-two million, four hundred twelve thousand, three hundred eighty".