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145380670182 = 233112293112467
BaseRepresentation
bin1000011101100101011…
…1001111101011100110
3111220020211101020122000
42013121113033223212
54340214422421212
6150441552150130
713334445210246
oct2073127175346
9456224336560
10145380670182
1156723664300
1224213838346
131092b554ac7
1470720a1b26
153bad2be1dc
hex21d95cfae6

145380670182 has 192 divisors, whose sum is σ = 368683660800. Its totient is φ = 42381662400.

The previous prime is 145380670181. The next prime is 145380670213. The reversal of 145380670182 is 281076083541.

It is a super-2 number, since 2×1453806701822 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145380670181) 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, 58928913 + ... + 58931379.

It is an arithmetic number, because the mean of its divisors is an integer number (1920227400).

Almost surely, 2145380670182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145380670182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184341830400).

145380670182 is an abundant number, since it is smaller than the sum of its proper divisors (223302990618).

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

145380670182 is a wasteful number, since it uses less digits than its factorization.

145380670182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 145380670182 in words is "one hundred forty-five billion, three hundred eighty million, six hundred seventy thousand, one hundred eighty-two".