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145074167376 = 24310949156473
BaseRepresentation
bin1000011100011100011…
…0000001111001010000
3111212110110122021211020
42013013012001321100
54334102441324001
6150351322515440
713324034035125
oct2070706017120
9455413567736
10145074167376
11565866491a6
1224149065b80
13108acbbb1b8
1470434b874c
153b91428736
hex21c7181e50

145074167376 has 80 divisors (see below), whose sum is σ = 378990237120. Its totient is φ = 47815971840.

The previous prime is 145074167369. The next prime is 145074167377. The reversal of 145074167376 is 673761470541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145074167377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2540676 + ... + 2597148.

It is an arithmetic number, because the mean of its divisors is an integer number (4737377964).

Almost surely, 2145074167376 is an apocalyptic number.

145074167376 is a gapful number since it is divisible by the number (16) 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 145074167376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189495118560).

145074167376 is an abundant number, since it is smaller than the sum of its proper divisors (233916069744).

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

145074167376 is a wasteful number, since it uses less digits than its factorization.

145074167376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57084 (or 57078 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 145074167376 in words is "one hundred forty-five billion, seventy-four million, one hundred sixty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 491 654 872 982 1308 1473 1744 1964 2616 2946 3928 5232 5892 7856 11784 23568 53519 56473 107038 112946 160557 169419 214076 225892 321114 338838 428152 451784 642228 677676 856304 903568 1284456 1355352 2568912 2710704 6155557 12311114 18466671 24622228 27728243 36933342 49244456 55456486 73866684 83184729 98488912 110912972 147733368 166369458 221825944 295466736 332738916 443651888 665477832 1330955664 3022378487 6044756974 9067135461 12089513948 18134270922 24179027896 36268541844 48358055792 72537083688 145074167376