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74190097801 = 1512551192601
BaseRepresentation
bin100010100011000010…
…0110000110110001001
321002111102202110111001
41011012010300312021
52203420131112201
654025451135001
75234333266141
oct1050604606611
9232442673431
1074190097801
1129511415616
1212466144461
136cc4567171
14383b2d1921
151de33d6301
hex1146130d89

74190097801 has 8 divisors (see below), whose sum is σ = 74711086208. Its totient is φ = 73669500000.

The previous prime is 74190097777. The next prime is 74190097819. The reversal of 74190097801 is 10879009147.

74190097801 is a nontrivial binomial coefficient, being equal to C(385202, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(74190097801) divides (74190097801-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 74190097801 - 223 = 74181709193 is a prime.

It is a super-2 number, since 2×741900978012 (a number of 23 digits) contains 22 as substring.

It is a deceptive number, since it divides R74190097800.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74190097841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288901 + ... + 481501.

It is an arithmetic number, because the mean of its divisors is an integer number (9338885776).

It is a Poulet number, since it divides 274190097800-1.

Almost surely, 274190097801 is an apocalyptic number.

74190097801 is the 385201-st triangular number and also the 192601-st hexagonal number.

74190097801 is the 128401-st centered nonagonal number.

It is an amenable number.

74190097801 is a deficient number, since it is larger than the sum of its proper divisors (520988407).

74190097801 is a wasteful number, since it uses less digits than its factorization.

74190097801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195303.

The product of its (nonzero) digits is 127008, while the sum is 46.

The spelling of 74190097801 in words is "seventy-four billion, one hundred ninety million, ninety-seven thousand, eight hundred one".

Divisors: 1 151 2551 192601 385201 29082751 491325151 74190097801