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161731460046 = 23135339122269
BaseRepresentation
bin1001011010011111110…
…0100011101111001110
3120110110100021102122210
42112213330203233032
510122211223210141
6202144242251250
714453566504452
oct2264774435716
9513410242583
10161731460046
1162654213782
1227417656b26
1312335bac8b0
147b83868662
1543189a7916
hex25a7f23bce

161731460046 has 32 divisors (see below), whose sum is σ = 354917233440. Its totient is φ = 48824590464.

The previous prime is 161731460003. The next prime is 161731460087. The reversal of 161731460046 is 640064137161.

It is a super-3 number, since 3×1617314600463 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 161731459986 and 161731460013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19557001 + ... + 19565268.

It is an arithmetic number, because the mean of its divisors is an integer number (11091163545).

Almost surely, 2161731460046 is an apocalyptic number.

161731460046 is an abundant number, since it is smaller than the sum of its proper divisors (193185773394).

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

161731460046 is a wasteful number, since it uses less digits than its factorization.

161731460046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39122340.

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 161731460046 in words is "one hundred sixty-one billion, seven hundred thirty-one million, four hundred sixty thousand, forty-six".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 2067 4134 39122269 78244538 117366807 234733614 508589497 1017178994 1525768491 2073480257 3051536982 4146960514 6220440771 12440881542 26955243341 53910486682 80865730023 161731460046