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450123363265261 = 72915199145888313
BaseRepresentation
bin110011001011000101000001…
…1001011000010101011101101
32012000202101002010011120101011
41212112022003023002223231
5432444310121443442021
64233155452435145221
7163545224361665110
oct14626120313025355
92160671063146334
10450123363265261
11120472278964874
1242598b0b745211
13164215b2b8b67a
147d22130b22577
153708b1d141de1
hex19962832c2aed

450123363265261 has 16 divisors (see below), whose sum is σ = 532200569472000. Its totient is φ = 372491375050368.

The previous prime is 450123363265253. The next prime is 450123363265283. The reversal of 450123363265261 is 162562363321054.

It is not a de Polignac number, because 450123363265261 - 23 = 450123363265253 is a prime.

It is a super-2 number, since 2×4501233632652612 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450123363265291) by changing a digit.

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, 69858760 + ... + 76029553.

It is an arithmetic number, because the mean of its divisors is an integer number (33262535592000).

Almost surely, 2450123363265261 is an apocalyptic number.

It is an amenable number.

450123363265261 is a deficient number, since it is larger than the sum of its proper divisors (82077206206739).

450123363265261 is a wasteful number, since it uses less digits than its factorization.

450123363265261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145903548.

The product of its (nonzero) digits is 4665600, while the sum is 49.

The spelling of 450123363265261 in words is "four hundred fifty trillion, one hundred twenty-three billion, three hundred sixty-three million, two hundred sixty-five thousand, two hundred sixty-one".

Divisors: 1 7 29 203 15199 106393 440771 3085397 145888313 1021218191 4230761077 29615327539 2217356469287 15521495285009 64303337609323 450123363265261