Search a number
-
+
350502035545044 = 223219297750452477
BaseRepresentation
bin100111110110001111001110…
…1010100100101101111010100
31200222000200000111112222002200
41033230132131110211233110
5331420111132044420134
63241242225013404500
7133553636121014325
oct11754363524455724
91628020014488080
10350502035545044
11a1754095550139
1233389786639730
131207627a8b6a86
14627a56373244c
152a7c567b86499
hex13ec79d525bd4

350502035545044 has 36 divisors (see below), whose sum is σ = 885995865253044. Its totient is φ = 116833404102912.

The previous prime is 350502035545031. The next prime is 350502035545097. The reversal of 350502035545044 is 440545530205053.

350502035545044 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 0 + 2 + 0 + 3 + 554 + 50 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 346607135942544 + 3894899602500 = 18617388^2 + 1973550^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3505020355450443 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18279067 + ... + 32173410.

It is an arithmetic number, because the mean of its divisors is an integer number (24610996257029).

Almost surely, 2350502035545044 is an apocalyptic number.

It is an amenable number.

350502035545044 is an abundant number, since it is smaller than the sum of its proper divisors (535493829708000).

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

350502035545044 is a wasteful number, since it uses less digits than its factorization.

350502035545044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50645464 (or 50645459 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 45.

The spelling of 350502035545044 in words is "three hundred fifty trillion, five hundred two billion, thirty-five million, five hundred forty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 192977 385954 578931 771908 1157862 1736793 2315724 3473586 6947172 50452477 100904954 151357431 201809908 302714862 454072293 605429724 908144586 1816289172 9736167654029 19472335308058 29208502962087 38944670616116 58417005924174 87625508886261 116834011848348 175251017772522 350502035545044