Search a number
-
+
495090690432 = 2731399176821
BaseRepresentation
bin1110011010001011011…
…01000110100110000000
31202022220201110221120020
413031011231012212000
531102421204043212
61015235211413440
750524544301432
oct7150555064600
91668821427506
10495090690432
11180a6a873568
127bb50a54280
13378c1023480
1419d6920c652
15cd29b42d8c
hex7345b46980

495090690432 has 64 divisors (see below), whose sum is σ = 1416245018160. Its totient is φ = 152335595520.

The previous prime is 495090690401. The next prime is 495090690443. The reversal of 495090690432 is 234096090594.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4950906904322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49583419 + ... + 49593402.

Almost surely, 2495090690432 is an apocalyptic number.

It is an amenable number.

495090690432 is an abundant number, since it is smaller than the sum of its proper divisors (921154327728).

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

495090690432 is a wasteful number, since it uses less digits than its factorization.

495090690432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99176851 (or 99176839 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 495090690432 in words is "four hundred ninety-five billion, ninety million, six hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 99176821 198353642 297530463 396707284 595060926 793414568 1190121852 1289298673 1586829136 2380243704 2578597346 3173658272 3867896019 4760487408 5157194692 6347316544 7735792038 9520974816 10314389384 12694633088 15471584076 19041949632 20628778768 30943168152 38083899264 41257557536 61886336304 82515115072 123772672608 165030230144 247545345216 495090690432