Search a number
-
+
506338320696 = 233133152350943
BaseRepresentation
bin1110101111001000001…
…11011010000100111000
31210101221120212202122220
413113210013122010320
531243440102230241
61024335243244040
751403351466415
oct7274407320470
91711846782586
10506338320696
1118581186666a
128216b819620
13389943409b0
141a714d3d10c
15d2872e9166
hex75e41da138

506338320696 has 64 divisors (see below), whose sum is σ = 1407193374720. Its totient is φ = 150770712960.

The previous prime is 506338320689. The next prime is 506338320703. The reversal of 506338320696 is 696023833605.

It is an interprime number because it is at equal distance from previous prime (506338320689) and next prime (506338320703).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26165800 + ... + 26185143.

It is an arithmetic number, because the mean of its divisors is an integer number (21987396480).

Almost surely, 2506338320696 is an apocalyptic number.

It is an amenable number.

506338320696 is an abundant number, since it is smaller than the sum of its proper divisors (900855054024).

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

506338320696 is a wasteful number, since it uses less digits than its factorization.

506338320696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52350996 (or 52350992 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The spelling of 506338320696 in words is "five hundred six billion, three hundred thirty-eight million, three hundred twenty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 52350943 104701886 157052829 209403772 314105658 418807544 628211316 680562259 1256422632 1361124518 1622879233 2041686777 2722249036 3245758466 4083373554 4868637699 5444498072 6491516932 8166747108 9737275398 12983033864 16333494216 19474550796 21097430029 38949101592 42194860058 63292290087 84389720116 126584580174 168779440232 253169160348 506338320696