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506042145350 = 252729411216009
BaseRepresentation
bin1110101110100100111…
…01100101101001000110
31210101011221120111110122
413113102131211221012
531242333242122400
61024250023221542
751363124156430
oct7272235455106
91711157514418
10506042145350
1118567a664755
12820a85a78b2
1338947b81a01
141a6c7883650
15d26b2e3685
hex75d2765a46

506042145350 has 96 divisors (see below), whose sum is σ = 1139936414400. Its totient is φ = 163431475200.

The previous prime is 506042145307. The next prime is 506042145373. The reversal of 506042145350 is 53541240605.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 506042145350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191855 + ... + 1024154.

It is an arithmetic number, because the mean of its divisors is an integer number (11874337650).

Almost surely, 2506042145350 is an apocalyptic number.

506042145350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506042145350 is an abundant number, since it is smaller than the sum of its proper divisors (633894269050).

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

506042145350 is a wasteful number, since it uses less digits than its factorization.

506042145350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216098 (or 1216093 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 506042145350 its reverse (53541240605), we get a palindrome (559583385955).

The spelling of 506042145350 in words is "five hundred six billion, forty-two million, one hundred forty-five thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 29 35 41 50 58 70 82 145 175 203 205 287 290 350 406 410 574 725 1015 1025 1189 1435 1450 2030 2050 2378 2870 5075 5945 7175 8323 10150 11890 14350 16646 29725 41615 59450 83230 208075 416150 1216009 2432018 6080045 8512063 12160090 17024126 30400225 35264261 42560315 49856369 60800450 70528522 85120630 99712738 176321305 212801575 246849827 249281845 348994583 352642610 425603150 493699654 498563690 697989166 881606525 1234249135 1246409225 1445834701 1744972915 1763213050 2468498270 2492818450 2891669402 3489945830 6171245675 7229173505 8724864575 10120842907 12342491350 14458347010 17449729150 20241685814 36145867525 50604214535 72291735050 101208429070 253021072675 506042145350