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511016125242 = 23729246331247
BaseRepresentation
bin1110110111110101110…
…11110100001100111010
31210212000120222212011010
413123322323310030322
531333030112001432
61030431345014350
751630312252510
oct7337273641472
91725016885133
10511016125242
111877a230a437
12830563243b6
133925b4ccc8c
141aa3a2d04b0
15d45cd0a3cc
hex76faef433a

511016125242 has 96 divisors (see below), whose sum is σ = 1212354404352. Its totient is φ = 140660993088.

The previous prime is 511016125231. The next prime is 511016125259. The reversal of 511016125242 is 242521610115.

It is a super-2 number, since 2×5110161252422 (a number of 24 digits) contains 22 as substring.

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, 16338463 + ... + 16369709.

It is an arithmetic number, because the mean of its divisors is an integer number (12628691712).

Almost surely, 2511016125242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511016125242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606177202176).

511016125242 is an abundant number, since it is smaller than the sum of its proper divisors (701338279110).

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

511016125242 is a wasteful number, since it uses less digits than its factorization.

511016125242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31780 (or 31751 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 511016125242 its reverse (242521610115), we get a palindrome (753537735357).

The spelling of 511016125242 in words is "five hundred eleven billion, sixteen million, one hundred twenty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 463 609 841 926 1218 1389 1682 2523 2778 3241 5046 5887 6482 9723 11774 13427 17661 19446 26854 31247 35322 40281 62494 80562 93741 93989 187482 187978 218729 281967 389383 437458 563934 656187 778766 906163 1168149 1312374 1812326 2336298 2718489 2725681 5436978 5451362 6343141 8177043 12686282 14467361 16354086 19029423 26278727 28934722 38058846 43402083 52557454 78836181 86804166 101271527 157672362 183951089 202543054 303814581 367902178 419553469 551853267 607629162 839106938 1103706534 1258660407 2517320814 2936874283 5873748566 8810622849 12167050601 17621245698 24334101202 36501151803 73002303606 85169354207 170338708414 255508062621 511016125242