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516557642146172 = 2211431699160695709
BaseRepresentation
bin111010101110011100111001…
…0110001000010000101111100
32111201222102120020102120202022
41311130321302301002011330
51020201240022342134142
65030343145500215312
7213543025630141244
oct16534716261020574
92451872506376668
10516557642146172
1113a6559583a8270
1249b283b923a538
131923023b106963
14917b747c42b24
153eabcb2b616d2
hex1d5ce72c4217c

516557642146172 has 48 divisors (see below), whose sum is σ = 1009683285072000. Its totient is φ = 229203502234560.

The previous prime is 516557642146159. The next prime is 516557642146193. The reversal of 516557642146172 is 271641246755615.

It is a super-2 number, since 2×5165576421461722 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77133347 + ... + 83562362.

It is an arithmetic number, because the mean of its divisors is an integer number (21035068439000).

Almost surely, 2516557642146172 is an apocalyptic number.

It is an amenable number.

516557642146172 is a deficient number, since it is larger than the sum of its proper divisors (493125642925828).

516557642146172 is a wasteful number, since it uses less digits than its factorization.

516557642146172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160697466 (or 160697464 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 62.

The spelling of 516557642146172 in words is "five hundred sixteen trillion, five hundred fifty-seven billion, six hundred forty-two million, one hundred forty-six thousand, one hundred seventy-two".

Divisors: 1 2 4 11 22 43 44 86 172 473 946 1699 1892 3398 6796 18689 37378 73057 74756 146114 292228 803627 1607254 3214508 160695709 321391418 642782836 1767652799 3535305598 6909915487 7070611196 13819830974 27639661948 76009070357 152018140714 273022009591 304036281428 546044019182 1092088038364 3003242105501 6006484211002 11739946412413 12012968422004 23479892824826 46959785649652 129139410536543 258278821073086 516557642146172