Search a number
-
+
514150660100 = 225271166772813
BaseRepresentation
bin1110111101101011100…
…01000111100000000100
31211011010001011201121202
413132311301013200010
531410440032110400
61032110401002032
752101063334220
oct7366561074004
91734101151552
10514150660100
11189060709910
1283790023318
133963aa2a12c
141ac56717780
15d5930c64d5
hex77b5c47804

514150660100 has 72 divisors (see below), whose sum is σ = 1391011261248. Its totient is φ = 160254748800.

The previous prime is 514150660073. The next prime is 514150660117. The reversal of 514150660100 is 1066051415.

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 23 ways as a sum of consecutive naturals, for example, 33378707 + ... + 33394106.

Almost surely, 2514150660100 is an apocalyptic number.

514150660100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514150660100 is an abundant number, since it is smaller than the sum of its proper divisors (876860601148).

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

514150660100 is a wasteful number, since it uses less digits than its factorization.

514150660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66772845 (or 66772838 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 514150660100 in words is "five hundred fourteen billion, one hundred fifty million, six hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 66772813 133545626 267091252 333864065 467409691 667728130 734500943 934819382 1335456260 1469001886 1669320325 1869638764 2337048455 2938003772 3338640650 3672504715 4674096910 5141506601 6677281300 7345009430 9348193820 10283013202 11685242275 14690018860 18362523575 20566026404 23370484550 25707533005 36725047150 46740969100 51415066010 73450094300 102830132020 128537665025 257075330050 514150660100