Search a number
-
+
60045816144 = 24317832633371
BaseRepresentation
bin110111111011000000…
…100111000101010000
312201222200210111200110
4313323000213011100
51440433212104034
643330142121320
74223664005316
oct677300470520
9181880714613
1060045816144
1123513330446
12b779280240
13587c0ac132
142c989bc0b6
1518667a2de9
hexdfb027150

60045816144 has 160 divisors (see below), whose sum is σ = 166903317504. Its totient is φ = 18534676480.

The previous prime is 60045816143. The next prime is 60045816211. The reversal of 60045816144 is 44161854006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60045816143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17810779 + ... + 17814149.

Almost surely, 260045816144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60045816144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83451658752).

60045816144 is an abundant number, since it is smaller than the sum of its proper divisors (106857501360).

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

60045816144 is a wasteful number, since it uses less digits than its factorization.

60045816144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 60045816144 in words is "sixty billion, forty-five million, eight hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 166 204 249 263 272 332 408 498 526 664 789 816 996 1052 1328 1411 1578 1992 2104 2822 3156 3371 3984 4208 4233 4471 5644 6312 6742 8466 8942 10113 11288 12624 13413 13484 16932 17884 20226 21829 22576 26826 26968 33864 35768 40452 43658 53652 53936 57307 65487 67728 71536 80904 87316 107304 114614 130974 161808 171921 174632 214608 229228 261948 279793 343842 349264 371093 458456 523896 559586 687684 742186 839379 886573 916912 1047792 1113279 1119172 1375368 1484372 1678758 1773146 2226558 2238344 2659719 2750736 2968744 3357516 3546292 4453116 4476688 4756481 5319438 5937488 6715032 7092584 8906232 9512962 10638876 13430064 14185168 14269443 15071741 17812464 19025924 21277752 28538886 30143482 38051848 42555504 45215223 57077772 60286964 73585559 76103696 90430446 114155544 120573928 147171118 180860892 220756677 228311088 241147856 294342236 361721784 441513354 588684472 723443568 883026708 1177368944 1250954503 1766053416 2501909006 3532106832 3752863509 5003818012 7505727018 10007636024 15011454036 20015272048 30022908072 60045816144