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42994135548 = 2232713131100183
BaseRepresentation
bin101000000010101001…
…100111000111111100
311002222100001101022200
4220002221213013330
51201022444314143
631430133311500
73051302056650
oct500251470774
9132870041280
1042994135548
1117263083431
1283ba795590
1340924926c0
14211c0c8a60
1511b97bd1d3
hexa02a671fc

42994135548 has 144 divisors (see below), whose sum is σ = 134781943296. Its totient is φ = 11252442240.

The previous prime is 42994135523. The next prime is 42994135609. The reversal of 42994135548 is 84553149924.

It is a happy number.

42994135548 is a `hidden beast` number, since 4 + 2 + 9 + 94 + 1 + 3 + 5 + 548 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42994135494 and 42994135503.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 379065 + ... + 479247.

Almost surely, 242994135548 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 42994135548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67390971648).

42994135548 is an abundant number, since it is smaller than the sum of its proper divisors (91787807748).

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

42994135548 is a wasteful number, since it uses less digits than its factorization.

42994135548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100344 (or 100339 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 42994135548 in words is "forty-two billion, nine hundred ninety-four million, one hundred thirty-five thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 131 156 182 234 252 262 273 364 393 468 524 546 786 819 917 1092 1179 1572 1638 1703 1834 2358 2751 3276 3406 3668 4716 5109 5502 6812 8253 10218 11004 11921 15327 16506 20436 23842 30654 33012 35763 47684 61308 71526 100183 107289 143052 200366 214578 300549 400732 429156 601098 701281 901647 1202196 1302379 1402562 1803294 2103843 2604758 2805124 3606588 3907137 4207686 5209516 6311529 7814274 8415372 9116653 11721411 12623058 13123973 15628548 18233306 23442822 25246116 26247946 27349959 36466612 39371919 46885644 52495892 54699918 78743838 82049877 91867811 109399836 118115757 157487676 164099754 170611649 183735622 236231514 275603433 328199508 341223298 367471244 472463028 511834947 551206866 682446596 826810299 1023669894 1102413732 1194281543 1535504841 1653620598 2047339788 2388563086 3071009682 3307241196 3582844629 4777126172 6142019364 7165689258 10748533887 14331378516 21497067774 42994135548