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5124335554104 = 23313239397173099
BaseRepresentation
bin100101010010001101000…
…1100110100111000111000
3200010212210202101201001120
41022210122030310320320
51132424114400212404
614522030502545240
71036135545351024
oct112443214647070
920125722351046
105124335554104
1116a6244913648
126a9169738220
132b22b8568b60
1413a03a82d384
158d4681309d9
hex4a91a334e38

5124335554104 has 128 divisors (see below), whose sum is σ = 13888990080000. Its totient is φ = 1566157469184.

The previous prime is 5124335554103. The next prime is 5124335554153. The reversal of 5124335554104 is 4014555334215.

It is a super-2 number, since 2×51243355541042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5124335554103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29516947 + ... + 29690045.

It is an arithmetic number, because the mean of its divisors is an integer number (108507735000).

Almost surely, 25124335554104 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 5124335554104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944495040000).

5124335554104 is an abundant number, since it is smaller than the sum of its proper divisors (8764654525896).

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

5124335554104 is a wasteful number, since it uses less digits than its factorization.

5124335554104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173757 (or 173753 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 5124335554104 in words is "five trillion, one hundred twenty-four billion, three hundred thirty-five million, five hundred fifty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 239 312 397 478 717 794 956 1191 1434 1588 1912 2382 2868 3107 3176 4764 5161 5736 6214 9321 9528 10322 12428 15483 18642 20644 24856 30966 37284 41288 61932 74568 94883 123864 173099 189766 284649 346198 379532 519297 569298 692396 759064 1038594 1138596 1233479 1384792 2077188 2250287 2277192 2466958 3700437 4154376 4500574 4933916 6750861 7400874 9001148 9867832 13501722 14801748 18002296 27003444 29603496 41370661 54006888 68720303 82741322 124111983 137440606 165482644 206160909 248223966 274881212 330965288 412321818 496447932 537818593 549762424 824643636 893363939 992895864 1075637186 1613455779 1649287272 1786727878 2151274372 2680091817 3226911558 3573455756 4302548744 5360183634 6453823116 7146911512 10720367268 12907646232 16424152417 21440734536 32848304834 49272457251 65696609668 98544914502 131393219336 197089829004 213513981421 394179658008 427027962842 640541944263 854055925684 1281083888526 1708111851368 2562167777052 5124335554104