Search a number
-
+
5101060556004 = 2237714451192161
BaseRepresentation
bin100101000111010111011…
…1001110000010011100100
3200001122201200101021222220
41022032232321300103210
51132033433000243004
614503221142552340
71034353015212510
oct112165671602344
920048650337886
105101060556004
111697390777026
126a4752a386b0
132b0049523c2a
14138c6d5d9140
158ca54aeedd9
hex4a3aee704e4

5101060556004 has 96 divisors (see below), whose sum is σ = 13797588252672. Its totient is φ = 1436588160000.

The previous prime is 5101060555991. The next prime is 5101060556017. The reversal of 5101060556004 is 4006550601015.

It is an interprime number because it is at equal distance from previous prime (5101060555991) and next prime (5101060556017).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26449684 + ... + 26641844.

It is an arithmetic number, because the mean of its divisors is an integer number (143724877632).

Almost surely, 25101060556004 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 5101060556004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898794126336).

5101060556004 is an abundant number, since it is smaller than the sum of its proper divisors (8696527696668).

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

5101060556004 is a wasteful number, since it uses less digits than its factorization.

5101060556004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196697 (or 196695 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 5101060556004 in words is "five trillion, one hundred one billion, sixty million, five hundred fifty-six thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 4451 5964 8902 13353 17804 26706 31157 53412 62314 93471 124628 186942 192161 316021 373884 384322 576483 632042 768644 948063 1152966 1264084 1345127 1896126 2212147 2305932 2690254 3792252 4035381 4424294 5380508 6636441 8070762 8848588 13272882 13643431 16141524 26545764 27286862 40930293 54573724 81860586 95504017 163721172 191008034 286512051 382016068 573024102 855308611 1146048204 1710617222 2565925833 3421234444 5131851666 5987160277 10263703332 11974320554 17961480831 23948641108 35922961662 60726911381 71845923324 121453822762 182180734143 242907645524 364361468286 425088379667 728722936572 850176759334 1275265139001 1700353518668 2550530278002 5101060556004