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4375020100038 = 237413539977219
BaseRepresentation
bin111111101010100011100…
…001001101100111000110
3120111020200200011200011220
4333222203201031213012
51033140020121200123
613145505000141210
7631041035156340
oct77524341154706
916436620150156
104375020100038
111437487876445
125a7aa9467806
1325974111a383
14111a75aac290
1578c0e851ce3
hex3faa384d9c6

4375020100038 has 128 divisors (see below), whose sum is σ = 10284697543680. Its totient is φ = 1214675066880.

The previous prime is 4375020099979. The next prime is 4375020100049. The reversal of 4375020100038 is 8300010205734.

It is a junction number, because it is equal to n+sod(n) for n = 4375020099981 and 4375020100008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 606038793 + ... + 606046011.

It is an arithmetic number, because the mean of its divisors is an integer number (80349199560).

Almost surely, 24375020100038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4375020100038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142348771840).

4375020100038 is an abundant number, since it is smaller than the sum of its proper divisors (5909677443642).

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

4375020100038 is a wasteful number, since it uses less digits than its factorization.

4375020100038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8622.

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 4375020100038 in words is "four trillion, three hundred seventy-five billion, twenty million, one hundred thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 353 574 706 861 997 1059 1722 1994 2118 2471 2991 4942 5982 6979 7219 7413 13958 14438 14473 14826 20937 21657 28946 40877 41874 43314 43419 50533 81754 86838 101066 101311 122631 151599 202622 245262 286139 295979 303198 303933 351941 572278 591958 607866 703882 858417 887937 1055823 1716834 1775874 2071853 2111646 2463587 2548307 4143706 4927174 5096614 6215559 7197343 7390761 7644921 12431118 14394686 14429581 14781522 15289842 17838149 21592029 28859162 35676298 43184058 43288743 50381401 53514447 86577486 100762802 101007067 104480587 107028894 151144203 202014134 208961174 295091063 302288406 303021201 313441761 590182126 606042402 626883522 731364109 885273189 1462728218 1770546378 2065637441 2194092327 2540662079 4131274882 4388184654 5081324158 6196912323 7621986237 12393824646 15243972474 17784634553 35569269106 53353903659 104167145239 106707807318 208334290478 312501435717 625002871434 729170016673 1458340033346 2187510050019 4375020100038