Search a number
-
+
1925476368270 = 2357131667423097
BaseRepresentation
bin11100000001001111010…
…101011011111110001110
320211001222202111002221120
4130001033111123332032
5223021333422241040
64032315052541410
7256053046041510
oct34011725337616
96731882432846
101925476368270
116826542382a4
12271206181866
1310c757b8aa70
146929d179bb0
15351456b17d0
hex1c04f55bf8e

1925476368270 has 128 divisors (see below), whose sum is σ = 5690986269696. Its totient is φ = 406009691136.

The previous prime is 1925476368239. The next prime is 1925476368287. The reversal of 1925476368270 is 728636745291.

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, 4339362 + ... + 4762458.

It is an arithmetic number, because the mean of its divisors is an integer number (44460830232).

It is a 1-persistent number, because it is pandigital, but 2⋅1925476368270 = 3850952736540 is not.

Almost surely, 21925476368270 is an apocalyptic number.

1925476368270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1925476368270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845493134848).

1925476368270 is an abundant number, since it is smaller than the sum of its proper divisors (3765509901426).

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

1925476368270 is a wasteful number, since it uses less digits than its factorization.

1925476368270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424794.

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 1925476368270 in words is "one trillion, nine hundred twenty-five billion, four hundred seventy-six million, three hundred sixty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 1667 2730 3334 5001 8335 10002 11669 16670 21671 23338 25005 35007 43342 50010 58345 65013 70014 108355 116690 130026 151697 175035 216710 303394 325065 350070 423097 455091 650130 758485 846194 910182 1269291 1516970 2115485 2275455 2538582 2961679 4230970 4550910 5500261 5923358 6346455 8885037 11000522 12692910 14808395 16500783 17770074 27501305 29616790 33001566 38501827 44425185 55002610 77003654 82503915 88850370 115505481 165007830 192509135 231010962 385018270 577527405 705302699 1155054810 1410605398 2115908097 3526513495 4231816194 4937118893 7053026990 9168935087 9874237786 10579540485 14811356679 18337870174 21159080970 24685594465 27506805261 29622713358 45844675435 49371188930 55013610522 64182545609 74056783395 91689350870 128365091218 137534026305 148113566790 192547636827 275068052610 320912728045 385095273654 641825456090 962738184135 1925476368270