Search a number
-
+
5269170719072 = 251319701950993
BaseRepresentation
bin100110010101101001100…
…0011001000100101100000
3200122201122120022102012202
41030223103003020211200
51142312230201002242
615112342411112332
71052453651060141
oct114532303104540
920581576272182
105269170719072
11175170855a797
1271124a7426a8
132c2b5aa952c0
1414305a291ac8
15920e3598932
hex4cad30c8960

5269170719072 has 96 divisors (see below), whose sum is σ = 11776424980320. Its totient is φ = 2300639846400.

The previous prime is 5269170719063. The next prime is 5269170719161. The reversal of 5269170719072 is 2709170719625.

It is a junction number, because it is equal to n+sod(n) for n = 5269170718999 and 5269170719017.

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 15 ways as a sum of consecutive naturals, for example, 5065208 + ... + 6016200.

It is an arithmetic number, because the mean of its divisors is an integer number (122671093545).

Almost surely, 25269170719072 is an apocalyptic number.

5269170719072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5269170719072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888212490160).

5269170719072 is an abundant number, since it is smaller than the sum of its proper divisors (6507254261248).

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

5269170719072 is a wasteful number, since it uses less digits than its factorization.

5269170719072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951736 (or 951728 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 56.

The spelling of 5269170719072 in words is "five trillion, two hundred sixty-nine billion, one hundred seventy million, seven hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 701 988 1402 1976 2804 3952 5608 7904 9113 11216 13319 18226 22432 26638 36452 53276 72904 106552 145808 173147 213104 291616 346294 426208 692588 950993 1385176 1901986 2770352 3803972 5540704 7607944 12362909 15215888 18068867 24725818 30431776 36137734 49451636 72275468 98903272 144550936 197806544 234895271 289101872 395613088 469790542 578203744 666646093 939581084 1333292186 1879162168 2666584372 3758324336 5333168744 7516648672 8666399209 10666337488 12666275767 17332798418 21332674976 25332551534 34665596836 50665103068 69331193672 101330206136 138662387344 164661584971 202660412272 277324774688 329323169942 405320824544 658646339884 1317292679768 2634585359536 5269170719072