Search a number
-
+
269416172040 = 233517142992419
BaseRepresentation
bin1111101011101001110…
…1001000101000001000
3221202102002001120222020
43322322131020220020
513403231020001130
6323433523324440
725315245451221
oct3727235105010
9852362046866
10269416172040
11a4293450724
124426ab20720
131c537810ba2
14d07b360248
15701c6ade10
hex3eba748a08

269416172040 has 128 divisors (see below), whose sum is σ = 856400688000. Its totient is φ = 67570126848.

The previous prime is 269416171963. The next prime is 269416172071. The reversal of 269416172040 is 40271614962.

It is a junction number, because it is equal to n+sod(n) for n = 269416171983 and 269416172001.

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, 2868951 + ... + 2961369.

It is an arithmetic number, because the mean of its divisors is an integer number (6690630375).

Almost surely, 2269416172040 is an apocalyptic number.

269416172040 is a gapful number since it is divisible by the number (20) 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 269416172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428200344000).

269416172040 is an abundant number, since it is smaller than the sum of its proper divisors (586984515960).

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

269416172040 is a wasteful number, since it uses less digits than its factorization.

269416172040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93879 (or 93875 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 269416172040 in words is "two hundred sixty-nine billion, four hundred sixteen million, one hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1429 2040 2858 4287 5716 7145 8574 11432 14290 17148 21435 24293 28580 34296 42870 48586 57160 72879 85740 92419 97172 121465 145758 171480 184838 194344 242930 277257 291516 364395 369676 462095 485860 554514 583032 728790 739352 924190 971720 1109028 1386285 1457580 1571123 1848380 2218056 2772570 2915160 3142246 3696760 4713369 5545140 6284492 7855615 9426738 11090280 12568984 15711230 18853476 23566845 31422460 37706952 47133690 62844920 94267380 132066751 188534760 264133502 396200253 528267004 660333755 792400506 1056534008 1320667510 1584801012 1981001265 2245134767 2641335020 3169602024 3962002530 4490269534 5282670040 6735404301 7924005060 8980539068 11225673835 13470808602 15848010120 17961078136 22451347670 26941617204 33677021505 44902695340 53883234408 67354043010 89805390680 134708086020 269416172040