Search a number
-
+
38026362465 = 3457131516833
BaseRepresentation
bin100011011010100011…
…000011111001100001
310122011010022100210000
4203122203003321201
51110334222044330
625245152530213
72514220514340
oct433243037141
9118133270700
1038026362465
1115143987a43
127452b50969
1337802085c0
141baa415b57
15ec85d0560
hex8da8c3e61

38026362465 has 160 divisors (see below), whose sum is σ = 84464303616. Its totient is φ = 15937689600.

The previous prime is 38026362457. The next prime is 38026362469. The reversal of 38026362465 is 56426362083.

It is a happy number.

38026362465 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 636 + 2 + 4 + 6 + 5 = 666.

It is not a de Polignac number, because 38026362465 - 23 = 38026362457 is a prime.

It is a super-3 number, since 3×380263624653 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38026362465.

It is not an unprimeable number, because it can be changed into a prime (38026362469) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 5561689 + ... + 5568521.

Almost surely, 238026362465 is an apocalyptic number.

38026362465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38026362465 is an abundant number, since it is smaller than the sum of its proper divisors (46437941151).

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

38026362465 is a wasteful number, since it uses less digits than its factorization.

38026362465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 38026362465 in words is "thirty-eight billion, twenty-six million, three hundred sixty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 151 189 195 273 315 351 405 453 455 567 585 755 819 945 1053 1057 1359 1365 1755 1963 2265 2457 2835 3171 4077 4095 5265 5285 5889 6795 6833 7371 9513 9815 12231 12285 13741 15855 17667 20385 20499 28539 29445 34165 36855 41223 47565 47831 53001 61155 61497 68705 85617 88335 88829 102495 123669 142695 143493 159003 184491 206115 239155 265005 266487 307485 371007 428085 430479 444145 553473 618345 621803 717465 795015 799461 922455 1031783 1113021 1291437 1332435 1855035 1865409 2152395 2398383 2767365 3095349 3109015 3874311 3997305 5158915 5565105 5596227 6457185 7195149 7222481 9286047 9327045 11991915 13413179 15476745 16788681 19371555 21667443 27858141 27981135 35975745 36112405 40239537 46430235 50366043 65002329 67065895 83574423 83943405 93892253 108337215 120718611 139290705 195006987 201197685 251830215 281676759 325011645 362155833 417872115 469461265 585020961 603593055 845030277 975034935 1086467499 1408383795 1810779165 2535090831 2925104805 4225151385 5432337495 7605272493 12675454155 38026362465