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23145122396 = 22111761672113
BaseRepresentation
bin10101100011100011…
…101000101001011100
32012202000122001002102
4111203203220221130
5334400122404041
614344400144232
71446362202644
oct254343505134
965660561072
1023145122396
1198a7900030
12459b308078
13224b170bc6
141197ca7524
15906e2909b
hex5638e8a5c

23145122396 has 144 divisors (see below), whose sum is σ = 48699820512. Its totient is φ = 9509068800.

The previous prime is 23145122347. The next prime is 23145122431. The reversal of 23145122396 is 69322154132.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 204824036 + ... + 204824148.

It is an arithmetic number, because the mean of its divisors is an integer number (338193198).

Almost surely, 223145122396 is an apocalyptic number.

It is an amenable number.

23145122396 is an abundant number, since it is smaller than the sum of its proper divisors (25554698116).

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

23145122396 is a wasteful number, since it uses less digits than its factorization.

23145122396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 271 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

It can be divided in two parts, 23145 and 122396, that added together give a palindrome (145541).

The spelling of 23145122396 in words is "twenty-three billion, one hundred forty-five million, one hundred twenty-two thousand, three hundred ninety-six".

Divisors: 1 2 4 11 17 22 34 44 61 67 68 113 122 134 187 226 244 268 374 452 671 737 748 1037 1139 1243 1342 1474 1921 2074 2278 2486 2684 2948 3842 4087 4148 4489 4556 4972 6893 7571 7684 8174 8978 11407 12529 13786 15142 16348 17956 21131 22814 25058 27572 30284 42262 44957 45628 49379 50116 69479 75823 76313 83281 84524 89914 98758 117181 128707 138958 151646 152626 166562 179828 197516 234362 257414 273829 277916 303292 305252 333124 461831 468724 507257 514828 547658 764269 839443 923662 1014514 1095316 1288991 1415777 1528538 1678886 1847324 2029028 2577982 2831554 3012119 3057076 3357772 4655093 5080141 5155964 5579827 5663108 6024238 7851127 8623369 9310186 10160282 11159654 12048476 15702254 17246738 18620372 20320564 22319308 30942677 31404508 34493476 51206023 61885354 86362397 94857059 102412046 123770708 172724794 189714118 204824092 340369447 345449588 379428236 526025509 680738894 1052051018 1361477788 2104102036 5786280599 11572561198 23145122396