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145011466626 = 2313193113672309
BaseRepresentation
bin1000011100001101011…
…0110110000110000010
3111212022002122202120020
42013003112312012002
54333440413413001
6150341202554310
713322343062115
oct2070326660602
9455262582506
10145011466626
11565542131a4
1224130068996
131089cc06b70
14703903657c
153b8ab90736
hex21c35b6182

145011466626 has 128 divisors (see below), whose sum is σ = 339771801600. Its totient is φ = 40859354880.

The previous prime is 145011466609. The next prime is 145011466661. The reversal of 145011466626 is 626664110541.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62801560 + ... + 62803868.

It is an arithmetic number, because the mean of its divisors is an integer number (2654467200).

Almost surely, 2145011466626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145011466626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169885900800).

145011466626 is an abundant number, since it is smaller than the sum of its proper divisors (194760334974).

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

145011466626 is a wasteful number, since it uses less digits than its factorization.

145011466626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 145011466626 in words is "one hundred forty-five billion, eleven million, four hundred sixty-six thousand, six hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 31 38 39 57 62 78 93 114 186 247 403 494 589 741 806 1178 1209 1367 1482 1767 2309 2418 2734 3534 4101 4618 6927 7657 8202 13854 15314 17771 22971 25973 30017 35542 42377 43871 45942 51946 53313 60034 71579 77919 84754 87742 90051 106626 127131 131613 143158 155838 180102 214737 254262 263226 337649 429474 550901 570323 675298 805163 930527 1012947 1101802 1140646 1360001 1610326 1652703 1710969 1861054 2025894 2415489 2720002 2791581 3156403 3305406 3421938 4080003 4830978 5583162 6312806 8160006 9469209 10467119 17680013 18938418 20934238 31401357 35360026 41033239 53040039 59971657 62802714 82066478 97848493 106080078 119943314 123099717 179914971 195696986 246199434 293545479 359829942 587090958 779631541 1272030409 1559263082 1859121367 2338894623 2544060818 3718242734 3816091227 4677789246 5577364101 7632182454 11154728202 24168577771 48337155542 72505733313 145011466626