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146045044662 = 231119678919531
BaseRepresentation
bin1000100000000011110…
…1101000011110110110
3111221222010111222002020
42020000331220132312
54343100012412122
6151031524054010
713360063253136
oct2100075503666
9457863458066
10146045044662
1156a34690720
122437a234306
1310a0609c7ba
1470d6404ac6
153beb7a5c5c
hex2200f687b6

146045044662 has 128 divisors (see below), whose sum is σ = 344263219200. Its totient is φ = 40834886400.

The previous prime is 146045044661. The next prime is 146045044669. The reversal of 146045044662 is 266440540641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146045044661) 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 63 ways as a sum of consecutive naturals, for example, 7467837 + ... + 7487367.

It is an arithmetic number, because the mean of its divisors is an integer number (2689556400).

Almost surely, 2146045044662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146045044662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172131609600).

146045044662 is an abundant number, since it is smaller than the sum of its proper divisors (198218174538).

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

146045044662 is a wasteful number, since it uses less digits than its factorization.

146045044662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19722.

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 146045044662 in words is "one hundred forty-six billion, forty-five million, forty-four thousand, six hundred sixty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 67 89 114 134 178 201 209 267 402 418 534 627 737 979 1254 1273 1474 1691 1958 2211 2546 2937 3382 3819 4422 5073 5874 5963 7638 10146 11926 14003 17889 18601 19531 28006 35778 37202 39062 42009 55803 58593 65593 84018 111606 113297 117186 131186 196779 214841 226594 339891 371089 393558 429682 644523 679782 742178 1113267 1246267 1289046 1308577 1738259 2226534 2492534 2617154 3476518 3738801 3925731 4081979 5214777 7477602 7851462 8163958 10429554 12245937 14394347 19120849 24491874 24862963 28788694 33026921 38241698 43183041 49725926 57362547 66053842 74588889 86366082 99080763 114725094 116463353 149177778 198161526 232926706 273492593 349390059 363296131 546985186 698780118 726592262 820477779 1089888393 1281096883 1640955558 2179776786 2212803707 2562193766 3843290649 4425607414 6638411121 7686581298 13276822242 24340840777 48681681554 73022522331 146045044662