Search a number
-
+
1146567165042 = 2313311231385199
BaseRepresentation
bin10000101011110100101…
…110101000010001110010
311001121111020101212002010
4100223310232220101302
5122241132143240132
62234420425303350
7145560001046055
oct20536456502162
94047436355063
101146567165042
11402290301362
12166267034b56
13841755969c0
143d6cbd20a9c
151ec58ca46cc
hex10af4ba8472

1146567165042 has 64 divisors (see below), whose sum is σ = 2551268966400. Its totient is φ = 341131348800.

The previous prime is 1146567164999. The next prime is 1146567165097. The reversal of 1146567165042 is 2405617656411.

It is a junction number, because it is equal to n+sod(n) for n = 1146567164982 and 1146567165000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2783959 + ... + 3169157.

It is an arithmetic number, because the mean of its divisors is an integer number (39863577600).

Almost surely, 21146567165042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146567165042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275634483200).

1146567165042 is an abundant number, since it is smaller than the sum of its proper divisors (1404701801358).

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

1146567165042 is a wasteful number, since it uses less digits than its factorization.

1146567165042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386479.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 1146567165042 in words is "one trillion, one hundred forty-six billion, five hundred sixty-seven million, one hundred sixty-five thousand, forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 1231 2418 2462 3693 7386 16003 32006 38161 48009 76322 96018 114483 228966 385199 496093 770398 992186 1155597 1488279 2311194 2976558 5007587 10015174 11941169 15022761 23882338 30045522 35823507 71647014 155235197 310470394 465705591 474179969 931411182 948359938 1422539907 2845079814 6164339597 12328679194 14699579039 18493018791 29399158078 36986037582 44098737117 88197474234 191094527507 382189055014 573283582521 1146567165042