Search a number
-
+
1111258006352 = 241324122168409
BaseRepresentation
bin10000001010111100001…
…000111000001101010000
310221020100110222202010222
4100022330020320031100
5121201324022200402
62210301015412212
7143200003126334
oct20127410701520
93836313882128
101111258006352
113993111a087a
1215b452084068
1380a392b95b0
143badc7397c4
151dd8e0067a2
hex102bc238350

1111258006352 has 40 divisors (see below), whose sum is σ = 2328303765480. Its totient is φ = 510760120320.

The previous prime is 1111258006351. The next prime is 1111258006361. The reversal of 1111258006352 is 2536008521111.

It can be written as a sum of positive squares in 4 ways, for example, as 84148727056 + 1027109279296 = 290084^2 + 1013464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111258006351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11034077 + ... + 11134332.

It is an arithmetic number, because the mean of its divisors is an integer number (58207594137).

Almost surely, 21111258006352 is an apocalyptic number.

It is an amenable number.

1111258006352 is an abundant number, since it is smaller than the sum of its proper divisors (1217045759128).

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

1111258006352 is a wasteful number, since it uses less digits than its factorization.

1111258006352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22168671 (or 22168665 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The spelling of 1111258006352 in words is "one trillion, one hundred eleven billion, two hundred fifty-eight million, six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 241 482 964 1928 3133 3856 6266 12532 25064 50128 22168409 44336818 88673636 177347272 288189317 354694544 576378634 1152757268 2305514536 4611029072 5342586569 10685173138 21370346276 42740692552 69453625397 85481385104 138907250794 277814501588 555629003176 1111258006352