Search a number
-
+
35505072036 = 2233746964381
BaseRepresentation
bin100001000100010001…
…000110011110100100
310101122102001112112000
4201010101012132210
51040203244301121
624151044525300
72364564063360
oct410421063644
9111572045460
1035505072036
111406a762145
126a6a6b0830
13346aa63585
141a0b6222a0
15dcc09b526
hex8444467a4

35505072036 has 48 divisors (see below), whose sum is σ = 105200215680. Its totient is φ = 10144306080.

The previous prime is 35505072023. The next prime is 35505072037. The reversal of 35505072036 is 63027050553.

35505072036 is a `hidden beast` number, since 3 + 550 + 5 + 0 + 72 + 0 + 36 = 666.

It is a super-2 number, since 2×355050720362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35505072037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23481435 + ... + 23482946.

It is an arithmetic number, because the mean of its divisors is an integer number (2191671160).

Almost surely, 235505072036 is an apocalyptic number.

35505072036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

35505072036 is an abundant number, since it is smaller than the sum of its proper divisors (69695143644).

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

35505072036 is a wasteful number, since it uses less digits than its factorization.

35505072036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46964401 (or 46964393 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The spelling of 35505072036 in words is "thirty-five billion, five hundred five million, seventy-two thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 46964381 93928762 140893143 187857524 281786286 328750667 422679429 563572572 657501334 845358858 986252001 1268038287 1315002668 1690717716 1972504002 2536076574 2958756003 3945008004 5072153148 5917512006 8876268009 11835024012 17752536018 35505072036