Search a number
-
+
35769661140 = 22354712684277
BaseRepresentation
bin100001010100000010…
…011011011011010100
310102022211221001112110
4201110002123123110
51041224013124030
624233215551020
72404256050233
oct412402333324
9112284831473
1035769661140
111419604a924
126b2322b470
1334b0813585
141a34818b1a
15de54131b0
hex85409b6d4

35769661140 has 48 divisors (see below), whose sum is σ = 102286017792. Its totient is φ = 9335627136.

The previous prime is 35769661127. The next prime is 35769661141. The reversal of 35769661140 is 4116696753.

It is a self number, because there is not a number n which added to its sum of digits gives 35769661140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35769661141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6339319 + ... + 6344958.

It is an arithmetic number, because the mean of its divisors is an integer number (2130958704).

Almost surely, 235769661140 is an apocalyptic number.

35769661140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35769661140 is an abundant number, since it is smaller than the sum of its proper divisors (66516356652).

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

35769661140 is a wasteful number, since it uses less digits than its factorization.

35769661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684336 (or 12684334 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 35769661140 in words is "thirty-five billion, seven hundred sixty-nine million, six hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 12684277 25368554 38052831 50737108 63421385 76105662 126842770 152211324 190264155 253685540 380528310 596161019 761056620 1192322038 1788483057 2384644076 2980805095 3576966114 5961610190 7153932228 8942415285 11923220380 17884830570 35769661140