Search a number
-
+
23635005640 = 2351473140111
BaseRepresentation
bin10110000000110000…
…011001000011001000
32021000011102200120021
4112000300121003020
5341401030140030
614505140110224
71464461142661
oct260060310310
967004380507
1023635005640
11a029387614
1246b7395374
1322c87c324c
141202d88368
15934e4497a
hex580c190c8

23635005640 has 32 divisors (see below), whose sum is σ = 53183698560. Its totient is φ = 9453124800.

The previous prime is 23635005637. The next prime is 23635005661. The reversal of 23635005640 is 4650053632.

It is a super-2 number, since 2×236350056402 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 23635005596 and 23635005605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569185 + ... + 609295.

It is an arithmetic number, because the mean of its divisors is an integer number (1661990580).

Almost surely, 223635005640 is an apocalyptic number.

23635005640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23635005640 is an abundant number, since it is smaller than the sum of its proper divisors (29548692920).

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

23635005640 is a wasteful number, since it uses less digits than its factorization.

23635005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54853 (or 54849 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 23635005640 in words is "twenty-three billion, six hundred thirty-five million, five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 14731 29462 40111 58924 73655 80222 117848 147310 160444 200555 294620 320888 401110 589240 802220 1604440 590875141 1181750282 2363500564 2954375705 4727001128 5908751410 11817502820 23635005640