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29352960740 = 22529487103919
BaseRepresentation
bin11011010101100100…
…101010001011100100
32210202122202220101002
4123111210222023210
5440103324220430
621252355452432
72056252023005
oct332544521344
983678686332
1029352960740
11114a2a87944
1258322b7118
1329ca30992c
1415c65391ac
15b6be18845
hex6d592a2e4

29352960740 has 48 divisors (see below), whose sum is σ = 63898329600. Its totient is φ = 11312929152.

The previous prime is 29352960727. The next prime is 29352960743. The reversal of 29352960740 is 4706925392.

It is not an unprimeable number, because it can be changed into a prime (29352960743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230501 + ... + 334419.

It is an arithmetic number, because the mean of its divisors is an integer number (1331215200).

Almost surely, 229352960740 is an apocalyptic number.

29352960740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29352960740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31949164800).

29352960740 is an abundant number, since it is smaller than the sum of its proper divisors (34545368860).

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

29352960740 is a wasteful number, since it uses less digits than its factorization.

29352960740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104444 (or 104442 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 29352960740 in words is "twenty-nine billion, three hundred fifty-two million, nine hundred sixty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 487 580 974 1948 2435 4870 9740 14123 28246 56492 70615 103919 141230 207838 282460 415676 519595 1039190 2078380 3013651 6027302 12054604 15068255 30136510 50608553 60273020 101217106 202434212 253042765 506085530 1012171060 1467648037 2935296074 5870592148 7338240185 14676480370 29352960740