Search a number
-
+
29415324160 = 29511490361
BaseRepresentation
bin11011011001010010…
…100011101000000000
32210221000010021220101
4123121102203220000
5440220310333120
621302504252144
72060640062365
oct333122435000
983830107811
1029415324160
1111525202462
12584b171054
132a0a203571
1415d093046c
15b7263690a
hex6d94a3a00

29415324160 has 40 divisors (see below), whose sum is σ = 70527841956. Its totient is φ = 11766128640.

The previous prime is 29415324091. The next prime is 29415324181. The reversal of 29415324160 is 6142351492.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28693649664 + 721674496 = 169392^2 + 26864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×294153241602 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5742621 + ... + 5747740.

Almost surely, 229415324160 is an apocalyptic number.

29415324160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29415324160 is an abundant number, since it is smaller than the sum of its proper divisors (41112517796).

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

29415324160 is an equidigital number, since it uses as much as digits as its factorization.

29415324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11490384 (or 11490368 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 29415324160 in words is "twenty-nine billion, four hundred fifteen million, three hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 11490361 22980722 45961444 57451805 91922888 114903610 183845776 229807220 367691552 459614440 735383104 919228880 1470766208 1838457760 2941532416 3676915520 5883064832 7353831040 14707662080 29415324160