Search a number
-
+
29479903488 = 283274314241
BaseRepresentation
bin11011011101001000…
…111010000100000000
32211002111122021002100
4123131020322010000
5440333323402423
621313132350400
72062353021330
oct333510720400
984074567070
1029479903488
1111558700902
125868915400
132a1a6c4999
1415d93410c0
15b78141343
hex6dd23a100

29479903488 has 216 divisors, whose sum is σ = 97388718336. Its totient is φ = 8401305600.

The previous prime is 29479903457. The next prime is 29479903501. The reversal of 29479903488 is 88430997492.

29479903488 is a `hidden beast` number, since 29 + 47 + 9 + 90 + 3 + 488 = 666.

It is a super-2 number, since 2×294799034882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6949048 + ... + 6953288.

It is an arithmetic number, because the mean of its divisors is an integer number (450873696).

Almost surely, 229479903488 is an apocalyptic number.

29479903488 is a gapful number since it is divisible by the number (28) 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 29479903488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48694359168).

29479903488 is an abundant number, since it is smaller than the sum of its proper divisors (67908814848).

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

29479903488 is a wasteful number, since it uses less digits than its factorization.

29479903488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 29479903488 in words is "twenty-nine billion, four hundred seventy-nine million, nine hundred three thousand, four hundred eighty-eight".