Search a number
-
+
29997923269020 = 22357737963122869
BaseRepresentation
bin1101101001000011011111…
…00011110111100110011100
310221012202212211221220010220
412310201233203313212130
512412441221324102040
6143444504455401340
76214164334435020
oct664415743674634
9127182784856126
1029997923269020
119616058706363
12344596b983250
131397a3b10a755
14759c9b63a380
153704ac80b2d0
hex1b486f8f799c

29997923269020 has 192 divisors, whose sum is σ = 97321344046080. Its totient is φ = 6761836910592.

The previous prime is 29997923268923. The next prime is 29997923269037. The reversal of 29997923269020 is 2096232979992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244084146 + ... + 244207014.

It is an arithmetic number, because the mean of its divisors is an integer number (506882000240).

Almost surely, 229997923269020 is an apocalyptic number.

29997923269020 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 29997923269020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48660672023040).

29997923269020 is an abundant number, since it is smaller than the sum of its proper divisors (67323420777060).

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

29997923269020 is a wasteful number, since it uses less digits than its factorization.

29997923269020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130924 (or 130922 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 69.

The spelling of 29997923269020 in words is "twenty-nine trillion, nine hundred ninety-seven billion, nine hundred twenty-three million, two hundred sixty-nine thousand, twenty".