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29683680792480 = 25325111331371091153
BaseRepresentation
bin1101011111111010001010…
…01111111100111110100000
310220002201202202022002112200
412233331011033330332200
512342314134240324410
6143044254504453200
76152401165445211
oct657750517747640
9126081682262480
1029683680792480
119504861a566a0
1233b4a9077a200
13137420b692b40
147489aab43408
15367219abe3c0
hex1aff453fcfa0

29683680792480 has 2304 divisors, whose sum is σ = 127431414190080. Its totient is φ = 6191736422400.

The previous prime is 29683680792461. The next prime is 29683680792481. The reversal of 29683680792480 is 8429708638692.

29683680792480 is a `hidden beast` number, since 2 + 9 + 6 + 83 + 68 + 0 + 7 + 9 + 2 + 480 = 666.

It is a super-2 number, since 2×296836807924802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 29683680792399 and 29683680792408.

It is not an unprimeable number, because it can be changed into a prime (29683680792481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25744735584 + ... + 25744736736.

It is an arithmetic number, because the mean of its divisors is an integer number (55308773520).

Almost surely, 229683680792480 is an apocalyptic number.

29683680792480 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 29683680792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63715707095040).

29683680792480 is an abundant number, since it is smaller than the sum of its proper divisors (97747733397600).

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

29683680792480 is a wasteful number, since it uses less digits than its factorization.

29683680792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 29683680792480 in words is "twenty-nine trillion, six hundred eighty-three billion, six hundred eighty million, seven hundred ninety-two thousand, four hundred eighty".