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30696057840 = 2435732811327
BaseRepresentation
bin11100100101101000…
…001010101111110000
32221020021001022020010
4130211220022233300
51000331142322330
622033535014520
72134451121000
oct344550125760
987207038203
1030696057840
1112022140648
125b4806a440
132b82654046
1416b2a78000
15be9cbd3b0
hex725a0abf0

30696057840 has 320 divisors, whose sum is σ = 111450009600. Its totient is φ = 6986004480.

The previous prime is 30696057809. The next prime is 30696057857. The reversal of 30696057840 is 4875069603.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30696057840.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23131257 + ... + 23132583.

It is an arithmetic number, because the mean of its divisors is an integer number (348281280).

Almost surely, 230696057840 is an apocalyptic number.

30696057840 is a gapful number since it is divisible by the number (30) 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 30696057840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55725004800).

30696057840 is an abundant number, since it is smaller than the sum of its proper divisors (80753951760).

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

30696057840 is a wasteful number, since it uses less digits than its factorization.

30696057840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 30696057840 in words is "thirty billion, six hundred ninety-six million, fifty-seven thousand, eight hundred forty".