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30152496420 = 223251761672411
BaseRepresentation
bin11100000101001110…
…101001010100100100
32212211101020112010200
4130011032221110210
5443223014341140
621504000350500
72115130663554
oct340516512444
985741215120
1030152496420
1111873330932
125a16015430
132ac6b59377
1416607c3164
15bb71ed030
hex7053a9524

30152496420 has 288 divisors, whose sum is σ = 99940853376. Its totient is φ = 7329484800.

The previous prime is 30152496397. The next prime is 30152496427. The reversal of 30152496420 is 2469425103.

It is a happy number.

30152496420 is a `hidden beast` number, since 3 + 0 + 1 + 5 + 2 + 4 + 9 + 642 + 0 = 666.

It is a super-2 number, since 2×301524964202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30152496427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12505015 + ... + 12507425.

It is an arithmetic number, because the mean of its divisors is an integer number (347016852).

Almost surely, 230152496420 is an apocalyptic number.

30152496420 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 30152496420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49970426688).

30152496420 is an abundant number, since it is smaller than the sum of its proper divisors (69788356956).

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

30152496420 is a wasteful number, since it uses less digits than its factorization.

30152496420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 30152496420 in words is "thirty billion, one hundred fifty-two million, four hundred ninety-six thousand, four hundred twenty".