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2030815880352 = 253472234311613
BaseRepresentation
bin11101100011010110000…
…011110010010010100000
321012010220001100202210000
4131203112003302102200
5231233102331132402
64152535520140000
7266502340110600
oct35432603622240
97163801322700
102030815880352
1171329a6918a6
12289704167600
1311967497c5bc
14704133d8c00
1537c5d568c1c
hex1d8d60f24a0

2030815880352 has 720 divisors, whose sum is σ = 7271086217472. Its totient is φ = 553374581760.

The previous prime is 2030815880279. The next prime is 2030815880411. The reversal of 2030815880352 is 2530885180302.

2030815880352 is a `hidden beast` number, since 2 + 0 + 30 + 8 + 1 + 588 + 0 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2030815880298 and 2030815880307.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1259029498 + ... + 1259031110.

Almost surely, 22030815880352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030815880352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635543108736).

2030815880352 is an abundant number, since it is smaller than the sum of its proper divisors (5240270337120).

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

2030815880352 is a wasteful number, since it uses less digits than its factorization.

2030815880352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2030815880352 in words is "two trillion, thirty billion, eight hundred fifteen million, eight hundred eighty thousand, three hundred fifty-two".