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1006389642380 = 22585958579141
BaseRepresentation
bin11101010010100010111…
…11110100010010001100
310120012200000122220000112
432221101133310102030
5112442041222024010
62050155022415152
7132465162550013
oct16512137642214
93505600586015
101006389642380
11358897797881
12143065a314b8
1373b95cba615
14369d0cc1a7a
151b2a26b8a05
hexea517f448c

1006389642380 has 24 divisors (see below), whose sum is σ = 2115878609040. Its totient is φ = 402087216960.

The previous prime is 1006389642373. The next prime is 1006389642389. The reversal of 1006389642380 is 832469836001.

It is a happy number.

1006389642380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10063896423802 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006389642389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29272391 + ... + 29306750.

It is an arithmetic number, because the mean of its divisors is an integer number (88161608710).

Almost surely, 21006389642380 is an apocalyptic number.

1006389642380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006389642380 is an abundant number, since it is smaller than the sum of its proper divisors (1109488966660).

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

1006389642380 is a wasteful number, since it uses less digits than its factorization.

1006389642380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58580009 (or 58580007 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 1006389642380 in words is "one trillion, six billion, three hundred eighty-nine million, six hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 859 1718 3436 4295 8590 17180 58579141 117158282 234316564 292895705 585791410 1171582820 50319482119 100638964238 201277928476 251597410595 503194821190 1006389642380