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1427016533008 = 241167138187629
BaseRepresentation
bin10100110001000000110…
…100000100010000010000
312001102101020100212112111
4110301000310010100100
5141340012213024013
63011321244435104
7205045541252263
oct24610064042020
95042336325474
101427016533008
115002156a3420
121b0694b48a94
13a474ab55a91
144d0d4712cda
15271bedad73d
hex14c40d04410

1427016533008 has 80 divisors (see below), whose sum is σ = 3063463479360. Its totient is φ = 638492659200.

The previous prime is 1427016532999. The next prime is 1427016533009. The reversal of 1427016533008 is 8003356107241.

It is not an unprimeable number, because it can be changed into a prime (1427016533009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16240938 + ... + 16328566.

It is an arithmetic number, because the mean of its divisors is an integer number (38293293492).

Almost surely, 21427016533008 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 1427016533008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531731739680).

1427016533008 is an abundant number, since it is smaller than the sum of its proper divisors (1636446946352).

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

1427016533008 is a wasteful number, since it uses less digits than its factorization.

1427016533008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89096 (or 89090 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 1427016533008 in words is "one trillion, four hundred twenty-seven billion, sixteen million, five hundred thirty-three thousand, eight".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1381 1474 2762 2948 5524 5896 11048 11792 15191 22096 30382 60764 87629 92527 121528 175258 185054 243056 350516 370108 701032 740216 963919 1017797 1402064 1480432 1927838 2035594 3855676 4071188 5871143 7711352 8142376 11742286 15422704 16284752 23484572 46969144 64582573 93938288 121015649 129165146 242031298 258330292 484062596 516660584 968125192 1033321168 1331172139 1936250384 2662344278 5324688556 8108048483 10649377112 16216096966 21298754224 32432193932 64864387864 89188533313 129728775728 178377066626 356754133252 713508266504 1427016533008