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1981790368 = 25177275011
BaseRepresentation
bin111011000011111…
…1011100010100000
312010010002101022021
41312013323202200
513024314242433
6524352351224
7100052640325
oct16607734240
95103071267
101981790368
1192773a488
12473845514
1325776cb2c
1414b2b8b4c
15b8eb722d
hex761fb8a0

1981790368 has 48 divisors (see below), whose sum is σ = 4137666624. Its totient is φ = 931138560.

The previous prime is 1981790357. The next prime is 1981790399. The reversal of 1981790368 is 8630971891.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392983 + ... + 397993.

It is an arithmetic number, because the mean of its divisors is an integer number (86201388).

Almost surely, 21981790368 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 1981790368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068833312).

1981790368 is an abundant number, since it is smaller than the sum of its proper divisors (2155876256).

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

1981790368 is a wasteful number, since it uses less digits than its factorization.

1981790368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The square root of 1981790368 is about 44517.3041411988. The cubic root of 1981790368 is about 1256.0856027772.

The spelling of 1981790368 in words is "one billion, nine hundred eighty-one million, seven hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 727 1454 2908 5011 5816 10022 11632 12359 20044 23264 24718 40088 49436 80176 85187 98872 160352 170374 197744 340748 395488 681496 1362992 2725984 3642997 7285994 14571988 29143976 58287952 61930949 116575904 123861898 247723796 495447592 990895184 1981790368