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1939905216 = 26328340577
BaseRepresentation
bin111001110100000…
…1001101011000000
312000012021101200100
41303220021223000
512433103431331
6520254522400
766033631224
oct16350115300
95005241610
101939905216
11906031557
12461806400
1324bb96212
141458d4784
15b5491ae6
hex73a09ac0

1939905216 has 84 divisors (see below), whose sum is σ = 5627519352. Its totient is φ = 638828544.

The previous prime is 1939905179. The next prime is 1939905221. The reversal of 1939905216 is 6125099391.

It is a happy number.

1939905216 is a `hidden beast` number, since 1 + 9 + 39 + 90 + 521 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27520 + ... + 68096.

It is an arithmetic number, because the mean of its divisors is an integer number (66994278).

Almost surely, 21939905216 is an apocalyptic number.

1939905216 is a gapful number since it is divisible by the number (16) 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 1939905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813759676).

1939905216 is an abundant number, since it is smaller than the sum of its proper divisors (3687614136).

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

1939905216 is a wasteful number, since it uses less digits than its factorization.

1939905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40678 (or 40665 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1939905216 is about 44044.3550980145. The cubic root of 1939905216 is about 1247.1733924631.

The spelling of 1939905216 in words is "one billion, nine hundred thirty-nine million, nine hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1328 1494 1992 2656 2988 3984 5312 5976 7968 11952 15936 23904 40577 47808 81154 121731 162308 243462 324616 365193 486924 649232 730386 973848 1298464 1460772 1947696 2596928 2921544 3367891 3895392 5843088 6735782 7790784 10103673 11686176 13471564 20207346 23372352 26943128 30311019 40414692 53886256 60622038 80829384 107772512 121244076 161658768 215545024 242488152 323317536 484976304 646635072 969952608 1939905216