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1912248096 = 253118572113
BaseRepresentation
bin111000111111010…
…1001011100100000
311221021020021020120
41301332221130200
512404013414341
6513430040240
765246561223
oct16176513440
94837207216
101912248096
118a1461330
124544a9080
13246231765
14141d755ba
15b2d2c066
hex71fa9720

1912248096 has 96 divisors (see below), whose sum is σ = 5484967488. Its totient is φ = 578519040.

The previous prime is 1912248073. The next prime is 1912248127. The reversal of 1912248096 is 6908422191.

1912248096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903936 + ... + 906048.

It is an arithmetic number, because the mean of its divisors is an integer number (57135078).

Almost surely, 21912248096 is an apocalyptic number.

1912248096 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 1912248096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742483744).

1912248096 is an abundant number, since it is smaller than the sum of its proper divisors (3572719392).

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

1912248096 is a wasteful number, since it uses less digits than its factorization.

1912248096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1912248096 is about 43729.2590378570. The cubic root of 1912248096 is about 1241.2180400452.

The spelling of 1912248096 in words is "one billion, nine hundred twelve million, two hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 857 1056 1714 2113 2571 3428 4226 5142 6339 6856 8452 9427 10284 12678 13712 16904 18854 20568 23243 25356 27424 28281 33808 37708 41136 46486 50712 56562 67616 69729 75416 82272 92972 101424 113124 139458 150832 185944 202848 226248 278916 301664 371888 452496 557832 743776 904992 1115664 1810841 2231328 3621682 5432523 7243364 10865046 14486728 19919251 21730092 28973456 39838502 43460184 57946912 59757753 79677004 86920368 119515506 159354008 173840736 239031012 318708016 478062024 637416032 956124048 1912248096