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1945446912 = 29323113619
BaseRepresentation
bin111001111110101…
…0010101000000000
312000120200221110100
41303331102220000
512441013300122
6521013402400
766132011613
oct16375225000
95016627410
101945446912
11909177072
12463639400
13250086726
1414653817a
15b5bd8aac
hex73f52a00

1945446912 has 120 divisors (see below), whose sum is σ = 5796236160. Its totient is φ = 627517440.

The previous prime is 1945446883. The next prime is 1945446913. The reversal of 1945446912 is 2196445491.

1945446912 is a `hidden beast` number, since 1 + 94 + 544 + 6 + 9 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945446913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136039 + ... + 149657.

It is an arithmetic number, because the mean of its divisors is an integer number (48301968).

Almost surely, 21945446912 is an apocalyptic number.

1945446912 is a gapful number since it is divisible by the number (12) 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 1945446912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898118080).

1945446912 is an abundant number, since it is smaller than the sum of its proper divisors (3850789248).

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

1945446912 is a wasteful number, since it uses less digits than its factorization.

1945446912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13674 (or 13655 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1945446912 is about 44107.2206333612. The cubic root of 1945446912 is about 1248.3598567788.

It can be divided in two parts, 19454 and 46912, that added together give a palindrome (66366).

The spelling of 1945446912 in words is "one billion, nine hundred forty-five million, four hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1116 1152 1488 1536 1984 2232 2304 2976 3968 4464 4608 5952 7936 8928 11904 13619 15872 17856 23808 27238 35712 40857 47616 54476 71424 81714 108952 122571 142848 163428 217904 245142 326856 422189 435808 490284 653712 844378 871616 980568 1266567 1307424 1688756 1743232 1961136 2533134 2614848 3377512 3486464 3799701 3922272 5066268 5229696 6755024 6972928 7599402 7844544 10132536 10459392 13510048 15198804 15689088 20265072 20918784 27020096 30397608 31378176 40530144 54040192 60795216 62756352 81060288 108080384 121590432 162120576 216160768 243180864 324241152 486361728 648482304 972723456 1945446912