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1145962998 = 2331910910247
BaseRepresentation
bin100010001001110…
…0000000111110110
32221212022221201000
41010103200013312
54321331303443
6305413544130
740253344665
oct10423400766
92855287630
101145962998
11538958a64
1227b945046
1315355471b
14ac2a4ddc
156a9148d3
hex444e01f6

1145962998 has 64 divisors (see below), whose sum is σ = 2705472000. Its totient is φ = 358528032.

The previous prime is 1145962991. The next prime is 1145963003. The reversal of 1145962998 is 8992695411.

1145962998 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 9 + 629 + 9 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145962991) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 106711 + ... + 116957.

It is an arithmetic number, because the mean of its divisors is an integer number (42273000).

Almost surely, 21145962998 is an apocalyptic number.

1145962998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145962998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352736000).

1145962998 is an abundant number, since it is smaller than the sum of its proper divisors (1559509002).

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

1145962998 is a wasteful number, since it uses less digits than its factorization.

1145962998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10386 (or 10380 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 1145962998 is about 33852.0752391932. The cubic root of 1145962998 is about 1046.4621666048.

The spelling of 1145962998 in words is "one billion, one hundred forty-five million, nine hundred sixty-two thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 109 114 171 218 327 342 513 654 981 1026 1962 2071 2943 4142 5886 6213 10247 12426 18639 20494 30741 37278 55917 61482 92223 111834 184446 194693 276669 389386 553338 584079 1116923 1168158 1752237 2233846 3350769 3504474 5256711 6701538 10052307 10513422 20104614 21221537 30156921 42443074 60313842 63664611 127329222 190993833 381987666 572981499 1145962998