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1468999680 = 2113547819
BaseRepresentation
bin101011110001111…
…0010100000000000
310210101011220201120
41113203302200000
511002030442210
6401433432240
751255201621
oct12743624000
93711156646
101468999680
11694237225
1234bb6b680
131a5459ba5
14dd153a48
1588e74270
hex578f2800

1468999680 has 96 divisors (see below), whose sum is σ = 4699749600. Its totient is φ = 391725056.

The previous prime is 1468999667. The next prime is 1468999681. The reversal of 1468999680 is 869998641.

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

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (1468999681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6811 + ... + 54629.

It is an arithmetic number, because the mean of its divisors is an integer number (48955725).

Almost surely, 21468999680 is an apocalyptic number.

1468999680 is a gapful number since it is divisible by the number (10) 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 1468999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349874800).

1468999680 is an abundant number, since it is smaller than the sum of its proper divisors (3230749920).

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

1468999680 is an equidigital number, since it uses as much as digits as its factorization.

1468999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47849 (or 47829 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The square root of 1468999680 is about 38327.5316189290. The cubic root of 1468999680 is about 1136.7733938689.

The spelling of 1468999680 in words is "one billion, four hundred sixty-eight million, nine hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 47819 95638 143457 191276 239095 286914 382552 478190 573828 717285 765104 956380 1147656 1434570 1530208 1912760 2295312 2869140 3060416 3825520 4590624 5738280 6120832 7651040 9181248 11476560 12241664 15302080 18362496 22953120 24483328 30604160 36724992 45906240 48966656 61208320 73449984 91812480 97933312 122416640 146899968 183624960 244833280 293799936 367249920 489666560 734499840 1468999680