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1999607472 = 24349531619
BaseRepresentation
bin111011100101111…
…1001011010110000
312011100121120210000
41313023321122300
513043344414342
6530230310000
7100360245252
oct16713713260
95140546700
101999607472
119367a9765
124797b8300
1325b36a7b5
1414d7d5cd2
15ba83644c
hex772f96b0

1999607472 has 100 divisors (see below), whose sum is σ = 5797095480. Its totient is φ = 665425152.

The previous prime is 1999607471. The next prime is 1999607483. The reversal of 1999607472 is 2747069991.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1999607471) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1234279 + ... + 1235897.

Almost surely, 21999607472 is an apocalyptic number.

1999607472 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 1999607472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898547740).

1999607472 is an abundant number, since it is smaller than the sum of its proper divisors (3797488008).

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

1999607472 is a wasteful number, since it uses less digits than its factorization.

1999607472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 1999607472 is about 44716.9707381884. The cubic root of 1999607472 is about 1259.8386187869.

The spelling of 1999607472 in words is "one billion, nine hundred ninety-nine million, six hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 953 1296 1619 1906 2859 3238 3812 4857 5718 6476 7624 8577 9714 11436 12952 14571 15248 17154 19428 22872 25731 25904 29142 34308 38856 43713 45744 51462 58284 68616 77193 77712 87426 102924 116568 131139 137232 154386 174852 205848 233136 262278 308772 349704 411696 524556 617544 699408 1049112 1235088 1542907 2098224 3085814 4628721 6171628 9257442 12343256 13886163 18514884 24686512 27772326 37029768 41658489 55544652 74059536 83316978 111089304 124975467 166633956 222178608 249950934 333267912 499901868 666535824 999803736 1999607472