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30715580640 = 2535263243311
BaseRepresentation
bin11100100110110010…
…101001000011100000
32221021121210011110210
4130212302221003200
51000401142040030
622035513254120
72135106061533
oct344662510340
987247704423
1030715580640
1112032165398
125b52704340
132b866cb1b4
1416b54baa1a
15beb877bb0
hex726ca90e0

30715580640 has 96 divisors (see below), whose sum is σ = 97122364416. Its totient is φ = 8159644160.

The previous prime is 30715580639. The next prime is 30715580669. The reversal of 30715580640 is 4608551703.

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

It is a congruent number.

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, 4585 + ... + 247895.

It is an arithmetic number, because the mean of its divisors is an integer number (1011691296).

Almost surely, 230715580640 is an apocalyptic number.

30715580640 is a gapful number since it is divisible by the number (30) 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 30715580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48561182208).

30715580640 is an abundant number, since it is smaller than the sum of its proper divisors (66406783776).

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

30715580640 is a wasteful number, since it uses less digits than its factorization.

30715580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243592 (or 243584 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 30715580640 in words is "thirty billion, seven hundred fifteen million, five hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 263 480 526 789 1052 1315 1578 2104 2630 3156 3945 4208 5260 6312 7890 8416 10520 12624 15780 21040 25248 31560 42080 63120 126240 243311 486622 729933 973244 1216555 1459866 1946488 2433110 2919732 3649665 3892976 4866220 5839464 7299330 7785952 9732440 11678928 14598660 19464880 23357856 29197320 38929760 58394640 63990793 116789280 127981586 191972379 255963172 319953965 383944758 511926344 639907930 767889516 959861895 1023852688 1279815860 1535779032 1919723790 2047705376 2559631720 3071558064 3839447580 5119263440 6143116128 7678895160 10238526880 15357790320 30715580640