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30025504416 = 2534119738723
BaseRepresentation
bin11011111101101010…
…001101011010100000
32212111112021122212010
4123331222031122200
5442443012120131
621443222432520
72112026401515
oct337552153240
985445248763
1030025504416
1111808683966
12599b592740
132aa6754a7b
14164b9a730c
15baaeb5b46
hex6fda8d6a0

30025504416 has 96 divisors (see below), whose sum is σ = 81151253568. Its totient is φ = 9714575360.

The previous prime is 30025504373. The next prime is 30025504427. The reversal of 30025504416 is 61440552003.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756031 + ... + 794753.

It is an arithmetic number, because the mean of its divisors is an integer number (845325558).

Almost surely, 230025504416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30025504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40575626784).

30025504416 is an abundant number, since it is smaller than the sum of its proper divisors (51125749152).

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

30025504416 is a wasteful number, since it uses less digits than its factorization.

30025504416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38974 (or 38966 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 30025504416 in words is "thirty billion, twenty-five million, five hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 197 246 328 394 492 591 656 788 984 1182 1312 1576 1968 2364 3152 3936 4728 6304 8077 9456 16154 18912 24231 32308 38723 48462 64616 77446 96924 116169 129232 154892 193848 232338 258464 309784 387696 464676 619568 775392 929352 1239136 1587643 1858704 3175286 3717408 4762929 6350572 7628431 9525858 12701144 15256862 19051716 22885293 25402288 30513724 38103432 45770586 50804576 61027448 76206864 91541172 122054896 152413728 183082344 244109792 312765671 366164688 625531342 732329376 938297013 1251062684 1876594026 2502125368 3753188052 5004250736 7506376104 10008501472 15012752208 30025504416