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30644112520 = 2357349557563
BaseRepresentation
bin11100100010100010…
…000000110010001000
32221002122022012122101
4130202202000302020
51000224343100040
622024441403144
72133250441630
oct344242006210
987078265571
1030644112520
1111aa589132a
125b327994b4
132b74967378
1416a9bd56c0
15be545c09a
hex722880c88

30644112520 has 128 divisors (see below), whose sum is σ = 79307424000. Its totient is φ = 10439064576.

The previous prime is 30644112517. The next prime is 30644112533. The reversal of 30644112520 is 2521144603.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54429759 + ... + 54430321.

It is an arithmetic number, because the mean of its divisors is an integer number (619589250).

Almost surely, 230644112520 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 30644112520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39653712000).

30644112520 is an abundant number, since it is smaller than the sum of its proper divisors (48663311480).

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

30644112520 is a wasteful number, since it uses less digits than its factorization.

30644112520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 30644112520 in words is "thirty billion, six hundred forty-four million, one hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 349 557 563 698 1114 1126 1396 1745 2228 2252 2443 2785 2792 2815 3490 3899 3941 4456 4504 4886 5570 5630 6980 7798 7882 9772 11140 11260 12215 13960 15596 15764 19495 19544 19705 22280 22520 24430 31192 31528 38990 39410 48860 77980 78820 97720 155960 157640 194393 196487 313591 388786 392974 627182 777572 785948 971965 982435 1254364 1360751 1375409 1555144 1567955 1571896 1943930 1964870 2195137 2508728 2721502 2750818 3135910 3887860 3929740 4390274 5443004 5501636 6271820 6803755 6877045 7775720 7859480 8780548 10886008 10975685 11003272 12543640 13607510 13754090 17561096 21951370 27215020 27508180 43902740 54430040 55016360 87805480 109443259 218886518 437773036 547216295 766102813 875546072 1094432590 1532205626 2188865180 3064411252 3830514065 4377730360 6128822504 7661028130 15322056260 30644112520