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30650416992 = 25321310379481
BaseRepresentation
bin11100100010111010…
…000011111101100000
32221010002011111202100
4130202322003331200
51000233001320432
622025224450400
72133355150206
oct344272037540
987102144670
1030650416992
1111aa93a7a38
125b34919a00
132b76063b20
1416aa997076
15be5ca507c
hex722e83f60

30650416992 has 144 divisors (see below), whose sum is σ = 94779423648. Its totient is φ = 9339217920.

The previous prime is 30650416969. The next prime is 30650416997. The reversal of 30650416992 is 29961405603.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30650416997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345892 + ... + 425372.

It is an arithmetic number, because the mean of its divisors is an integer number (658190442).

Almost surely, 230650416992 is an apocalyptic number.

30650416992 is a gapful number since it is divisible by the number (32) 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 30650416992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47389711824).

30650416992 is an abundant number, since it is smaller than the sum of its proper divisors (64129006656).

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

30650416992 is a wasteful number, since it uses less digits than its factorization.

30650416992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79613 (or 79602 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 30650416992 in words is "thirty billion, six hundred fifty million, four hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 103 104 117 144 156 206 208 234 288 309 312 412 416 468 618 624 824 927 936 1236 1248 1339 1648 1854 1872 2472 2678 3296 3708 3744 4017 4944 5356 7416 8034 9888 10712 12051 14832 16068 21424 24102 29664 32136 42848 48204 64272 79481 96408 128544 158962 192816 238443 317924 385632 476886 635848 715329 953772 1033253 1271696 1430658 1907544 2066506 2543392 2861316 3099759 3815088 4133012 5722632 6199518 7630176 8186543 8266024 9299277 11445264 12399036 16373086 16532048 18598554 22890528 24559629 24798072 32746172 33064096 37197108 49119258 49596144 65492344 73678887 74394216 98238516 99192288 106425059 130984688 147357774 148788432 196477032 212850118 261969376 294715548 297576864 319275177 392954064 425700236 589431096 638550354 785908128 851400472 957825531 1178862192 1277100708 1702800944 1915651062 2357724384 2554201416 3405601888 3831302124 5108402832 7662604248 10216805664 15325208496 30650416992