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30805354368 = 2732181147739
BaseRepresentation
bin11100101100001001…
…000110011110000000
32221111212201010212200
4130230021012132000
51001042132314433
622052441353200
72140246122525
oct345411063600
987455633780
1030805354368
1112078901758
125b78798800
132b9c1a1149
1416c33a914c
15c046ac613
hex72c246780

30805354368 has 96 divisors (see below), whose sum is σ = 89135974200. Its totient is φ = 10211650560.

The previous prime is 30805354361. The next prime is 30805354421. The reversal of 30805354368 is 86345350803.

30805354368 is a `hidden beast` number, since 3 + 0 + 80 + 535 + 4 + 36 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30805354361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134643 + ... + 282381.

Almost surely, 230805354368 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 30805354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44567987100).

30805354368 is an abundant number, since it is smaller than the sum of its proper divisors (58330619832).

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

30805354368 is a wasteful number, since it uses less digits than its factorization.

30805354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147940 (or 147925 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 30805354368 in words is "thirty billion, eight hundred five million, three hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 288 362 384 543 576 724 1086 1152 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 23168 26064 34752 52128 69504 104256 147739 208512 295478 443217 590956 886434 1181912 1329651 1772868 2363824 2659302 3545736 4727648 5318604 7091472 9455296 10637208 14182944 18910592 21274416 26740759 28365888 42548832 53481518 56731776 80222277 85097664 106963036 160444554 170195328 213926072 240666831 320889108 427852144 481333662 641778216 855704288 962667324 1283556432 1711408576 1925334648 2567112864 3422817152 3850669296 5134225728 7701338592 10268451456 15402677184 30805354368