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30826500800 = 2652131147073
BaseRepresentation
bin11100101101011001…
…110001001011000000
32221120100111111022212
4130231121301023000
51001113041011200
622054514521252
72140623635114
oct345531611300
987510444285
1030826500800
1112089835347
125b83896228
132ba3696324
1416c6111744
15c06488035
hex72d6712c0

30826500800 has 84 divisors (see below), whose sum is σ = 76432004616. Its totient is φ = 12236390400.

The previous prime is 30826500773. The next prime is 30826500811. The reversal of 30826500800 is 800562803.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136064 + ... + 283136.

Almost surely, 230826500800 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 30826500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38216002308).

30826500800 is an abundant number, since it is smaller than the sum of its proper divisors (45605503816).

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

30826500800 is a wasteful number, since it uses less digits than its factorization.

30826500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147226 (or 147211 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 30826500800 in words is "thirty billion, eight hundred twenty-six million, five hundred thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 131 160 200 262 320 400 524 655 800 1048 1310 1600 2096 2620 3275 4192 5240 6550 8384 10480 13100 20960 26200 41920 52400 104800 147073 209600 294146 588292 735365 1176584 1470730 2353168 2941460 3676825 4706336 5882920 7353650 9412672 11765840 14707300 19266563 23531680 29414600 38533126 47063360 58829200 77066252 96332815 117658400 154132504 192665630 235316800 308265008 385331260 481664075 616530016 770662520 963328150 1233060032 1541325040 1926656300 3082650080 3853312600 6165300160 7706625200 15413250400 30826500800