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30855780600 = 23352229224569
BaseRepresentation
bin11100101111001001…
…011101100011111000
32221122101121001122220
4130233021131203320
51001143034434400
622101442244040
72141430544011
oct345711354370
987571531586
1030855780600
11120a4313727
125b91656620
132ba9778558
1416c9d74008
15c08d1d7a0
hex72f25d8f8

30855780600 has 96 divisors (see below), whose sum is σ = 96071046000. Its totient is φ = 8192240640.

The previous prime is 30855780577. The next prime is 30855780601. The reversal of 30855780600 is 608755803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30855780601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25116 + ... + 249684.

Almost surely, 230855780600 is an apocalyptic number.

30855780600 is a gapful number since it is divisible by the number (30) 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 30855780600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48035523000).

30855780600 is an abundant number, since it is smaller than the sum of its proper divisors (65215265400).

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

30855780600 is a wasteful number, since it uses less digits than its factorization.

30855780600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224817 (or 224808 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 30855780600 in words is "thirty billion, eight hundred fifty-five million, seven hundred eighty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 229 300 458 600 687 916 1145 1374 1832 2290 2748 3435 4580 5496 5725 6870 9160 11450 13740 17175 22900 27480 34350 45800 68700 137400 224569 449138 673707 898276 1122845 1347414 1796552 2245690 2694828 3368535 4491380 5389656 5614225 6737070 8982760 11228450 13474140 16842675 22456900 26948280 33685350 44913800 51426301 67370700 102852602 134741400 154278903 205705204 257131505 308557806 411410408 514263010 617115612 771394515 1028526020 1234231224 1285657525 1542789030 2057052040 2571315050 3085578060 3856972575 5142630100 6171156120 7713945150 10285260200 15427890300 30855780600