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1009955412 = 223319577853
BaseRepresentation
bin111100001100101…
…011001001010100
32121101102001101000
4330030223021110
54032022033122
6244114503300
734012323264
oct7414531124
92541361330
101009955412
114791034a4
12242294b30
1313131466b
14981bd7a4
155d9eb0ac
hex3c32b254

1009955412 has 96 divisors (see below), whose sum is σ = 2764227200. Its totient is φ = 318007296.

The previous prime is 1009955383. The next prime is 1009955413. The reversal of 1009955412 is 2145599001.

1009955412 is a `hidden beast` number, since 1 + 0 + 0 + 99 + 554 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009955413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183578 + ... + 1184430.

Almost surely, 21009955412 is an apocalyptic number.

1009955412 is a gapful number since it is divisible by the number (12) 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 1009955412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382113600).

1009955412 is an abundant number, since it is smaller than the sum of its proper divisors (1754271788).

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

1009955412 is a wasteful number, since it uses less digits than its factorization.

1009955412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1009955412 is about 31779.7956569894. The cubic root of 1009955412 is about 1003.3075189242.

The spelling of 1009955412 in words is "one billion, nine million, nine hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 577 684 853 1026 1154 1706 1731 2052 2308 2559 3412 3462 5118 5193 6924 7677 10236 10386 10963 15354 15579 16207 20772 21926 23031 30708 31158 32414 32889 43852 46062 48621 62316 64828 65778 92124 97242 98667 131556 145863 194484 197334 291726 296001 394668 437589 492181 583452 592002 875178 984362 1184004 1476543 1750356 1968724 2953086 4429629 5906172 8859258 9351439 13288887 17718516 18702878 26577774 28054317 37405756 53155548 56108634 84162951 112217268 168325902 252488853 336651804 504977706 1009955412