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1955444112 = 243323319427
BaseRepresentation
bin111010010001101…
…1011010110010000
312001021111212001000
41310203123112100
513001043202422
6522011542000
766313000146
oct16443332620
95037455030
101955444112
11913885116
12466a5a900
13252176c2b
141479bb596
15b6a10cac
hex748db590

1955444112 has 80 divisors (see below), whose sum is σ = 5637228480. Its totient is φ = 648983808.

The previous prime is 1955444093. The next prime is 1955444137. The reversal of 1955444112 is 2114445591.

1955444112 is a `hidden beast` number, since 195 + 54 + 4 + 411 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90943 + ... + 110369.

It is an arithmetic number, because the mean of its divisors is an integer number (70465356).

Almost surely, 21955444112 is an apocalyptic number.

1955444112 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 1955444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818614240).

1955444112 is an abundant number, since it is smaller than the sum of its proper divisors (3681784368).

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

1955444112 is a wasteful number, since it uses less digits than its factorization.

1955444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19677 (or 19665 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1955444112 is about 44220.4037973422. The cubic root of 1955444112 is about 1250.4945482052.

The spelling of 1955444112 in words is "one billion, nine hundred fifty-five million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 233 432 466 699 932 1398 1864 2097 2796 3728 4194 5592 6291 8388 11184 12582 16776 19427 25164 33552 38854 50328 58281 77708 100656 116562 155416 174843 233124 310832 349686 466248 524529 699372 932496 1049058 1398744 2098116 2797488 4196232 4526491 8392464 9052982 13579473 18105964 27158946 36211928 40738419 54317892 72423856 81476838 108635784 122215257 162953676 217271568 244430514 325907352 488861028 651814704 977722056 1955444112