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1981863108 = 2232312716553
BaseRepresentation
bin111011000100000…
…1101010011000100
312010010020002002100
41312020031103010
513024324104413
6524354112100
7100053362361
oct16610152304
95103202070
101981863108
1192778a0a5
1247387b630
13257796c84
1414b2d7468
15b8ecda73
hex7620d4c4

1981863108 has 72 divisors (see below), whose sum is σ = 5191187456. Its totient is φ = 636854400.

The previous prime is 1981863097. The next prime is 1981863109. The reversal of 1981863108 is 8013681891.

1981863108 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 8 + 631 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1981863109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299160 + ... + 305712.

Almost surely, 21981863108 is an apocalyptic number.

1981863108 is a gapful number since it is divisible by the number (18) 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 1981863108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595593728).

1981863108 is an abundant number, since it is smaller than the sum of its proper divisors (3209324348).

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

1981863108 is a wasteful number, since it uses less digits than its factorization.

1981863108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1981863108 is about 44518.1211193824. The cubic root of 1981863108 is about 1256.1009704552.

The spelling of 1981863108 in words is "one billion, nine hundred eighty-one million, eight hundred sixty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 271 279 372 542 558 813 1084 1116 1626 2439 3252 4878 6553 8401 9756 13106 16802 19659 25203 26212 33604 39318 50406 58977 75609 78636 100812 117954 151218 203143 235908 302436 406286 609429 812572 1218858 1775863 1828287 2437716 3551726 3656574 5327589 7103452 7313148 10655178 15982767 21310356 31965534 55051753 63931068 110103506 165155259 220207012 330310518 495465777 660621036 990931554 1981863108