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249873132012 = 223710738337253
BaseRepresentation
bin1110100010110110011…
…0010110100111101100
3212212222002101021221220
43220231212112213230
513043220010211022
6310442400223340
724024042402150
oct3505546264754
9785862337856
10249873132012
1196a74961479
124051600ab50
131a7419cbb8a
14c145a29060
156776b0885c
hex3a2d9969ec

249873132012 has 96 divisors (see below), whose sum is σ = 672823936512. Its totient is φ = 70696905216.

The previous prime is 249873132011. The next prime is 249873132023. The reversal of 249873132012 is 210231378942.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (249873132011) 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, 34447378 + ... + 34454630.

It is an arithmetic number, because the mean of its divisors is an integer number (7008582672).

Almost surely, 2249873132012 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 249873132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336411968256).

249873132012 is an abundant number, since it is smaller than the sum of its proper divisors (422950804500).

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

249873132012 is a wasteful number, since it uses less digits than its factorization.

249873132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207 (or 11205 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 249873132012 in words is "two hundred forty-nine billion, eight hundred seventy-three million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 3833 4494 7253 7666 8988 11499 14506 15332 21759 22998 26831 29012 43518 45996 50771 53662 80493 87036 101542 107324 152313 160986 203084 304626 321972 410131 609252 776071 820262 1230393 1552142 1640524 2328213 2460786 2870917 3104284 4656426 4921572 5432497 5741834 8612751 9312852 10864994 11483668 16297491 17225502 21729988 27800749 32594982 34451004 55601498 65189964 83402247 111202996 166804494 194605243 333608988 389210486 583815729 778420972 1167631458 2335262916 2974680143 5949360286 8924040429 11898720572 17848080858 20822761001 35696161716 41645522002 62468283003 83291044004 124936566006 249873132012