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249553228152 = 233172295235107
BaseRepresentation
bin1110100001101010001…
…0000001000101111000
3212212010210102111100210
43220122202001011320
513042041111300102
6310350531431120
724013106303634
oct3503242010570
9785123374323
10249553228152
1196920322a18
1240446a554a0
131a6c0652657
14c115353dc4
1567589b736c
hex3a1a881178

249553228152 has 128 divisors (see below), whose sum is σ = 664865452800. Its totient is φ = 77785049088.

The previous prime is 249553228091. The next prime is 249553228163. The reversal of 249553228152 is 251822355942.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48862383 + ... + 48867489.

It is an arithmetic number, because the mean of its divisors is an integer number (5194261350).

Almost surely, 2249553228152 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 249553228152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332432726400).

249553228152 is an abundant number, since it is smaller than the sum of its proper divisors (415312224648).

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

249553228152 is a wasteful number, since it uses less digits than its factorization.

249553228152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885 (or 5881 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 48.

The spelling of 249553228152 in words is "two hundred forty-nine billion, five hundred fifty-three million, two hundred twenty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 229 408 458 523 687 916 1046 1374 1569 1832 2092 2748 3138 3893 4184 5107 5496 6276 7786 8891 10214 11679 12552 15321 15572 17782 20428 23358 26673 30642 31144 35564 40856 46716 53346 61284 71128 86819 93432 106692 119767 122568 173638 213384 239534 260457 347276 359301 479068 520914 694552 718602 958136 1041828 1169503 1437204 2036039 2083656 2339006 2670961 2874408 3508509 4072078 4678012 5341922 6108117 7017018 8012883 8144156 9356024 10683844 12216234 14034036 16025766 16288312 19881551 21367688 24432468 28068072 32051532 39763102 45406337 48864936 59644653 64103064 79526204 90812674 119289306 136219011 159052408 181625348 238578612 272438022 363250696 477157224 544876044 611650069 1089752088 1223300138 1834950207 2446600276 3669900414 4893200552 7339800828 10398051173 14679601656 20796102346 31194153519 41592204692 62388307038 83184409384 124776614076 249553228152