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249645006996 = 2237112103238463
BaseRepresentation
bin1110100010000000000…
…0001000000010010100
3212212101012010100021020
43220200000020002110
513042233110210441
6310404010521140
724015302355510
oct3504000100224
9785335110236
10249645006996
1196968109800
12404717361b0
131a706678168
14c123605140
156761a95e66
hex3a20008094

249645006996 has 144 divisors (see below), whose sum is σ = 738849226752. Its totient is φ = 64213047360.

The previous prime is 249645006983. The next prime is 249645007009. The reversal of 249645006996 is 699600546942.

It is an interprime number because it is at equal distance from previous prime (249645006983) and next prime (249645007009).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927661 + ... + 1166123.

It is an arithmetic number, because the mean of its divisors is an integer number (5130897408).

Almost surely, 2249645006996 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 249645006996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369424613376).

249645006996 is an abundant number, since it is smaller than the sum of its proper divisors (489204219756).

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

249645006996 is a wasteful number, since it uses less digits than its factorization.

249645006996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238602 (or 238589 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 249645006996 in words is "two hundred forty-nine billion, six hundred forty-five million, six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 103 121 132 154 206 231 242 308 309 363 412 462 484 618 721 726 847 924 1133 1236 1442 1452 1694 2163 2266 2541 2884 3388 3399 4326 4532 5082 6798 7931 8652 10164 12463 13596 15862 23793 24926 31724 37389 47586 49852 74778 87241 95172 149556 174482 238463 261723 348964 476926 523446 715389 953852 1046892 1430778 1669241 2623093 2861556 3338482 5007723 5246186 6676964 7869279 10015446 10492372 15738558 18361651 20030892 24561689 28854023 31477116 36723302 49123378 55084953 57708046 73446604 73685067 86562069 98246756 110169906 115416092 147370134 171931823 173124138 201978161 220339812 270178579 294740268 343863646 346248276 403956322 515795469 540357158 605934483 687727292 807912644 810535737 1031590938 1080714316 1211868966 1621071474 1891250053 2063181876 2423737932 2971964369 3242142948 3782500106 5673750159 5943928738 7565000212 8915893107 11347500318 11887857476 17831786214 20803750583 22695000636 35663572428 41607501166 62411251749 83215002332 124822503498 249645006996