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242552553507012 = 223721096016296911
BaseRepresentation
bin110111001001100110101010…
…110010101000100011000100
31011210210210112111022101211010
4313021212222302220203010
5223242440112144211022
62215511034350042220
7102042562250242500
oct6711465262504304
91153723474271733
10242552553507012
1170314a62139321
12232543874a9370
13a5457b9020388
1443c786b6c1300
151d0953650b50c
hexdc99aaca88c4

242552553507012 has 144 divisors (see below), whose sum is σ = 665502494173440. Its totient is φ = 68550681024000.

The previous prime is 242552553506983. The next prime is 242552553507037. The reversal of 242552553507012 is 210705355255242.

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, 35370837 + ... + 41667747.

Almost surely, 2242552553507012 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 242552553507012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332751247086720).

242552553507012 is an abundant number, since it is smaller than the sum of its proper divisors (422949940666428).

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

242552553507012 is a wasteful number, since it uses less digits than its factorization.

242552553507012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6297642 (or 6297633 counting only the distinct ones).

The product of its (nonzero) digits is 4200000, while the sum is 48.

The spelling of 242552553507012 in words is "two hundred forty-two trillion, five hundred fifty-two billion, five hundred fifty-three million, five hundred seven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 109 147 196 218 294 327 436 588 601 654 763 1202 1308 1526 1803 2289 2404 3052 3606 4207 4578 5341 7212 8414 9156 10682 12621 16023 16828 21364 25242 29449 32046 50484 58898 64092 65509 88347 117796 131018 176694 196527 262036 353388 393054 458563 786108 917126 1375689 1834252 2751378 3209941 5502756 6296911 6419882 9629823 12593822 12839764 18890733 19259646 25187644 37781466 38519292 44078377 75562932 88156754 132235131 176313508 264470262 308548639 528940524 617097278 686363299 925645917 1234194556 1372726598 1851291834 2059089897 2745453196 3702583668 3784443511 4118179794 4804543093 7568887022 8236359588 9609086186 11353330533 14413629279 15137774044 19218172372 22706661066 26491104577 28827258558 33631801651 45413322132 52982209154 57654517116 67263603302 79473313731 100895404953 105964418308 134527206604 158946627462 185437732039 201790809906 317893254924 370875464078 403581619812 412504342699 556313196117 741750928156 825008685398 1112626392234 1237513028097 1650017370796 2225252784468 2475026056194 2887530398893 4950052112388 5775060797786 8662591196679 11550121595572 17325182393358 20212712792251 34650364786716 40425425584502 60638138376753 80850851169004 121276276753506 242552553507012