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3157149458268 = 22321373127972253
BaseRepresentation
bin101101111100010100110…
…001011001111101011100
3102011211011011200220022100
4231330110301121331130
5403211320230131033
610414212513445100
7444045051420021
oct55742461317534
912154134626270
103157149458268
111007a37620723
1242ba62b70790
1319b944354730
14acb41dcb548
15571d0d11513
hex2df14c59f5c

3157149458268 has 144 divisors (see below), whose sum is σ = 8719127173120. Its totient is φ = 957360964608.

The previous prime is 3157149458207. The next prime is 3157149458279. The reversal of 3157149458268 is 8628549417513.

It is a happy number.

3157149458268 is a `hidden beast` number, since 3 + 1 + 5 + 7 + 1 + 49 + 4 + 582 + 6 + 8 = 666.

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, 43659630 + ... + 43731882.

Almost surely, 23157149458268 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 3157149458268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359563586560).

3157149458268 is an abundant number, since it is smaller than the sum of its proper divisors (5561977714852).

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

3157149458268 is a wasteful number, since it uses less digits than its factorization.

3157149458268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73628 (or 73623 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 3157149458268 in words is "three trillion, one hundred fifty-seven billion, one hundred forty-nine million, four hundred fifty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 146 156 219 234 292 438 468 657 876 949 1279 1314 1898 2558 2628 2847 3796 3837 5116 5694 7674 8541 11388 11511 15348 16627 17082 23022 33254 34164 46044 49881 66508 72253 93367 99762 144506 149643 186734 199524 216759 280101 289012 299286 373468 433518 560202 598572 650277 840303 867036 939289 1120404 1213771 1300554 1680606 1878578 2427542 2601108 2817867 3361212 3641313 3757156 4855084 5274469 5635734 7282626 8453601 10548938 10923939 11271468 14565252 15823407 16907202 21097876 21847878 31646814 33814404 43695756 47470221 63293628 68568097 92411587 94940442 137136194 184823174 189880884 205704291 274272388 277234761 369646348 411408582 554469522 617112873 822817164 831704283 1108939044 1201350631 1234225746 1663408566 2402701262 2468451492 3326817132 3604051893 4805402524 6746045851 7208103786 10812155679 13492091702 14416207572 20238137553 21624311358 26984183404 40476275106 43248622716 60714412659 80952550212 87698596063 121428825318 175397192126 242857650636 263095788189 350794384252 526191576378 789287364567 1052383152756 1578574729134 3157149458268