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4218459008148 = 2233711246115473
BaseRepresentation
bin111101011000101111110…
…000000010110010010100
3112221021120122212011021000
4331120233300002302110
51023103401001230043
612545533332423300
7613526226640320
oct75305760026224
915837518764230
104218459008148
111387047153900
12581695477b30
13247a5047a128
14108262bb2980
1574ae9c552d3
hex3d62fc02c94

4218459008148 has 144 divisors (see below), whose sum is σ = 13738722014080. Its totient is φ = 1095703614720.

The previous prime is 4218459008119. The next prime is 4218459008161. The reversal of 4218459008148 is 8418009548124.

4218459008148 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 4 + 590 + 0 + 8 + 1 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4218459008094 and 4218459008103.

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, 22966261 + ... + 23149212.

Almost surely, 24218459008148 is an apocalyptic number.

It is an amenable number.

4218459008148 is an abundant number, since it is smaller than the sum of its proper divisors (9520263005932).

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

4218459008148 is a wasteful number, since it uses less digits than its factorization.

4218459008148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46115515 (or 46115496 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 4218459008148 in words is "four trillion, two hundred eighteen billion, four hundred fifty-nine million, eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 121 126 132 154 189 198 231 242 252 297 308 363 378 396 462 484 594 693 726 756 847 924 1089 1188 1386 1452 1694 2079 2178 2541 2772 3267 3388 4158 4356 5082 6534 7623 8316 10164 13068 15246 22869 30492 45738 91476 46115473 92230946 138346419 184461892 276692838 322808311 415039257 507270203 553385676 645616622 830078514 968424933 1014540406 1245117771 1291233244 1521810609 1660157028 1936849866 2029080812 2490235542 2905274799 3043621218 3550891421 3873699732 4565431827 4980471084 5579972233 5810549598 6087242436 7101782842 8715824397 9130863654 10652674263 11159944466 11621099196 13696295481 14203565684 16739916699 17431648794 18261727308 21305348526 22319888932 27392590962 31958022789 33479833398 34863297588 39059805631 42610697052 50219750097 54785181924 63916045578 66959666796 78119611262 95874068367 100439500194 117179416893 127832091156 150659250291 156239222524 191748136734 200879000388 234358833786 301318500582 351538250679 383496273468 468717667572 602637001164 703076501358 1054614752037 1406153002716 2109229504074 4218459008148