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6148866906468 = 2232111310311596297
BaseRepresentation
bin101100101111010010100…
…0001110001100101100100
3210202211022002212221122200
41121132211001301211210
51301220334412001333
621024430033254500
71203145440224556
oct131364501614544
923684262787580
106148866906468
111a607a1082670
12833837104430
13357ab2c424c0
1417386cca94d6
15a9e2d345c13
hex597a5071964

6148866906468 has 144 divisors (see below), whose sum is σ = 18437557197696. Its totient is φ = 1703263956480.

The previous prime is 6148866906467. The next prime is 6148866906473. The reversal of 6148866906468 is 8646096688416.

6148866906468 is a `hidden beast` number, since 6 + 14 + 8 + 8 + 66 + 90 + 6 + 468 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6148866906396 and 6148866906405.

It is not an unprimeable number, because it can be changed into a prime (6148866906467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5267905 + ... + 6328392.

Almost surely, 26148866906468 is an apocalyptic number.

It is an amenable number.

6148866906468 is an abundant number, since it is smaller than the sum of its proper divisors (12288690291228).

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

6148866906468 is a wasteful number, since it uses less digits than its factorization.

6148866906468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596434 (or 11596429 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 6148866906468 in words is "six trillion, one hundred forty-eight billion, eight hundred sixty-six million, nine hundred six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 103 117 132 143 156 198 206 234 286 309 396 412 429 468 572 618 858 927 1133 1236 1287 1339 1716 1854 2266 2574 2678 3399 3708 4017 4532 5148 5356 6798 8034 10197 12051 13596 14729 16068 20394 24102 29458 40788 44187 48204 58916 88374 132561 176748 265122 530244 11596297 23192594 34788891 46385188 69577782 104366673 127559267 139155564 150751861 208733346 255118534 301503722 382677801 417466692 452255583 510237068 603007444 765355602 904511166 1148033403 1194418591 1356766749 1530711204 1658270471 1809022332 2296066806 2388837182 2713533498 3316540942 3583255773 4592133612 4777674364 4974811413 5427066996 6633081884 7166511546 9949622826 10749767319 13138604501 14333023092 14924434239 15527441683 19899245652 21499534638 26277209002 29848868478 31054883366 39415813503 42999069276 46582325049 52554418004 59697736956 62109766732 78831627006 93164650098 118247440509 139746975147 157663254012 170801858513 186329300196 236494881018 279493950294 341603717026 472989762036 512405575539 558987900588 683207434052 1024811151078 1537216726617 2049622302156 3074433453234 6148866906468