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4662431420616 = 2334231033037193
BaseRepresentation
bin100001111011000111010…
…0100011001000011001000
3121111201112212021112020000
41003312032210121003020
51102342124420424431
613525520314203000
7660564253115514
oct103661644310310
917451485245200
104662431420616
111538364a95552
1263373aa23460
1327a885b50538
1412193cd55144
1581431c5b9e6
hex43d8e9190c8

4662431420616 has 160 divisors (see below), whose sum is σ = 13759217746560. Its totient is φ = 1472139111168.

The previous prime is 4662431420527. The next prime is 4662431420641. The reversal of 4662431420616 is 6160241342664.

4662431420616 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 4 + 3 + 1 + 4 + 20 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16516 + ... + 3053708.

It is an arithmetic number, because the mean of its divisors is an integer number (85995110916).

Almost surely, 24662431420616 is an apocalyptic number.

4662431420616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4662431420616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879608873280).

4662431420616 is an abundant number, since it is smaller than the sum of its proper divisors (9096786325944).

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

4662431420616 is a wasteful number, since it uses less digits than its factorization.

4662431420616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037337 (or 3037324 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4662431420616 in words is "four trillion, six hundred sixty-two billion, four hundred thirty-one million, four hundred twenty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 103 108 138 162 184 206 207 216 276 309 324 412 414 552 618 621 648 824 828 927 1236 1242 1656 1854 1863 2369 2472 2484 2781 3708 3726 4738 4968 5562 7107 7416 7452 8343 9476 11124 14214 14904 16686 18952 21321 22248 28428 33372 42642 56856 63963 66744 85284 127926 170568 191889 255852 383778 511704 767556 1535112 3037193 6074386 9111579 12148772 18223158 24297544 27334737 36446316 54669474 69855439 72892632 82004211 109338948 139710878 164008422 209566317 218677896 246012633 279421756 312830879 328016844 419132634 492025266 558843512 625661758 628698951 656033688 838265268 938492637 984050532 1251323516 1257397902 1676530536 1876985274 1886096853 1968101064 2502647032 2514795804 2815477911 3753970548 3772193706 5029591608 5630955822 5658290559 7195110217 7507941096 7544387412 8446433733 11261911644 11316581118 14390220434 15088774824 16892867466 21585330651 22523823288 22633162236 25339301199 28780440868 33785734932 43170661302 45266324472 50678602398 57560881736 64755991953 67571469864 86341322604 101357204796 129511983906 172682645208 194267975859 202714409592 259023967812 388535951718 518047935624 582803927577 777071903436 1165607855154 1554143806872 2331215710308 4662431420616