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2664049906602 = 2327891093217351
BaseRepresentation
bin100110110001000101101…
…111111001001110101010
3100102200101012220021122100
4212301011233321032222
5322121433234002402
65355503031034230
7363320432402460
oct46610557711652
910380335807570
102664049906602
119378a97a2197
12370388b0b976
131642ac9c51a6
1492d2540c830
1549470dd071c
hex26c45bf93aa

2664049906602 has 96 divisors (see below), whose sum is σ = 6676949111040. Its totient is φ = 751912761600.

The previous prime is 2664049906589. The next prime is 2664049906621. The reversal of 2664049906602 is 2066099404662.

2664049906602 is a `hidden beast` number, since 26 + 6 + 4 + 0 + 4 + 9 + 9 + 0 + 6 + 602 = 666.

It is a super-2 number, since 2×26640499066022 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12148227 + ... + 12365577.

It is an arithmetic number, because the mean of its divisors is an integer number (69551553240).

Almost surely, 22664049906602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664049906602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338474555520).

2664049906602 is an abundant number, since it is smaller than the sum of its proper divisors (4012899204438).

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

2664049906602 is a wasteful number, since it uses less digits than its factorization.

2664049906602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218548 (or 218545 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2664049906602 in words is "two trillion, six hundred sixty-four billion, forty-nine million, nine hundred six thousand, six hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 267 534 623 801 1093 1246 1602 1869 2186 3279 3738 5607 6558 7651 9837 11214 15302 19674 22953 45906 68859 97277 137718 194554 217351 291831 434702 583662 652053 680939 875493 1304106 1361878 1521457 1750986 1956159 2042817 3042914 3912318 4085634 4564371 6128451 9128742 12256902 13693113 19344239 27386226 38688478 58032717 116065434 135409673 174098151 237564643 270819346 348196302 406229019 475129286 712693929 812458038 1218687057 1425387858 1662952501 2138081787 2437374114 3325905002 4276163574 4988857503 9977715006 14966572509 21143253227 29933145018 42286506454 63429759681 126859519362 148002772589 190289279043 296005545178 380578558086 444008317767 888016635534 1332024953301 2664049906602