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2910048066 = 2331761157331
BaseRepresentation
bin1010110101110011…
…1100111101000010
321111210202202111000
42231130330331002
521424433014231
61200432232430
7132054000102
oct25534747502
97453682430
102910048066
111263712202
1269269b716
13374b7b443
141d86ad202
151207266e6
hexad73cf42

2910048066 has 128 divisors (see below), whose sum is σ = 7024907520. Its totient is φ = 889574400.

The previous prime is 2910048061. The next prime is 2910048079. The reversal of 2910048066 is 6608400192.

It is a self number, because there is not a number n which added to its sum of digits gives 2910048066.

It is not an unprimeable number, because it can be changed into a prime (2910048061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8791521 + ... + 8791851.

It is an arithmetic number, because the mean of its divisors is an integer number (54882090).

Almost surely, 22910048066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2910048066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512453760).

2910048066 is an abundant number, since it is smaller than the sum of its proper divisors (4114859454).

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

2910048066 is a wasteful number, since it uses less digits than its factorization.

2910048066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2910048066 is about 53944.8613493445. The cubic root of 2910048066 is about 1427.6882572794.

The spelling of 2910048066 in words is "two billion, nine hundred ten million, forty-eight thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 102 122 153 157 183 306 314 331 366 459 471 549 662 918 942 993 1037 1098 1413 1647 1986 2074 2669 2826 2979 3111 3294 4239 5338 5627 5958 6222 8007 8478 8937 9333 9577 11254 16014 16881 17874 18666 19154 20191 24021 27999 28731 33762 40382 48042 50643 51967 55998 57462 60573 72063 86193 101286 103934 121146 144126 151929 155901 162809 172386 181719 258579 303858 311802 325618 343247 363438 467703 488427 517158 545157 686494 883439 935406 976854 1029741 1090314 1403109 1465281 1766878 2059482 2650317 2806218 2930562 3089223 3169987 4395843 5300634 6178446 6339974 7950951 8791686 9267669 9509961 15901902 18535338 19019922 23852853 28529883 47705706 53889779 57059766 85589649 107779558 161669337 171179298 323338674 485008011 970016022 1455024033 2910048066