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6146074220 = 225111310121277
BaseRepresentation
bin1011011100101010…
…11010011001101100
3120212022220220211112
411232111122121230
5100041343333340
62453511411152
7305206524506
oct55625323154
916768826745
106146074220
112674331590
121236383ab8
1376c421b10
14424394d76
1525e88e065
hex16e55a66c

6146074220 has 96 divisors (see below), whose sum is σ = 15314031936. Its totient is φ = 2042496000.

The previous prime is 6146074183. The next prime is 6146074241. The reversal of 6146074220 is 224706416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278222 + ... + 299498.

It is an arithmetic number, because the mean of its divisors is an integer number (159521166).

Almost surely, 26146074220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6146074220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657015968).

6146074220 is an abundant number, since it is smaller than the sum of its proper divisors (9167957716).

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

6146074220 is a wasteful number, since it uses less digits than its factorization.

6146074220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21411 (or 21409 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 6146074220 is about 78396.9018520503. The cubic root of 6146074220 is about 1831.7488750669.

The spelling of 6146074220 in words is "six billion, one hundred forty-six million, seventy-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 101 110 130 143 202 220 260 286 404 505 572 715 1010 1111 1313 1430 2020 2222 2626 2860 4444 5252 5555 6565 11110 13130 14443 21277 22220 26260 28886 42554 57772 72215 85108 106385 144430 212770 234047 276601 288860 425540 468094 553202 936188 1106404 1170235 1383005 2148977 2340470 2766010 3042611 4297954 4680940 5532020 6085222 8595908 10744885 12170444 15213055 21489770 23638747 27936701 30426110 42979540 47277494 55873402 60852220 94554988 111746804 118193735 139683505 236387470 279367010 307303711 472774940 558734020 614607422 1229214844 1536518555 3073037110 6146074220