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6061796964 = 223217334273
BaseRepresentation
bin1011010010100111…
…11010111001100100
3120122110100012011200
411221103322321210
544403310000324
62441301202500
7303134265306
oct55123727144
916573305150
106061796964
1126307a9863
121212100430
13757b24912
144170d7976
15257292ec9
hex1694fae64

6061796964 has 72 divisors (see below), whose sum is σ = 16280835480. Its totient is φ = 1901684736.

The previous prime is 6061796959. The next prime is 6061797013. The reversal of 6061796964 is 4696971606.

It can be written as a sum of positive squares in 4 ways, for example, as 2420640000 + 3641156964 = 49200^2 + 60342^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6061796964.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159732 + ... + 194004.

It is an arithmetic number, because the mean of its divisors is an integer number (226122715).

Almost surely, 26061796964 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 6061796964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140417740).

6061796964 is an abundant number, since it is smaller than the sum of its proper divisors (10219038516).

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

6061796964 is a wasteful number, since it uses less digits than its factorization.

6061796964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34334 (or 34295 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 6061796964 is about 77857.5427559848. The cubic root of 6061796964 is about 1823.3377710530.

The spelling of 6061796964 in words is "six billion, sixty-one million, seven hundred ninety-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 4913 5202 9826 10404 14739 19652 29478 34273 44217 58956 68546 88434 102819 137092 176868 205638 308457 411276 582641 616914 1165282 1233828 1747923 2330564 3495846 5243769 6991692 9904897 10487538 19809794 20975076 29714691 39619588 59429382 89144073 118858764 168383249 178288146 336766498 356576292 505149747 673532996 1010299494 1515449241 2020598988 3030898482 6061796964