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2666114214976 = 2653238512
BaseRepresentation
bin100110110011000000110…
…010100110110001000000
3100102212201002021000101001
4212303000302212301000
5322140200214334401
65400443532221344
7363422536624312
oct46630062466100
910385632230331
102666114214976
11938768a72673
1237086430a854
1316454b597534
149307d6477b2
1549542247601
hex26cc0ca6c40

2666114214976 has 63 divisors (see below), whose sum is σ = 5393676504853. Its totient is φ = 1307565459200.

The previous prime is 2666114214947. The next prime is 2666114214977. The reversal of 2666114214976 is 6794124116662.

The square root of 2666114214976 is 1632824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1921994049600 + 744120165376 = 1386360^2 + 862624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2666114214977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 692315451 + ... + 692319301.

Almost surely, 22666114214976 is an apocalyptic number.

2666114214976 is the 1632824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666114214976

2666114214976 is an abundant number, since it is smaller than the sum of its proper divisors (2727562289877).

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

2666114214976 is an frugal number, since it uses more digits than its factorization.

2666114214976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7820 (or 3906 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 2666114214976 in words is "two trillion, six hundred sixty-six billion, one hundred fourteen million, two hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2809 3392 3851 5618 7702 11236 15404 22472 30808 44944 61616 89888 123232 179776 204103 246464 408206 816412 1632824 3265648 6531296 10817459 13062592 14830201 21634918 29660402 43269836 59320804 86539672 118641608 173079344 237283216 346158688 474566432 692317376 786000653 949132864 1572001306 3144002612 6288005224 12576010448 25152020896 41658034609 50304041792 83316069218 166632138436 333264276872 666528553744 1333057107488 2666114214976