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2951116641324 = 22322321411664713
BaseRepresentation
bin101010111100011100010…
…000100101010000101100
3101110010100101121100202100
4222330130100211100230
5341322341330010244
610135420235255100
7423132264364305
oct52743420452054
911403311540670
102951116641324
11a3861a4548a5
123b7b42baa490
1318539b2195b7
14a2b989d77ac
1551b72e20b69
hex2af1c42542c

2951116641324 has 72 divisors (see below), whose sum is σ = 7787745175392. Its totient is φ = 940495691520.

The previous prime is 2951116641281. The next prime is 2951116641373. The reversal of 2951116641324 is 4231466111592.

2951116641324 is a `hidden beast` number, since 2 + 9 + 51 + 1 + 166 + 413 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2951116641324.

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, 940392 + ... + 2605104.

It is an arithmetic number, because the mean of its divisors is an integer number (108163127436).

Almost surely, 22951116641324 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 2951116641324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893872587696).

2951116641324 is an abundant number, since it is smaller than the sum of its proper divisors (4836628534068).

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

2951116641324 is a wasteful number, since it uses less digits than its factorization.

2951116641324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666887 (or 1666882 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 2951116641324 in words is "two trillion, nine hundred fifty-one billion, one hundred sixteen million, six hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 2141 4282 6423 8564 12846 19269 25692 38538 49243 77076 98486 147729 196972 295458 443187 590916 886374 1664713 1772748 3329426 4994139 6658852 9988278 14982417 19976556 29964834 38288399 59929668 76576798 114865197 153153596 229730394 344595591 459460788 689191182 1378382364 3564150533 7128301066 10692451599 14256602132 21384903198 32077354797 42769806396 64154709594 81975462259 128309419188 163950924518 245926386777 327901849036 491852773554 737779160331 983705547108 1475558320662 2951116641324