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2115831640644 = 22322315591639097
BaseRepresentation
bin11110110010100001011…
…001001011001001000100
321111021022221111212101200
4132302201121023021010
5234131210400000034
64255555531022500
7305602165130211
oct36624131131104
97437287455350
102115831640644
1174635688a917
122a208b89aa30
131246a2ca06c7
147459a378b08
153a087053a99
hex1eca164b244

2115831640644 has 72 divisors (see below), whose sum is σ = 5584472449920. Its totient is φ = 674179853952.

The previous prime is 2115831640633. The next prime is 2115831640711. The reversal of 2115831640644 is 4460461385112.

2115831640644 is a `hidden beast` number, since 2 + 1 + 1 + 583 + 1 + 6 + 4 + 0 + 64 + 4 = 666.

It is a super-3 number, since 3×21158316406443 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2115831640644.

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, 471304 + ... + 2110400.

It is an arithmetic number, because the mean of its divisors is an integer number (77562117360).

Almost surely, 22115831640644 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 2115831640644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792236224960).

2115831640644 is an abundant number, since it is smaller than the sum of its proper divisors (3468640809276).

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

2115831640644 is a wasteful number, since it uses less digits than its factorization.

2115831640644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640689 (or 1640684 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2115831640644 in words is "two trillion, one hundred fifteen billion, eight hundred thirty-one million, six hundred forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1559 3118 4677 6236 9354 14031 18708 28062 35857 56124 71714 107571 143428 215142 322713 430284 645426 1290852 1639097 3278194 4917291 6556388 9834582 14751873 19669164 29503746 37699231 59007492 75398462 113097693 150796924 226195386 339293079 452390772 678586158 1357172316 2555352223 5110704446 7666056669 10221408892 15332113338 22998170007 30664226676 45996340014 58773101129 91992680028 117546202258 176319303387 235092404516 352638606774 528957910161 705277213548 1057915820322 2115831640644