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2651356105140 = 2235107702758771
BaseRepresentation
bin100110100101010001001…
…000111000100110110100
3100101110121120021100121110
4212211101020320212310
5321414434130331030
65350003254515020
7362361035022111
oct46452110704664
910343546240543
102651356105140
11932485445286
12369a25965a70
13163038bb1772
149247d5cb908
1548e7b7b41b0
hex269512389b4

2651356105140 has 96 divisors (see below), whose sum is σ = 7494372232704. Its totient is φ = 700308961920.

The previous prime is 2651356105061. The next prime is 2651356105141. The reversal of 2651356105140 is 415016531562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2651356105141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45083955 + ... + 45142725.

It is an arithmetic number, because the mean of its divisors is an integer number (78066377424).

Almost surely, 22651356105140 is an apocalyptic number.

2651356105140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2651356105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747186116352).

2651356105140 is an abundant number, since it is smaller than the sum of its proper divisors (4843016127564).

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

2651356105140 is a wasteful number, since it uses less digits than its factorization.

2651356105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65917 (or 65915 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 2651356105140 in words is "two trillion, six hundred fifty-one billion, three hundred fifty-six million, one hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 7027 14054 21081 28108 35135 42162 58771 70270 84324 105405 117542 140540 176313 210810 235084 293855 352626 421620 587710 705252 751889 881565 1175420 1503778 1763130 2255667 3007556 3526260 3759445 4511334 6288497 7518890 9022668 11278335 12576994 15037780 18865491 22556670 25153988 31442485 37730982 45113340 62884970 75461964 94327455 125769940 188654910 377309820 412983817 825967634 1238951451 1651935268 2064919085 2477902902 4129838170 4955805804 6194757255 8259676340 12389514510 24779029020 44189268419 88378536838 132567805257 176757073676 220946342095 265135610514 441892684190 530271221028 662839026285 883785368380 1325678052570 2651356105140