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2656336214040 = 2335191165059743
BaseRepresentation
bin100110101001111001111…
…110011111100000011000
3100101221110122020002201020
4212221321332133200120
5322010134032322130
65352145355522440
7362625326163045
oct46517176374030
910357418202636
102656336214040
119346005a6863
1236a995759420
13163650897672
14927d2b921cc
154916dadbe10
hex26a79f9f818

2656336214040 has 64 divisors (see below), whose sum is σ = 8388430156800. Its totient is φ = 671074411392.

The previous prime is 2656336214017. The next prime is 2656336214057. The reversal of 2656336214040 is 404126336562.

It is a happy number.

It is a super-2 number, since 2×26563362140402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2656336213983 and 2656336214001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582527592 + ... + 582532151.

It is an arithmetic number, because the mean of its divisors is an integer number (131069221200).

Almost surely, 22656336214040 is an apocalyptic number.

2656336214040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2656336214040 is an abundant number, since it is smaller than the sum of its proper divisors (5732093942760).

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

2656336214040 is a wasteful number, since it uses less digits than its factorization.

2656336214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165059776 (or 1165059772 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 2656336214040 in words is "two trillion, six hundred fifty-six billion, three hundred thirty-six million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 1165059743 2330119486 3495179229 4660238972 5825298715 6990358458 9320477944 11650597430 13980716916 17475896145 22136135117 23301194860 27961433832 34951792290 44272270234 46602389720 66408405351 69903584580 88544540468 110680675585 132816810702 139807169160 177089080936 221361351170 265633621404 332042026755 442722702340 531267242808 664084053510 885445404680 1328168107020 2656336214040