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2265015411216 = 243264375132573
BaseRepresentation
bin100000111101011101011…
…100000110001000010000
322000112101211002121222200
4200331131130012020100
5244102222421124331
64452311141003200
7322433123221635
oct40753534061020
98015354077880
102265015411216
117a3651172798
12306b850b3500
13135789406b6c
147b8ad57818c
153ddb91525e6
hex20f5d706210

2265015411216 has 120 divisors (see below), whose sum is σ = 6357404516736. Its totient is φ = 752804064000.

The previous prime is 2265015411181. The next prime is 2265015411223. The reversal of 2265015411216 is 6121145105622.

2265015411216 is a `hidden beast` number, since 2 + 26 + 5 + 0 + 1 + 5 + 411 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69520306 + ... + 69552878.

Almost surely, 22265015411216 is an apocalyptic number.

It is an amenable number.

2265015411216 is an abundant number, since it is smaller than the sum of its proper divisors (4092389105520).

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

2265015411216 is a wasteful number, since it uses less digits than its factorization.

2265015411216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33981 (or 33972 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 2265015411216 in words is "two trillion, two hundred sixty-five billion, fifteen million, four hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 643 751 1286 1502 1929 2253 2572 3004 3858 4506 5144 5787 6008 6759 7716 9012 10288 11574 12016 13518 15432 18024 23148 27036 30864 32573 36048 46296 54072 65146 92592 97719 108144 130292 195438 260584 293157 390876 482893 521168 586314 781752 965786 1172628 1448679 1563504 1931572 2345256 2897358 3863144 4346037 4690512 5794716 7726288 8692074 11589432 17384148 20944439 23178864 24462323 34768296 41888878 48924646 62833317 69536592 73386969 83777756 97849292 125666634 146773938 167555512 188499951 195698584 220160907 251333268 293547876 335111024 376999902 391397168 440321814 502666536 587095752 753999804 880643628 1005333072 1174191504 1507999608 1761287256 3015999216 3522574512 15729273689 31458547378 47187821067 62917094756 94375642134 125834189512 141563463201 188751284268 251668379024 283126926402 377502568536 566253852804 755005137072 1132507705608 2265015411216