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2115755296512 = 283111319264963
BaseRepresentation
bin11110110010011100110…
…101111100011100000000
321111021010121212011221020
4132302130311330130000
5234131031323442022
64255544202425440
7305600250201444
oct36623465743400
97437117764836
102115755296512
117463177863a0
122a206a202280
13124690220370
1474590184824
153a0804c335c
hex1ec9cd7c700

2115755296512 has 144 divisors (see below), whose sum is σ = 6615434517888. Its totient is φ = 591819632640.

The previous prime is 2115755296511. The next prime is 2115755296553. The reversal of 2115755296512 is 2156925575112.

It is a super-2 number, since 2×21157552965122 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115755296511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9522658 + ... + 9742305.

Almost surely, 22115755296512 is an apocalyptic number.

2115755296512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2115755296512 is an abundant number, since it is smaller than the sum of its proper divisors (4499679221376).

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

2115755296512 is a wasteful number, since it uses less digits than its factorization.

2115755296512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19265006 (or 19264992 counting only the distinct ones).

The product of its digits is 1890000, while the sum is 51.

The spelling of 2115755296512 in words is "two trillion, one hundred fifteen billion, seven hundred fifty-five million, two hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 2816 3328 3432 4224 4576 4992 6864 8448 9152 9984 13728 18304 27456 36608 54912 109824 19264963 38529926 57794889 77059852 115589778 154119704 211914593 231179556 250444519 308239408 423829186 462359112 500889038 616478816 635743779 751333557 847658372 924718224 1001778076 1232957632 1271487558 1502667114 1695316744 1849436448 2003556152 2465915264 2542975116 2754889709 3005334228 3390633488 3698872896 4007112304 4931830528 5085950232 5509779418 6010668456 6781266976 7397745792 8014224608 8264669127 10171900464 11019558836 12021336912 13562533952 14795491584 16028449216 16529338254 20343800928 22039117672 24042673824 27125067904 32056898432 33058676508 40687601856 44078235344 48085347648 54250135808 64113796864 66117353016 81375203712 88156470688 96170695296 132234706032 162750407424 176312941376 192341390592 264469412064 352625882752 528938824128 705251765504 1057877648256 2115755296512