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1134531504512 = 2771973219103
BaseRepresentation
bin10000100000100111010…
…110001110100110000000
311000110102110011221200022
4100200213112032212000
5122042010031121022
62225110243313012
7144652514446550
oct20404726164600
94013373157608
101134531504512
113a817450347a
12163a6837b768
1382ca7c27893
143cca969d160
151e7a233cc42
hex1082758e980

1134531504512 has 128 divisors (see below), whose sum is σ = 2719707110400. Its totient is φ = 460523335680.

The previous prime is 1134531504497. The next prime is 1134531504527. The reversal of 1134531504512 is 2154051354311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1134531504497) and next prime (1134531504527).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124628153 + ... + 124637255.

It is an arithmetic number, because the mean of its divisors is an integer number (21247711800).

Almost surely, 21134531504512 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 1134531504512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359853555200).

1134531504512 is an abundant number, since it is smaller than the sum of its proper divisors (1585175605888).

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

1134531504512 is an equidigital number, since it uses as much as digits as its factorization.

1134531504512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16464 (or 16452 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 1134531504512 its reverse (2154051354311), we get a palindrome (3288582858823).

The spelling of 1134531504512 in words is "one trillion, one hundred thirty-four billion, five hundred thirty-one million, five hundred four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 7321 8512 9103 14642 17024 18206 29284 36412 51247 58568 63721 72824 102494 117136 127442 139099 145648 172957 204988 234272 254884 278198 291296 345914 409976 468544 509768 556396 582592 691828 819952 937088 973693 1019536 1112792 1165184 1210699 1383656 1639904 1947386 2039072 2225584 2421398 2767312 3279808 3894772 4078144 4451168 4842796 5534624 6559616 7789544 8156288 8902336 9685592 11069248 15579088 17804672 19371184 22138496 31158176 38742368 62316352 66643063 77484736 124632704 133286126 154969472 266572252 466501441 533144504 933002882 1066289008 1266218197 1866005764 2132578016 2532436394 3732011528 4265156032 5064872788 7464023056 8530312064 8863527379 10129745576 14928046112 17727054758 20259491152 29856092224 35454109516 40518982304 59712184448 70908219032 81037964608 141816438064 162075929216 283632876128 567265752256 1134531504512