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134353168896 = 2937910131093
BaseRepresentation
bin111110100100000010…
…0101010101000000000
3110211210022012010201110
41331020010222220000
54200123402401041
6141415422403320
712464253043602
oct1751004525000
9424708163643
10134353168896
1151a84952381
1222056730540
13c891a1b90b
1467076b3172
1537650eb516
hex1f4812aa00

134353168896 has 160 divisors (see below), whose sum is σ = 363145685760. Its totient is φ = 44133433344.

The previous prime is 134353168891. The next prime is 134353168927. The reversal of 134353168896 is 698861353431.

It is not an unprimeable number, because it can be changed into a prime (134353168891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122920926 + ... + 122922018.

It is an arithmetic number, because the mean of its divisors is an integer number (2269660536).

Almost surely, 2134353168896 is an apocalyptic number.

134353168896 is a gapful number since it is divisible by the number (16) 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 134353168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181572842880).

134353168896 is an abundant number, since it is smaller than the sum of its proper divisors (228792516864).

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

134353168896 is a wasteful number, since it uses less digits than its factorization.

134353168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2190 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 57.

The spelling of 134353168896 in words is "one hundred thirty-four billion, three hundred fifty-three million, one hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1013 1093 1264 1536 1896 2026 2186 2528 3039 3279 3792 4052 4372 5056 6078 6558 7584 8104 8744 10112 12156 13116 15168 16208 17488 20224 24312 26232 30336 32416 34976 40448 48624 52464 60672 64832 69952 80027 86347 97248 104928 121344 129664 139904 160054 172694 194496 209856 240081 259041 259328 279808 320108 345388 388992 419712 480162 518082 518656 559616 640216 690776 777984 839424 960324 1036164 1107209 1280432 1381552 1555968 1678848 1920648 2072328 2214418 2560864 2763104 3321627 3841296 4144656 4428836 5121728 5526208 6643254 7682592 8289312 8857672 10243456 11052416 13286508 15365184 16578624 17715344 20486912 22104832 26573016 30730368 33157248 35430688 40973824 44209664 53146032 61460736 66314496 70861376 87469511 106292064 122921472 132628992 141722752 174939022 212584128 262408533 283445504 349878044 425168256 524817066 566891008 699756088 850336512 1049634132 1399512176 1700673024 2099268264 2799024352 4198536528 5598048704 8397073056 11196097408 16794146112 22392194816 33588292224 44784389632 67176584448 134353168896