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134044772752 = 24113743946889
BaseRepresentation
bin111110011010110110…
…0001110100110010000
3110210222210212222202001
41330311230032212100
54144010430212002
6141325044403344
712453516524512
oct1746554164620
9423883788661
10134044772752
1151936863830
1221b8b3a6554
13c842b712a7
1466b8755bb2
153747ecea87
hex1f35b0e990

134044772752 has 80 divisors (see below), whose sum is σ = 291648297600. Its totient is φ = 59146398720.

The previous prime is 134044772723. The next prime is 134044772753. The reversal of 134044772752 is 257277440431.

It is a super-2 number, since 2×1340447727522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134044772753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2835324 + ... + 2882212.

It is an arithmetic number, because the mean of its divisors is an integer number (3645603720).

Almost surely, 2134044772752 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 134044772752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824148800).

134044772752 is an abundant number, since it is smaller than the sum of its proper divisors (157603524848).

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

134044772752 is a wasteful number, since it uses less digits than its factorization.

134044772752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47384 (or 47378 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 46.

The spelling of 134044772752 in words is "one hundred thirty-four billion, forty-four million, seven hundred seventy-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 439 592 814 878 1628 1756 3256 3512 4829 6512 7024 9658 16243 19316 32486 38632 46889 64972 77264 93778 129944 178673 187556 259888 357346 375112 515779 714692 750224 1031558 1429384 1734893 2063116 2858768 3469786 4126232 6939572 8252464 13879144 19083823 20584271 27758288 38167646 41168542 76335292 82337084 152670584 164674168 226426981 305341168 329348336 452853962 761618027 905707924 1523236054 1811415848 3046472108 3622831696 6092944216 8377798297 12185888432 16755596594 33511193188 67022386376 134044772752