Search a number
-
+
152302134054 = 237172912757917
BaseRepresentation
bin1000110111010111101…
…0100010001100100110
3112120010012100001002210
42031311322202030212
54443403321242204
6153544443144250
714001121531230
oct2156572421446
9476105301083
10152302134054
1159655647584
1225625815086
13114924c0a65
14752b417250
153e65c73389
hex2375ea2326

152302134054 has 128 divisors (see below), whose sum is σ = 384316047360. Its totient is φ = 39230908416.

The previous prime is 152302134031. The next prime is 152302134157. The reversal of 152302134054 is 450431203251.

152302134054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2600704 + ... + 2658620.

It is an arithmetic number, because the mean of its divisors is an integer number (3002469120).

Almost surely, 2152302134054 is an apocalyptic number.

152302134054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152302134054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192158023680).

152302134054 is an abundant number, since it is smaller than the sum of its proper divisors (232013913306).

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

152302134054 is a wasteful number, since it uses less digits than its factorization.

152302134054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58102.

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 152302134054 in words is "one hundred fifty-two billion, three hundred two million, one hundred thirty-four thousand, fifty-four".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 51 58 87 102 119 127 174 203 238 254 357 381 406 493 609 714 762 889 986 1218 1479 1778 2159 2667 2958 3451 3683 4318 5334 6477 6902 7366 10353 11049 12954 15113 20706 22098 25781 30226 45339 51562 57917 62611 77343 90678 115834 125222 154686 173751 187833 347502 375666 405419 438277 810838 876554 984589 1216257 1314831 1679593 1969178 2432514 2629662 2953767 3359186 5038779 5907534 6892123 7355459 10077558 11757151 13784246 14710918 20676369 22066377 23514302 28553081 35271453 41352738 44132754 51488213 57106162 70542906 85659243 102976426 125042803 154464639 171318486 199871567 213308311 250085606 308929278 375128409 399743134 426616622 599614701 639924933 750256818 875299621 1199229402 1279849866 1493158177 1750599242 2625898863 2986316354 3626241287 4479474531 5251797726 7252482574 8958949062 10878723861 21757447722 25383689009 50767378018 76151067027 152302134054