Search a number
-
+
153386194513280 = 2755328813156943
BaseRepresentation
bin100010111000000100000001…
…101000110010110110000000
3202010002120120121212001100112
4202320010001220302312000
5130101034411243411110
61302120351152210452
744210533614206201
oct4270040150626600
9663076517761315
10153386194513280
11449677a103a883
1215253332239a28
1367783437b10a1
1429c3d07b935a8
1512aedd855c405
hex8b8101a32d80

153386194513280 has 128 divisors (see below), whose sum is σ = 373622876449920. Its totient is φ = 60194373378048.

The previous prime is 153386194513217. The next prime is 153386194513319. The reversal of 153386194513280 is 82315491683351.

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, 977258489 + ... + 977415431.

It is an arithmetic number, because the mean of its divisors is an integer number (2918928722265).

Almost surely, 2153386194513280 is an apocalyptic number.

153386194513280 is a gapful number since it is divisible by the number (10) 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 153386194513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186811438224960).

153386194513280 is an abundant number, since it is smaller than the sum of its proper divisors (220236681936640).

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

153386194513280 is a wasteful number, since it uses less digits than its factorization.

153386194513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185828 (or 185816 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 59.

The spelling of 153386194513280 in words is "one hundred fifty-three trillion, three hundred eighty-six billion, one hundred ninety-four million, five hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 640 848 1060 1696 2120 3392 4240 6784 8480 16960 28813 33920 57626 115252 144065 156943 230504 288130 313886 461008 576260 627772 784715 922016 1152520 1255544 1527089 1569430 1844032 2305040 2511088 3054178 3138860 3688064 4610080 5022176 6108356 6277720 7635445 8317979 9220160 10044352 12216712 12555440 15270890 16635958 18440320 20088704 24433424 25110880 30541780 33271916 41589895 48866848 50221760 61083560 66543832 83179790 97733696 100443520 122167120 133087664 166359580 195467392 244334240 266175328 332719160 488668480 532350656 665438320 977336960 1064701312 1330876640 2661753280 4521998659 5323506560 9043997318 18087994636 22609993295 36175989272 45219986590 72351978544 90439973180 144703957088 180879946360 239665928927 289407914176 361759892720 479331857854 578815828352 723519785440 958663715708 1198329644635 1447039570880 1917327431416 2396659289270 2894079141760 3834654862832 4793318578540 7669309725664 9586637157080 15338619451328 19173274314160 30677238902656 38346548628320 76693097256640 153386194513280