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2135255472 = 243374316421
BaseRepresentation
bin111111101000101…
…0110100110110000
312111210212012212000
41333101112212300
513333111133342
6551513534000
7103625241420
oct17721264660
95453765760
102135255472
119a6329049
124b7114300
132804b2c9c
14163826480
15c76cd44c
hex7f4569b0

2135255472 has 160 divisors (see below), whose sum is σ = 7167874560. Its totient is φ = 595848960.

The previous prime is 2135255461. The next prime is 2135255477. The reversal of 2135255472 is 2745525312.

2135255472 is a `hidden beast` number, since 2 + 1 + 35 + 2 + 554 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2135255477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121822 + ... + 138242.

It is an arithmetic number, because the mean of its divisors is an integer number (44799216).

Almost surely, 22135255472 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 2135255472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583937280).

2135255472 is an abundant number, since it is smaller than the sum of its proper divisors (5032619088).

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

2135255472 is a wasteful number, since it uses less digits than its factorization.

2135255472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16488 (or 16476 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 2135255472 is about 46208.8246117557. The cubic root of 2135255472 is about 1287.7056893483.

The spelling of 2135255472 in words is "two billion, one hundred thirty-five million, two hundred fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 43 48 54 56 63 72 84 86 108 112 126 129 144 168 172 189 216 252 258 301 336 344 378 387 432 504 516 602 688 756 774 903 1008 1032 1161 1204 1512 1548 1806 2064 2322 2408 2709 3024 3096 3612 4644 4816 5418 6192 7224 8127 9288 10836 14448 16254 16421 18576 21672 32508 32842 43344 49263 65016 65684 98526 114947 130032 131368 147789 197052 229894 262736 295578 344841 394104 443367 459788 591156 689682 706103 788208 886734 919576 1034523 1182312 1379364 1412206 1773468 1839152 2069046 2118309 2364624 2758728 2824412 3103569 3546936 4138092 4236618 4942721 5517456 5648824 6207138 6354927 7093872 8276184 8473236 9885442 11297648 12414276 12709854 14828163 16552368 16946472 19064781 19770884 24828552 25419708 29656326 33892944 38129562 39541768 44484489 49657104 50839416 59312652 76259124 79083536 88968978 101678832 118625304 133453467 152518248 177937956 237250608 266906934 305036496 355875912 533813868 711751824 1067627736 2135255472