Search a number
-
+
132778420803 = 3471961972083
BaseRepresentation
bin111101110101000110…
…1011110101001000011
3110200201120000122110000
41323222031132221003
54133412233431203
6140555250211043
712410241645360
oct1735215365103
9420646018400
10132778420803
1151346a58876
1221897283a83
13c6a06b7902
1465d84b3467
1536c1c394a3
hex1eea35ea43

132778420803 has 160 divisors (see below), whose sum is σ = 245143754240. Its totient is φ = 69939210240.

The previous prime is 132778420799. The next prime is 132778420807. The reversal of 132778420803 is 308024877231.

It is an interprime number because it is at equal distance from previous prime (132778420799) and next prime (132778420807).

It is not a de Polignac number, because 132778420803 - 22 = 132778420799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132778420807) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 63742800 + ... + 63744882.

It is an arithmetic number, because the mean of its divisors is an integer number (1532148464).

Almost surely, 2132778420803 is an apocalyptic number.

132778420803 is a deficient number, since it is larger than the sum of its proper divisors (112365333437).

132778420803 is a wasteful number, since it uses less digits than its factorization.

132778420803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 132778420803 in words is "one hundred thirty-two billion, seven hundred seventy-eight million, four hundred twenty thousand, eight hundred three".

Divisors: 1 3 7 9 19 21 27 57 61 63 81 97 133 171 183 189 291 399 427 513 549 567 679 873 1159 1197 1281 1539 1647 1843 2037 2083 2619 3477 3591 3843 4941 5529 5917 6111 6249 7857 8113 10431 10773 11529 12901 14581 16587 17751 18333 18747 24339 31293 34587 38703 39577 41419 43743 49761 53253 54999 56241 73017 93879 112423 116109 118731 124257 127063 131229 149283 159759 168723 202051 219051 277039 337269 348327 356193 372771 381189 393687 479277 606153 657153 786961 831117 889441 1011807 1044981 1068579 1118313 1143567 1181061 1414357 1818459 2360883 2414197 2493351 2668323 3035421 3205737 3354939 3430701 3838969 4243071 5455377 7082649 7242591 7480053 8004969 9106263 10292103 11516907 12325111 12729213 16366131 16899379 21247947 21727773 22440159 24014907 26872783 34550721 36975333 38187639 50698137 63743841 65183319 72044721 80618349 86275777 103652163 110925999 114562917 152094411 195549957 234177109 241855047 258827331 310956489 332777997 456283233 702531327 725565141 776481993 998333991 1368849699 1639239763 2107593981 2176695423 2329445979 4917719289 6322781943 6988337937 14753157867 18968345829 44259473601 132778420803