Search a number
-
+
32993417380 = 22571121424297
BaseRepresentation
bin11110101110100011…
…111001100010100100
310011011100221021001111
4132232203321202210
51020032303324010
623053523234404
72245415264140
oct365643714244
9104140837044
1032993417380
1112aa0a188a0
126489518a04
13315a5b33a1
14184dc1a220
15cd181c58a
hex7ae8f98a4

32993417380 has 48 divisors (see below), whose sum is σ = 86382769536. Its totient is φ = 10283662080.

The previous prime is 32993417351. The next prime is 32993417381. The reversal of 32993417380 is 8371439923.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (32993417381) 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, 10710609 + ... + 10713688.

It is an arithmetic number, because the mean of its divisors is an integer number (1799641032).

Almost surely, 232993417380 is an apocalyptic number.

It is an amenable number.

32993417380 is an abundant number, since it is smaller than the sum of its proper divisors (53389352156).

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

32993417380 is a wasteful number, since it uses less digits than its factorization.

32993417380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21424324 (or 21424322 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 32993417380 in words is "thirty-two billion, nine hundred ninety-three million, four hundred seventeen thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 21424297 42848594 85697188 107121485 149970079 214242970 235667267 299940158 428485940 471334534 599880316 749850395 942669068 1178336335 1499700790 1649670869 2356672670 2999401580 3299341738 4713345340 6598683476 8248354345 16496708690 32993417380