Search a number
-
+
151284379190 = 257361723053
BaseRepresentation
bin1000110011100101000…
…0000110111000110110
3112110111021020201220012
42030321100012320312
54434312300113230
6153255445140222
713633653002000
oct2147120067066
9473437221805
10151284379190
11591830a725a
12253a09ba672
131135c6a8349
1474721a7370
153e06736395
hex2339406e36

151284379190 has 64 divisors (see below), whose sum is σ = 322771305600. Its totient is φ = 51018549120.

The previous prime is 151284379177. The next prime is 151284379217. The reversal of 151284379190 is 91973482151.

It is a super-2 number, since 2×1512843791902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 152297 + ... + 570756.

It is an arithmetic number, because the mean of its divisors is an integer number (5043301650).

Almost surely, 2151284379190 is an apocalyptic number.

151284379190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151284379190 is an abundant number, since it is smaller than the sum of its proper divisors (171486926410).

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

151284379190 is an equidigital number, since it uses as much as digits as its factorization.

151284379190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723142 (or 723128 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 50.

The spelling of 151284379190 in words is "one hundred fifty-one billion, two hundred eighty-four million, three hundred seventy-nine thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 61 70 98 122 245 305 343 427 490 610 686 854 1715 2135 2989 3430 4270 5978 14945 20923 29890 41846 104615 209230 723053 1446106 3615265 5061371 7230530 10122742 25306855 35429597 44106233 50613710 70859194 88212466 177147985 220531165 248007179 308743631 354295970 441062330 496014358 617487262 1240035895 1543718155 2161205417 2480071790 3087436310 4322410834 10806027085 15128437919 21612054170 30256875838 75642189595 151284379190