Search a number
-
+
19508314854 = 2378313142719
BaseRepresentation
bin10010001010110010…
…010100001011100110
31212100120100002000210
4102022302110023212
5304423112033404
612543442520250
71260301640340
oct221262241346
955316302023
1019508314854
118300a31766
123945366086
131abb874392
14d30c96290
157929e6689
hex48ac942e6

19508314854 has 64 divisors (see below), whose sum is σ = 45473218560. Its totient is φ = 5464486560.

The previous prime is 19508314853. The next prime is 19508314873. The reversal of 19508314854 is 45841380591.

It is a happy number.

It is a super-3 number, since 3×195083148543 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19508314853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435307 + ... + 478025.

It is an arithmetic number, because the mean of its divisors is an integer number (710519040).

Almost surely, 219508314854 is an apocalyptic number.

19508314854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19508314854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22736609280).

19508314854 is an abundant number, since it is smaller than the sum of its proper divisors (25964903706).

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

19508314854 is a wasteful number, since it uses less digits than its factorization.

19508314854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42945.

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 19508314854 in words is "nineteen billion, five hundred eight million, three hundred fourteen thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 83 131 166 249 262 393 498 581 786 917 1162 1743 1834 2751 3486 5502 10873 21746 32619 42719 65238 76111 85438 128157 152222 228333 256314 299033 456666 598066 897099 1794198 3545677 5596189 7091354 10637031 11192378 16788567 21274062 24819739 33577134 39173323 49639478 74459217 78346646 117519969 148918434 235039938 464483687 928967374 1393451061 2786902122 3251385809 6502771618 9754157427 19508314854