Search a number
-
+
42500947398 = 23713374195021
BaseRepresentation
bin100111100101010000…
…001111110111000110
311001200222000211100220
4213211100033313012
51144020220304043
631305154445210
73033133043430
oct474520176706
9131628024326
1042500947398
111702a749918
1282a1593806
134014253cb0
1420b27c7650
15118b34d483
hex9e540fdc6

42500947398 has 128 divisors (see below), whose sum is σ = 107723105280. Its totient is φ = 10877898240.

The previous prime is 42500947387. The next prime is 42500947421. The reversal of 42500947398 is 89374900524.

It is a self number, because there is not a number n which added to its sum of digits gives 42500947398.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8462128 + ... + 8467148.

It is an arithmetic number, because the mean of its divisors is an integer number (841586760).

Almost surely, 242500947398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42500947398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53861552640).

42500947398 is an abundant number, since it is smaller than the sum of its proper divisors (65222157882).

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

42500947398 is a wasteful number, since it uses less digits than its factorization.

42500947398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 42500947398 in words is "forty-two billion, five hundred million, nine hundred forty-seven thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 419 481 518 546 777 838 962 1257 1443 1554 2514 2886 2933 3367 5021 5447 5866 6734 8799 10042 10101 10894 15063 15503 16341 17598 20202 30126 31006 32682 35147 38129 46509 65273 70294 76258 93018 105441 108521 114387 130546 185777 195819 201539 210882 217042 228774 325563 371554 391638 403078 456911 557331 604617 651126 913822 1114662 1209234 1300439 1370733 1410773 2103799 2415101 2600878 2741466 2821546 3901317 4207598 4232319 4830202 6311397 7245303 7802634 8464638 12622794 14490606 14726593 16905707 27349387 29453186 33811414 44179779 50717121 54698774 77840563 82048161 88359558 101434242 155681126 164096322 191445709 233521689 382891418 467043378 544883941 574337127 1011927319 1089767882 1148674254 1634651823 2023854638 3035781957 3269303646 6071563914 7083491233 14166982466 21250473699 42500947398