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4077918054 = 2337191813137
BaseRepresentation
bin1111001100010000…
…0001011101100110
3101112012022200221000
43303010001131212
531322421334204
61512351534130
7203024505630
oct36304013546
911465280830
104077918054
111802973211
1295982a346
134ccb03282
142a9837a50
1518d017039
hexf3101766

4077918054 has 128 divisors (see below), whose sum is σ = 10965427200. Its totient is φ = 1097349120.

The previous prime is 4077918041. The next prime is 4077918077. The reversal of 4077918054 is 4508197704.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1298374 + ... + 1301510.

It is an arithmetic number, because the mean of its divisors is an integer number (85667400).

Almost surely, 24077918054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4077918054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482713600).

4077918054 is an abundant number, since it is smaller than the sum of its proper divisors (6887509146).

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

4077918054 is a wasteful number, since it uses less digits than its factorization.

4077918054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4077918054 is about 63858.5785466604. The cubic root of 4077918054 is about 1597.6421068673.

The spelling of 4077918054 in words is "four billion, seventy-seven million, nine hundred eighteen thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 181 189 266 342 362 378 399 513 543 798 1026 1086 1197 1267 1629 2394 2534 3137 3258 3439 3591 3801 4887 6274 6878 7182 7602 9411 9774 10317 11403 18822 20634 21959 22806 24073 28233 30951 34209 43918 48146 56466 59603 61902 65877 68418 72219 84699 92853 119206 131754 144438 169398 178809 185706 197631 216657 357618 395262 417221 433314 536427 567797 592893 649971 834442 1072854 1135594 1185786 1251663 1299942 1609281 1703391 2503326 3218562 3406782 3754989 3974579 5110173 7509978 7949158 10220346 10788143 11264967 11923737 15330519 21576286 22529934 23847474 30661038 32364429 35771211 64728858 71542422 75517001 97093287 107313633 151034002 194186574 214627266 226551003 291279861 453102006 582559722 679653009 1359306018 2038959027 4077918054