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2047830214014 = 2341329103325537
BaseRepresentation
bin11101110011001100001…
…100010100010101111110
321020202210210211110210000
4131303030030110111332
5232022424013322024
64204432112255130
7300644066421114
oct35631414242576
97222723743700
102047830214014
1171a530850582
12290a722414a6
1311b156920c60
1471188d69ab4
1538407122cc9
hex1dccc31457e

2047830214014 has 160 divisors (see below), whose sum is σ = 5161678441920. Its totient is φ = 602465568768.

The previous prime is 2047830214007. The next prime is 2047830214021. The reversal of 2047830214014 is 4104120387402.

2047830214014 is a `hidden beast` number, since 2 + 0 + 478 + 30 + 2 + 140 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (2047830214007) and next prime (2047830214021).

It is a self number, because there is not a number n which added to its sum of digits gives 2047830214014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6127854 + ... + 6453390.

It is an arithmetic number, because the mean of its divisors is an integer number (32260490262).

Almost surely, 22047830214014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047830214014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580839220960).

2047830214014 is an abundant number, since it is smaller than the sum of its proper divisors (3113848227906).

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

2047830214014 is a wasteful number, since it uses less digits than its factorization.

2047830214014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325696 (or 325687 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2047830214014 in words is "two trillion, forty-seven billion, eight hundred thirty million, two hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 103 117 162 174 206 234 261 309 351 377 522 618 702 754 783 927 1053 1131 1339 1566 1854 2106 2262 2349 2678 2781 2987 3393 4017 4698 5562 5974 6786 8034 8343 8961 10179 12051 16686 17922 20358 24102 26883 30537 36153 38831 53766 61074 72306 77662 80649 108459 116493 161298 216918 232986 241947 325537 349479 483894 651074 698958 976611 1048437 1953222 2096874 2929833 3145311 4231981 5859666 6290622 8463962 8789499 9440573 12695943 17578998 18881146 25391886 26368497 28321719 33530311 38087829 52736994 56643438 67060622 76175658 84965157 100590933 114263487 122727449 169930314 201181866 228526974 245454898 254895471 301772799 342790461 368182347 435894043 509790942 603545598 685580922 736364694 764686413 871788086 905318397 972379019 1104547041 1307682129 1529372826 1810636794 1944758038 2209094082 2615364258 2715955191 2917137057 3313641123 3923046387 5431910382 5834274114 6627282246 7846092774 8751411171 9940923369 11769139161 12640927247 17502822342 19881846738 23538278322 25281854494 26254233513 35307417483 37922781741 52508467026 70614834966 75845563482 78762700539 113768345223 157525401078 227536690446 341305035669 682610071338 1023915107007 2047830214014