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2045014202512 = 241961791738069
BaseRepresentation
bin11101110000100100010…
…110000101100010010000
321020111112120000021012201
4131300210112011202100
5232001142113440022
64203244435332544
7300514233625051
oct35604426054220
97214476007181
102045014202512
11719316227446
12290407151154
1311aac83a8b68
1470d9cd78728
15382decc4127
hex1dc24585890

2045014202512 has 160 divisors (see below), whose sum is σ = 4318134336000. Its totient is φ = 935196088320.

The previous prime is 2045014202467. The next prime is 2045014202537. The reversal of 2045014202512 is 2152024105402.

It is a happy number.

It is a super-2 number, since 2×20450142025122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253436814 + ... + 253444882.

It is an arithmetic number, because the mean of its divisors is an integer number (26988339600).

Almost surely, 22045014202512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045014202512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159067168000).

2045014202512 is an abundant number, since it is smaller than the sum of its proper divisors (2273120133488).

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

2045014202512 is a wasteful number, since it uses less digits than its factorization.

2045014202512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8409 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 2045014202512 its reverse (2152024105402), we get a palindrome (4197038307914).

The spelling of 2045014202512 in words is "two trillion, forty-five billion, fourteen million, two hundred two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 38 61 76 79 122 152 158 173 244 304 316 346 488 632 692 976 1159 1264 1384 1501 2318 2768 3002 3287 4636 4819 6004 6574 8069 9272 9638 10553 12008 13148 13667 16138 18544 19276 21106 24016 26296 27334 32276 38552 42212 52592 54668 64552 77104 84424 91561 109336 129104 153311 168848 183122 200507 218672 259673 306622 366244 401014 492209 519346 613244 637451 732488 802028 833687 984418 1038692 1226488 1274902 1395937 1464976 1604056 1667374 1968836 2077384 2452976 2549804 2791874 3208112 3334748 3937672 4154768 5099608 5583748 6669496 7875344 9351971 10199216 11167496 12111569 13338992 15840053 18703942 22334992 24223138 26522803 31680106 37407884 38884511 48446276 53045606 63360212 74815768 77769022 85152157 96892552 106091212 110279023 126720424 149631536 155538044 170304314 193785104 212182424 220558046 253440848 311076088 340608628 424364848 441116092 622152176 681217256 738805709 882232184 1362434512 1477611418 1617890983 1764464368 2095301437 2955222836 3235781966 4190602874 5910445672 6471563932 6727020403 8381205748 11820891344 12943127864 13454040806 16762411496 25886255728 26908081612 33524822992 53816163224 107632326448 127813387657 255626775314 511253550628 1022507101256 2045014202512