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2084271778148 = 2271741719148537
BaseRepresentation
bin11110010101001000010…
…001110110100101100100
321101020212111001201221112
4132111020101312211210
5233122042033400043
64233300133404152
7303404124541250
oct36251021664544
97336774051845
102084271778148
11733a3109a02a
12297b42499658
131217136b6b61
1472c44ac7260
153933b508518
hex1e548476964

2084271778148 has 96 divisors (see below), whose sum is σ = 4527723432960. Its totient is φ = 819063152640.

The previous prime is 2084271778129. The next prime is 2084271778153. The reversal of 2084271778148 is 8418771724802.

It is a super-3 number, since 3×20842717781483 (a number of 38 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 13957736 + ... + 14106272.

It is an arithmetic number, because the mean of its divisors is an integer number (47163785760).

Almost surely, 22084271778148 is an apocalyptic number.

2084271778148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084271778148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263861716480).

2084271778148 is an abundant number, since it is smaller than the sum of its proper divisors (2443451654812).

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

2084271778148 is a wasteful number, since it uses less digits than its factorization.

2084271778148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149325 (or 149323 counting only the distinct ones).

The product of its (nonzero) digits is 11239424, while the sum is 59.

The spelling of 2084271778148 in words is "two trillion, eighty-four billion, two hundred seventy-one million, seven hundred seventy-eight thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 164 238 287 476 574 697 719 1148 1394 1438 2788 2876 4879 5033 9758 10066 12223 19516 20132 24446 29479 48892 58958 85561 117916 148537 171122 206353 297074 342244 412706 501143 594148 825412 1002286 1039759 2004572 2079518 2525129 3508001 4159036 5050258 6090017 7016002 10100516 12180034 14032004 17675903 24360068 35351806 42630119 70703612 85260238 103530289 106798103 170520476 207060578 213596206 414121156 427192412 724712023 747586721 1449424046 1495173442 1815567751 2898848092 2990346884 3631135502 4378722223 7262271004 8757444446 12708974257 17514888892 25417948514 30651055561 50835897028 61302111122 74438277791 122604222244 148876555582 297753111164 521067944537 1042135889074 2084271778148