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2154052135134 = 2322385315793863
BaseRepresentation
bin11111010110000111100…
…000110010100011011110
321121220222121010011020200
4133112013200302203132
5240242444321311014
64325320300524330
7311424264022254
oct37260740624336
97556877104220
102154052135134
1176058a302049
122a95778506a6
1312818448a413
14763844865d4
153b0726cea09
hex1f5878328de

2154052135134 has 96 divisors (see below), whose sum is σ = 4880091041280. Its totient is φ = 685382157504.

The previous prime is 2154052135127. The next prime is 2154052135141. The reversal of 2154052135134 is 4315312504512.

2154052135134 is a `hidden beast` number, since 2 + 1 + 5 + 405 + 213 + 5 + 1 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (2154052135127) and next prime (2154052135141).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557609287 + ... + 557613149.

It is an arithmetic number, because the mean of its divisors is an integer number (50834281680).

Almost surely, 22154052135134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154052135134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440045520640).

2154052135134 is an abundant number, since it is smaller than the sum of its proper divisors (2726038906146).

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

2154052135134 is a wasteful number, since it uses less digits than its factorization.

2154052135134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6323 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 2154052135134 its reverse (4315312504512), we get a palindrome (6469364639646).

The spelling of 2154052135134 in words is "two trillion, one hundred fifty-four billion, fifty-two million, one hundred thirty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 853 1579 1706 2559 3158 3863 4737 5118 7677 7726 9474 11589 14211 15354 19619 23178 28422 34767 36317 39238 58857 69534 72634 88849 108951 117714 176571 177698 217902 266547 326853 353142 533094 653706 799641 1346887 1599282 2693774 3295139 4040661 6099677 6590278 8081322 9885417 12121983 12199354 18299031 19770834 24243966 29656251 30978401 36598062 54897093 59312502 61956802 75788197 92935203 109794186 140292571 151576394 185870406 227364591 278805609 280585142 420877713 454729182 557611218 682093773 841755426 1262633139 1364187546 2525266278 5203024481 10406048962 15609073443 31218146886 46827220329 93654440658 119669563063 239339126126 359008689189 718017378378 1077026067567 2154052135134