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21154374276 = 223721131811759
BaseRepresentation
bin10011101100111001…
…100010001010000100
32000121021200120001120
4103230321202022010
5321311004434101
613415043353540
71346140133400
oct235471421204
960537616046
1021154374276
118a76102552
1241246828b0
131cc18b5a39
14104973a100
1583c292b36
hex4ece62284

21154374276 has 144 divisors (see below), whose sum is σ = 58280302080. Its totient is φ = 5954135040.

The previous prime is 21154374271. The next prime is 21154374287. The reversal of 21154374276 is 67247345112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (21154374271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12025485 + ... + 12027243.

It is an arithmetic number, because the mean of its divisors is an integer number (404724320).

Almost surely, 221154374276 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 21154374276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29140151040).

21154374276 is an abundant number, since it is smaller than the sum of its proper divisors (37125927804).

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

21154374276 is a wasteful number, since it uses less digits than its factorization.

21154374276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2065 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The spelling of 21154374276 in words is "twenty-one billion, one hundred fifty-four million, three hundred seventy-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 147 181 196 226 294 339 362 452 543 588 678 724 791 1086 1267 1356 1582 1759 2172 2373 2534 3164 3518 3801 4746 5068 5277 5537 7036 7602 8869 9492 10554 11074 12313 15204 16611 17738 20453 21108 22148 24626 26607 33222 35476 36939 40906 49252 53214 61359 66444 73878 81812 86191 106428 122718 143171 147756 172382 198767 245436 258573 286342 318379 344764 397534 429513 517146 572684 596301 636758 795068 859026 955137 1002197 1034292 1192602 1273516 1391369 1718052 1910274 2004394 2228653 2385204 2782738 3006591 3820548 4008788 4174107 4457306 5565476 6013182 6685959 8348214 8914612 9739583 12026364 13371918 15600571 16696428 19479166 26743836 29218749 31201142 35976827 38958332 46801713 58437498 62402284 71953654 93603426 107930481 116874996 143907308 187206852 215860962 251837789 431721924 503675578 755513367 1007351156 1511026734 1762864523 3022053468 3525729046 5288593569 7051458092 10577187138 21154374276