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27931044996 = 2235372632953
BaseRepresentation
bin11010000000110100…
…011110110010000100
32200002120012002200000
4122000310132302010
5424200321414441
620455323121300
72006104652031
oct320064366204
980076162600
1027931044996
111093338a568
1254b6073230
132831856a7a
1414cd760388
15ad71952b6
hex680d1ec84

27931044996 has 144 divisors (see below), whose sum is σ = 75508777344. Its totient is φ = 9021217536.

The previous prime is 27931044961. The next prime is 27931045061. The reversal of 27931044996 is 69944013972.

27931044996 is a `hidden beast` number, since 27 + 93 + 1 + 0 + 449 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 9457056 + ... + 9460008.

Almost surely, 227931044996 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 27931044996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37754388672).

27931044996 is an abundant number, since it is smaller than the sum of its proper divisors (47577732348).

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

27931044996 is a wasteful number, since it uses less digits than its factorization.

27931044996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 27931044996 in words is "twenty-seven billion, nine hundred thirty-one million, forty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 263 324 333 444 486 526 666 789 972 999 1052 1332 1578 1998 2367 2953 2997 3156 3996 4734 5906 5994 7101 8859 8991 9468 9731 11812 11988 14202 17718 17982 19462 21303 26577 28404 29193 35436 35964 38924 42606 53154 58386 63909 79731 85212 87579 106308 109261 116772 127818 159462 175158 218522 239193 255636 262737 318924 327783 350316 437044 478386 525474 655566 717579 776639 788211 956772 983349 1050948 1311132 1435158 1553278 1576422 1966698 2329917 2364633 2870316 2950047 3106556 3152844 3933396 4659834 4729266 5900094 6989751 8850141 9319668 9458532 11800188 13979502 17700282 20969253 26550423 27959004 28735643 35400564 41938506 53100846 57471286 62907759 83877012 86206929 106201692 114942572 125815518 172413858 188723277 251631036 258620787 344827716 377446554 517241574 754893108 775862361 1034483148 1551724722 2327587083 3103449444 4655174166 6982761249 9310348332 13965522498 27931044996