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38540737164852 = 223213377131348307
BaseRepresentation
bin10001100001101011101101…
…11100101011011000110100
312001110110101020110021011100
420300311312330223120310
520022422412203233402
6213545211545210100
711055322252436436
oct1060656674533064
9161413336407140
1038540737164852
111130a04241367a
1243a5552a90930
1318674b6b86040
1497354b2aa656
1546c7ede1d71c
hex230d76f2b634

38540737164852 has 144 divisors (see below), whose sum is σ = 109269668656512. Its totient is φ = 11375673281280.

The previous prime is 38540737164847. The next prime is 38540737164859. The reversal of 38540737164852 is 25846173704583.

It is a happy number.

38540737164852 is a `hidden beast` number, since 3 + 8 + 540 + 7 + 3 + 7 + 1 + 6 + 4 + 85 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38540737164852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38540737164859) 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, 14444718 + ... + 16903589.

It is an arithmetic number, because the mean of its divisors is an integer number (758817143448).

Almost surely, 238540737164852 is an apocalyptic number.

It is an amenable number.

38540737164852 is an abundant number, since it is smaller than the sum of its proper divisors (70728931491660).

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

38540737164852 is a wasteful number, since it uses less digits than its factorization.

38540737164852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31348438 (or 31348433 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 38540737164852 in words is "thirty-eight trillion, five hundred forty billion, seven hundred thirty-seven million, one hundred sixty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 71 74 78 111 117 142 148 156 213 222 234 284 333 426 444 468 481 639 666 852 923 962 1278 1332 1443 1846 1924 2556 2627 2769 2886 3692 4329 5254 5538 5772 7881 8307 8658 10508 11076 15762 16614 17316 23643 31524 33228 34151 47286 68302 94572 102453 136604 204906 307359 409812 614718 1229436 31348307 62696614 94044921 125393228 188089842 282134763 376179684 407527991 564269526 815055982 1128539052 1159887359 1222583973 1630111964 2225729797 2319774718 2445167946 3479662077 3667751919 4451459594 4639549436 4890335892 6677189391 6959324154 7335503838 8902919188 10438986231 13354378782 13918648308 14671007676 15078535667 20031568173 20877972462 26708757564 28934487361 30157071334 40063136346 41755944924 45235607001 57868974722 60314142668 80126272692 82352002489 86803462083 90471214002 115737949444 135706821003 164704004978 173606924166 180942428004 247056007467 260410386249 271413642006 329408009956 347213848332 494112014934 520820772498 542827284012 741168022401 988224029868 1041641544996 1070576032357 1482336044802 2141152064714 2964672089604 3211728097071 4282304129428 6423456194142 9635184291213 12846912388284 19270368582426 38540737164852