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81381255012 = 2235195877507
BaseRepresentation
bin100101111001010110…
…0110110011101100100
321210001121012002200000
41023302230312131210
52313132100130022
6101215214421300
75610463153101
oct1136254663544
9253047162600
1081381255012
1131571662452
1213932501830
13789c34c485
143d203abaa8
1521b48ae6ac
hex12f2b36764

81381255012 has 144 divisors (see below), whose sum is σ = 224973315840. Its totient is φ = 25652145312.

The previous prime is 81381255001. The next prime is 81381255013. The reversal of 81381255012 is 21055218318.

81381255012 is a `hidden beast` number, since 8 + 13 + 81 + 2 + 550 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81381255013) 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, 10836963 + ... + 10844469.

Almost surely, 281381255012 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 81381255012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112486657920).

81381255012 is an abundant number, since it is smaller than the sum of its proper divisors (143592060828).

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

81381255012 is a wasteful number, since it uses less digits than its factorization.

81381255012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8132 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 81381255012 in words is "eighty-one billion, three hundred eighty-one million, two hundred fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 587 684 972 1026 1174 1539 1761 2052 2348 3078 3522 4617 5283 6156 7044 7507 9234 10566 11153 15014 15849 18468 21132 22306 22521 30028 31698 33459 44612 45042 47547 63396 66918 67563 90084 95094 100377 133836 135126 142633 142641 190188 200754 202689 270252 285266 285282 301131 401508 405378 427899 570532 570564 602262 608067 810756 855798 903393 1204524 1216134 1283697 1711596 1806786 1824201 2432268 2567394 2710179 3613572 3648402 3851091 4406609 5134788 5420358 7296804 7702182 8813218 10840716 11553273 13219827 15404364 17626436 23106546 26439654 34659819 39659481 46213092 52879308 69319638 79318962 83725571 118978443 138639276 158637924 167451142 237956886 251176713 334902284 356935329 475913772 502353426 713870658 753530139 1004706852 1070805987 1427741316 1507060278 2141611974 2260590417 3014120556 4283223948 4521180834 6781771251 9042361668 13563542502 20345313753 27127085004 40690627506 81381255012