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81744672754872 = 23322820140258951
BaseRepresentation
bin10010100101100010101010…
…001011101000110010111000
3101201102201021210102220222200
4102211202222023220302320
541203301042211123442
6445504552332350200
723134600123625631
oct2245425213506270
9351381253386880
1081744672754872
11240567a2766656
1292027b9615360
13367c64975bc4a
14162866b308888
1596b5770a434c
hex4a58aa2e8cb8

81744672754872 has 48 divisors (see below), whose sum is σ = 221399678039280. Its totient is φ = 27247257360000.

The previous prime is 81744672754861. The next prime is 81744672754873. The reversal of 81744672754872 is 27845727644718.

81744672754872 is a `hidden beast` number, since 8 + 1 + 7 + 4 + 4 + 6 + 7 + 2 + 7 + 548 + 72 = 666.

It is a super-2 number, since 2×817446727548722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 81744672754872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81744672754873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18099004 + ... + 22159947.

It is an arithmetic number, because the mean of its divisors is an integer number (4612493292485).

Almost surely, 281744672754872 is an apocalyptic number.

It is an amenable number.

81744672754872 is an abundant number, since it is smaller than the sum of its proper divisors (139655005284408).

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

81744672754872 is a wasteful number, since it uses less digits than its factorization.

81744672754872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40287164 (or 40287157 counting only the distinct ones).

The product of its digits is 1180139520, while the sum is 72.

The spelling of 81744672754872 in words is "eighty-one trillion, seven hundred forty-four billion, six hundred seventy-two million, seven hundred fifty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 28201 56402 84603 112804 169206 225608 253809 338412 507618 676824 1015236 2030472 40258951 80517902 120776853 161035804 241553706 322071608 362330559 483107412 724661118 966214824 1449322236 2898644472 1135342677151 2270685354302 3406028031453 4541370708604 6812056062906 9082741417208 10218084094359 13624112125812 20436168188718 27248224251624 40872336377436 81744672754872