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36981664722 = 2342925212
BaseRepresentation
bin100010011100010001…
…110110101111010010
310112110022112012220000
4202130101312233102
51101214301232342
624553353230430
72446303651332
oct423421665722
9115408465800
1036981664722
1114758205082
127201102416
13364494b562
141b0b7910c2
15e66a2044c
hex89c476bd2

36981664722 has 90 divisors (see below), whose sum is σ = 85987357599. Its totient is φ = 11879300160.

The previous prime is 36981664711. The next prime is 36981664729. The reversal of 36981664722 is 22746618963.

36981664722 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 166 + 472 + 2 = 666.

36981664722 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 11429961921 + 25551702801 = 106911^2 + 159849^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=135981.

It is a super-2 number, since 2×369816647222 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36981664729) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 70981822 + ... + 70982342.

Almost surely, 236981664722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36981664722

36981664722 is an abundant number, since it is smaller than the sum of its proper divisors (49005692877).

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

36981664722 is an frugal number, since it uses more digits than its factorization.

36981664722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 555 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 36981664722 in words is "thirty-six billion, nine hundred eighty-one million, six hundred sixty-four thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 521 522 783 841 1042 1563 1566 1682 2349 2523 3126 4689 4698 5046 7569 9378 14067 15109 15138 22707 28134 30218 42201 45327 45414 68121 84402 90654 135981 136242 271441 271962 407943 438161 542882 814323 815886 876322 1223829 1314483 1628646 2442969 2447658 2628966 3943449 4885938 7328907 7871789 7886898 11830347 14657814 15743578 21986721 23615367 23660694 35491041 43973442 47230734 70846101 70982082 141692202 212538303 228281881 425076606 456563762 637614909 684845643 1275229818 1369691286 2054536929 4109073858 6163610787 12327221574 18490832361 36981664722