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161099136 = 27321112713
BaseRepresentation
bin10011001101000…
…10110110000000
3102020010200110200
421212202312000
5312220133021
623552525200
73664214532
oct1146426600
9366120420
10161099136
1182a33190
1245b50800
13274b6b43
1417577852
15e223126
hex99a2d80

161099136 has 96 divisors (see below), whose sum is σ = 505762920. Its totient is φ = 48814080.

The previous prime is 161099131. The next prime is 161099137. The reversal of 161099136 is 631990161.

161099136 is a `hidden beast` number, since 1 + 610 + 9 + 9 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 161099136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161099131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6316 + ... + 19028.

Almost surely, 2161099136 is an apocalyptic number.

161099136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161099136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252881460).

161099136 is an abundant number, since it is smaller than the sum of its proper divisors (344663784).

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

161099136 is a wasteful number, since it uses less digits than its factorization.

161099136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744 (or 12729 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 161099136 is about 12692.4834449370. The cubic root of 161099136 is about 544.1238184133.

The spelling of 161099136 in words is "one hundred sixty-one million, ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 12713 25426 38139 50852 76278 101704 114417 139843 152556 203408 228834 279686 305112 406816 419529 457668 559372 610224 813632 839058 915336 1118744 1220448 1258587 1627264 1678116 1830672 2237488 2440896 2517174 3356232 3661344 4474976 4881792 5034348 6712464 7322688 8949952 10068696 13424928 14645376 17899904 20137392 26849856 40274784 53699712 80549568 161099136