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161706374232 = 233136136591283
BaseRepresentation
bin1001011010011001110…
…0110111010001011000
3120110101121001221101120
42112212130313101120
510122133312433412
6202141544445240
714453143334124
oct2264634672130
9513347057346
10161706374232
116264103a3a7
122740b179820
1312330938610
147b803b8584
15431669eb8c
hex25a6737458

161706374232 has 128 divisors (see below), whose sum is σ = 437075654400. Its totient is φ = 49560602112.

The previous prime is 161706374161. The next prime is 161706374233. The reversal of 161706374232 is 232473607161.

161706374232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1617063742322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161706374233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126037063 + ... + 126038345.

It is an arithmetic number, because the mean of its divisors is an integer number (3414653550).

Almost surely, 2161706374232 is an apocalyptic number.

161706374232 is a gapful number since it is divisible by the number (12) 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 161706374232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218537827200).

161706374232 is an abundant number, since it is smaller than the sum of its proper divisors (275369280168).

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

161706374232 is a wasteful number, since it uses less digits than its factorization.

161706374232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 161706374232 in words is "one hundred sixty-one billion, seven hundred six million, three hundred seventy-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 613 659 1226 1283 1318 1839 1977 2452 2566 2636 3678 3849 3954 4904 5132 5272 7356 7698 7908 7969 8567 10264 14712 15396 15816 15938 16679 17134 23907 25701 30792 31876 33358 34268 47814 50037 51402 63752 66716 68536 95628 100074 102804 133432 191256 200148 205608 400296 403967 786479 807934 845497 1211901 1572958 1615868 1690994 2359437 2423802 2536491 3145916 3231736 3381988 4718874 4847604 5072982 5251571 6291832 6763976 9437748 9695208 10145964 10224227 10503142 10991461 15754713 18875496 20291928 20448454 21006284 21982922 30672681 31509426 32974383 40896908 42012568 43965844 61345362 63018852 65948766 81793816 87931688 122690724 126037704 131897532 245381448 263795064 518289661 1036579322 1554868983 2073158644 3109737966 4146317288 6219475932 6737765593 12438951864 13475531186 20213296779 26951062372 40426593558 53902124744 80853187116 161706374232