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161131861037728 = 25725110657268921
BaseRepresentation
bin100100101000110001101111…
…010101101101001010100000
3210010112001111102221020012001
4210220301233111231022200
5132104441022411201403
61330410542143213344
745640251504310240
oct4450615725551240
9703461442836161
10161131861037728
1147383702947509
12160a45262a7254
136bba8915a5c39
142bb0b762a1b20
151396622010c1d
hex928c6f56d2a0

161131861037728 has 96 divisors (see below), whose sum is σ = 364026605217408. Its totient is φ = 68774676480000.

The previous prime is 161131861037723. The next prime is 161131861037737. The reversal of 161131861037728 is 827730168131161.

It is a super-3 number, since 3×1611318610377283 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (161131861037723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599044708 + ... + 599313628.

It is an arithmetic number, because the mean of its divisors is an integer number (3791943804348).

Almost surely, 2161131861037728 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 161131861037728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182013302608704).

161131861037728 is an abundant number, since it is smaller than the sum of its proper divisors (202894744179680).

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

161131861037728 is a wasteful number, since it uses less digits than its factorization.

161131861037728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279846 (or 279838 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 55.

The spelling of 161131861037728 in words is "one hundred sixty-one trillion, one hundred thirty-one billion, eight hundred sixty-one million, thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 251 502 1004 1757 2008 3514 4016 7028 8032 10657 14056 21314 28112 42628 56224 74599 85256 149198 170512 268921 298396 341024 537842 596792 1075684 1193584 1882447 2151368 2387168 2674907 3764894 4302736 5349814 7529788 8605472 10699628 15059576 18724349 21399256 30119152 37448698 42798512 60238304 67499171 74897396 85597024 134998342 149794792 269996684 299589584 472494197 539993368 599179168 944988394 1079986736 1889976788 2159973472 2865891097 3779953576 5731782194 7559907152 11463564388 15119814304 20061237679 22927128776 40122475358 45854257552 80244950716 91708515104 160489901432 320979802864 641959605728 719338665347 1438677330694 2877354661388 5035370657429 5754709322776 10070741314858 11509418645552 20141482629716 23018837291104 40282965259432 80565930518864 161131861037728