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161433653204064 = 2533813734409333
BaseRepresentation
bin100100101101001010110011…
…100011011101010001100000
3210011120220110212010201222010
4210231022303203131101200
5132124412110210012224
61331201332500512520
746001124263352423
oct4455126343352140
9704526425121863
10161433653204064
114748a69a73790a
1216132b0b9ab740
136c101887b10a7
142bc160543b9ba
15139e3d6bcbe29
hex92d2b38dd460

161433653204064 has 48 divisors (see below), whose sum is σ = 423764546918832. Its totient is φ = 53811064432128.

The previous prime is 161433653204063. The next prime is 161433653204101. The reversal of 161433653204064 is 460402356334161.

161433653204064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1614336532040642 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161433653204063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34407142 + ... + 38816474.

It is an arithmetic number, because the mean of its divisors is an integer number (8828428060809).

Almost surely, 2161433653204064 is an apocalyptic number.

It is an amenable number.

161433653204064 is an abundant number, since it is smaller than the sum of its proper divisors (262330893714768).

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

161433653204064 is a wasteful number, since it uses less digits than its factorization.

161433653204064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790719 (or 4790711 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 161433653204064 in words is "one hundred sixty-one trillion, four hundred thirty-three billion, six hundred fifty-three million, two hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 381373 762746 1144119 1525492 2288238 3050984 4409333 4576476 6101968 8818666 9152952 12203936 13227999 17637332 18305904 26455998 35274664 36611808 52911996 70549328 105823992 141098656 211647984 423295968 1681600554209 3363201108418 5044801662627 6726402216836 10089603325254 13452804433672 20179206650508 26905608867344 40358413301016 53811217734688 80716826602032 161433653204064