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332164404461233 = 19103119338772209
BaseRepresentation
bin100101110000110100000110…
…1010101011011111010110001
31121120002121101110111011021001
41023201220031111123322301
5322014140200020224413
63134242115410402001
7126652041410426401
oct11341501525337261
91546077343434231
10332164404461233
11969241508a0423
123130782ab90301
1311345c799aa806
145c04bb3102801
152860559abd4dd
hex12e1a0d55beb1

332164404461233 has 16 divisors (see below), whose sum is σ = 350166973449600. Its totient is φ = 314214174570240.

The previous prime is 332164404461231. The next prime is 332164404461237.

332164404461233 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 332164404461233 - 21 = 332164404461231 is a prime.

It is a super-2 number, since 2×3321644044612332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332164404461231) 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, 33479433 + ... + 42251641.

It is an arithmetic number, because the mean of its divisors is an integer number (21885435840600).

Almost surely, 2332164404461233 is an apocalyptic number.

It is an amenable number.

332164404461233 is a deficient number, since it is larger than the sum of its proper divisors (18002568988367).

332164404461233 is a wasteful number, since it uses less digits than its factorization.

332164404461233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8775192.

The product of its (nonzero) digits is 2985984, while the sum is 46.

It can be divided in two parts, 33216440 and 4461233, that added together give a palindrome (37677673).

The spelling of 332164404461233 in words is "three hundred thirty-two trillion, one hundred sixty-four billion, four hundred four million, four hundred sixty-one thousand, two hundred thirty-three".

Divisors: 1 19 1031 1933 19589 36727 1992923 8772209 37865537 166671971 9044147479 16956679997 171838802101 322176919943 17482337076907 332164404461233