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331641351410004 = 223253333495212037
BaseRepresentation
bin100101101101000000100010…
…0111100011001000101010100
31121111020121021222220002211100
41023122001010330121011110
5321432102441430110004
63133201533352310100
7126566203565024106
oct11332010474310524
91544217258802740
10331641351410004
1196742341aa9379
12312423956a2330
13113088507b772c
145bc7754341576
152851b4519b739
hex12da044f19154

331641351410004 has 72 divisors (see below), whose sum is σ = 854158690312200. Its totient is φ = 108458049353472.

The previous prime is 331641351409937. The next prime is 331641351410051. The reversal of 331641351410004 is 400014153146133.

331641351410004 is a `hidden beast` number, since 3 + 3 + 1 + 641 + 3 + 5 + 1 + 4 + 1 + 0 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 238914273749904 + 92727077660100 = 15456852^2 + 9629490^2 .

It is a super-2 number, since 2×3316413514100042 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61023874 + ... + 66235910.

It is an arithmetic number, because the mean of its divisors is an integer number (11863315143225).

Almost surely, 2331641351410004 is an apocalyptic number.

It is an amenable number.

331641351410004 is an abundant number, since it is smaller than the sum of its proper divisors (522517338902196).

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

331641351410004 is a wasteful number, since it uses less digits than its factorization.

331641351410004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5245449 (or 5245444 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 331641351410004 in words is "three hundred thirty-one trillion, six hundred forty-one billion, three hundred fifty-one million, four hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 33349 66698 100047 133396 200094 300141 400188 600282 1200564 1767497 3534994 5212037 5302491 7069988 10424074 10604982 15636111 15907473 20848148 21209964 31272222 31814946 46908333 62544444 63629892 93816666 187633332 276237961 552475922 828713883 1104951844 1657427766 2486141649 3314855532 4972283298 9944566596 173816221913 347632443826 521448665739 695264887652 1042897331478 1564345997217 2085794662956 3128691994434 6257383988868 9212259761389 18424519522778 27636779284167 36849039045556 55273558568334 82910337852501 110547117136668 165820675705002 331641351410004