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1631325311316 = 2232275316460077
BaseRepresentation
bin10111101111010010100…
…100001101000101010100
312202221201212101011200200
4113233102210031011110
5203211423234430231
63245230454540500
7225600522233211
oct27572244150524
95687655334620
101631325311316
11579928678528
122241b3667730
13baaaaa48bcc
1458d56b64b08
152c67b74cbe6
hex17bd290d154

1631325311316 has 36 divisors (see below), whose sum is σ = 4125125987892. Its totient is φ = 543577549824.

The previous prime is 1631325311269. The next prime is 1631325311381. The reversal of 1631325311316 is 6131135231361.

1631325311316 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 3 + 25 + 311 + 316 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 647777083716 + 983548227600 = 804846^2 + 991740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×16313253113162 (a number of 25 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 11 ways as a sum of consecutive naturals, for example, 8130931 + ... + 8329146.

It is an arithmetic number, because the mean of its divisors is an integer number (114586832997).

Almost surely, 21631325311316 is an apocalyptic number.

It is an amenable number.

1631325311316 is an abundant number, since it is smaller than the sum of its proper divisors (2493800676576).

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

1631325311316 is a wasteful number, since it uses less digits than its factorization.

1631325311316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16462840 (or 16462835 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The spelling of 1631325311316 in words is "one trillion, six hundred thirty-one billion, three hundred twenty-five million, three hundred eleven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2753 5506 8259 11012 16518 24777 33036 49554 99108 16460077 32920154 49380231 65840308 98760462 148140693 197520924 296281386 592562772 45314591981 90629183962 135943775943 181258367924 271887551886 407831327829 543775103772 815662655658 1631325311316