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313568490972 = 22311219311272887
BaseRepresentation
bin1001001000000100010…
…00110111010111011100
31002222101010102210012210
410210002020313113130
520114142013202342
6400015033000420
731440343124142
oct4440210672734
91088333383183
10313568490972
11110a90269400
1250931553110
1323752c163a9
14112691b1592
1582539a779c
hex49022375dc

313568490972 has 288 divisors, whose sum is σ = 881042391040. Its totient is φ = 86399913600.

The previous prime is 313568490959. The next prime is 313568491007. The reversal of 313568490972 is 279094865313.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108612513 + ... + 108615399.

It is a 1-persistent number, because it is pandigital, but 2⋅313568490972 = 627136981944 is not.

Almost surely, 2313568490972 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 313568490972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440521195520).

313568490972 is an abundant number, since it is smaller than the sum of its proper divisors (567473900068).

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

313568490972 is a wasteful number, since it uses less digits than its factorization.

313568490972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 313568490972 in words is "three hundred thirteen billion, five hundred sixty-eight million, four hundred ninety thousand, nine hundred seventy-two".