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319950477972 = 22328887513277
BaseRepresentation
bin1001010011111101000…
…10001101101010010100
31010120211220021022112200
410221332202031222110
520220224310243342
6402552213044500
732054446122216
oct4517642155224
91116756238480
10319950477972
11113765781724
1252012926730
132422c187868
14116b2a165b6
1584c8de694c
hex4a7e88da94

319950477972 has 18 divisors (see below), whose sum is σ = 808763708298. Its totient is φ = 106650159312.

The previous prime is 319950477971. The next prime is 319950478009. The reversal of 319950477972 is 279774059913.

319950477972 is a `hidden beast` number, since 3 + 1 + 9 + 95 + 0 + 477 + 9 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 160131226896 + 159819251076 = 400164^2 + 399774^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3199504779722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319950477971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4443756603 + ... + 4443756674.

Almost surely, 2319950477972 is an apocalyptic number.

It is an amenable number.

319950477972 is an abundant number, since it is smaller than the sum of its proper divisors (488813230326).

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

319950477972 is a wasteful number, since it uses less digits than its factorization.

319950477972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887513287 (or 8887513282 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 319950477972 in words is "three hundred nineteen billion, nine hundred fifty million, four hundred seventy-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 8887513277 17775026554 26662539831 35550053108 53325079662 79987619493 106650159324 159975238986 319950477972