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31673424672 = 2532104872
BaseRepresentation
bin11101011111111000…
…100001101100100000
310000202101010200110200
4131133320201230200
51004331344042142
622314531225200
72200616444661
oct353770415440
9100671120420
1031673424672
111248390582a
12617b448200
132ca9c98406
1417667b3368
15c559cd64c
hex75fe21b20

31673424672 has 54 divisors (see below), whose sum is σ = 90079891083. Its totient is φ = 10556801472.

The previous prime is 31673424583. The next prime is 31673424677. The reversal of 31673424672 is 27642437613.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

31673424672 is a `hidden beast` number, since 3 + 167 + 3 + 424 + 67 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15836712336 + 15836712336 = 125844^2 + 125844^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=125844.

It is not an unprimeable number, because it can be changed into a prime (31673424677) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3015013 + ... + 3025499.

Almost surely, 231673424672 is an apocalyptic number.

31673424672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31673424672 is an abundant number, since it is smaller than the sum of its proper divisors (58406466411).

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

31673424672 is an frugal number, since it uses more digits than its factorization.

31673424672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20990 (or 10492 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 31673424672 in words is "thirty-one billion, six hundred seventy-three million, four hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10487 20974 31461 41948 62922 83896 94383 125844 167792 188766 251688 335584 377532 503376 755064 1006752 1510128 3020256 109977169 219954338 329931507 439908676 659863014 879817352 989794521 1319726028 1759634704 1979589042 2639452056 3519269408 3959178084 5278904112 7918356168 10557808224 15836712336 31673424672