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3721468656 = 24331280677
BaseRepresentation
bin1101110111010001…
…0001101011110000
3100121100121012021110
43131310101223300
530110143444111
61413135553320
7161135650563
oct33564215360
910540535243
103721468656
11163a743534
1287a38b840
13473ccc679
1427436c4da
1516baa75a6
hexddd11af0

3721468656 has 60 divisors (see below), whose sum is σ = 9934043496. Its totient is φ = 1200458880.

The previous prime is 3721468627. The next prime is 3721468757. The reversal of 3721468656 is 6568641273.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 11 ways as a sum of consecutive naturals, for example, 5790 + ... + 86466.

Almost surely, 23721468656 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 3721468656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967021748).

3721468656 is an abundant number, since it is smaller than the sum of its proper divisors (6212574840).

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

3721468656 is a wasteful number, since it uses less digits than its factorization.

3721468656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80750 (or 80713 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 3721468656 is about 61003.8413216742. The cubic root of 3721468656 is about 1549.6660613933. Note that the first 3 decimals are identical.

The spelling of 3721468656 in words is "three billion, seven hundred twenty-one million, four hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2883 3844 5766 7688 11532 15376 23064 46128 80677 161354 242031 322708 484062 645416 968124 1290832 1936248 2500987 3872496 5001974 7502961 10003948 15005922 20007896 30011844 40015792 60023688 77530597 120047376 155061194 232591791 310122388 465183582 620244776 930367164 1240489552 1860734328 3721468656