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3663988668 = 223461892083
BaseRepresentation
bin1101101001100100…
…0000011110111100
3100110100102220120000
43122121000132330
530000440114133
61403323554300
7156540250464
oct33231003674
910410386500
103663988668
111610253a0a
1286308b990
13465125742
1426a888ba4
15166a01413
hexda6407bc

3663988668 has 120 divisors (see below), whose sum is σ = 9849525840. Its totient is φ = 1187239680.

The previous prime is 3663988667. The next prime is 3663988693. The reversal of 3663988668 is 8668893663.

3663988668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663988661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1757955 + ... + 1760037.

It is an arithmetic number, because the mean of its divisors is an integer number (82079382).

Almost surely, 23663988668 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 3663988668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924762920).

3663988668 is an abundant number, since it is smaller than the sum of its proper divisors (6185537172).

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

3663988668 is a wasteful number, since it uses less digits than its factorization.

3663988668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2238 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The square root of 3663988668 is about 60530.8901966591. The cubic root of 3663988668 is about 1541.6461662970.

The spelling of 3663988668 in words is "three billion, six hundred sixty-three million, nine hundred eighty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 89 108 122 162 178 183 244 267 324 356 366 534 549 732 801 1068 1098 1602 1647 2083 2196 2403 3204 3294 4166 4806 4941 5429 6249 6588 7209 8332 9612 9882 10858 12498 14418 16287 18747 19764 21716 24996 28836 32574 37494 48861 56241 65148 74988 97722 112482 127063 146583 168723 185387 195444 224964 254126 293166 337446 370774 381189 439749 508252 556161 586332 674892 741548 762378 879498 1112322 1143567 1524756 1668483 1758996 2224644 2287134 3336966 3430701 4574268 5005449 6673932 6861402 10010898 10292103 11308607 13722804 15016347 20021796 20584206 22617214 30032694 33925821 41168412 45234428 60065388 67851642 101777463 135703284 203554926 305332389 407109852 610664778 915997167 1221329556 1831994334 3663988668