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14983478100 = 22325217396233
BaseRepresentation
bin11011111010001010…
…11011101101010100
31102200020001112220100
431331011123231110
5221141232244400
610514443534100
71040206314423
oct157505335524
942606045810
1014983478100
116399867958
122aa1b2a330
13154a2b2a96
14a21d632ba
155ca64e100
hex37d15bb54

14983478100 has 108 divisors (see below), whose sum is σ = 47236843836. Its totient is φ = 3972456960.

The previous prime is 14983478089. The next prime is 14983478117. The reversal of 14983478100 is 187438941.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1972425744 + 13011052356 = 44412^2 + 114066^2 .

It is a super-2 number, since 2×149834781002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107584 + ... + 203816.

Almost surely, 214983478100 is an apocalyptic number.

14983478100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14983478100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23618421918).

14983478100 is an abundant number, since it is smaller than the sum of its proper divisors (32253365736).

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

14983478100 is a wasteful number, since it uses less digits than its factorization.

14983478100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96426 (or 96416 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 14983478100 in words is "fourteen billion, nine hundred eighty-three million, four hundred seventy-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 173 180 225 300 346 450 519 692 865 900 1038 1557 1730 2076 2595 3114 3460 4325 5190 6228 7785 8650 10380 12975 15570 17300 25950 31140 38925 51900 77850 96233 155700 192466 288699 384932 481165 577398 866097 962330 1154796 1443495 1732194 1924660 2405825 2886990 3464388 4330485 4811650 5773980 7217475 8660970 9623300 14434950 16648309 17321940 21652425 28869900 33296618 43304850 49944927 66593236 83241545 86609700 99889854 149834781 166483090 199779708 249724635 299669562 332966180 416207725 499449270 599339124 749173905 832415450 998898540 1248623175 1498347810 1664830900 2497246350 2996695620 3745869525 4994492700 7491739050 14983478100