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99780342480 = 243457213231051
BaseRepresentation
bin101110011101101011…
…1110011001011010000
3100112112212022120210000
41130323113303023100
53113322231424410
6113501035010000
710131435626400
oct1347327631320
9315485276700
1099780342480
1139353447165
1217408299900
139542161b90
144b87c02800
1528deceadc0
hex173b5f32d0

99780342480 has 1200 divisors, whose sum is σ = 453448727424. Its totient is φ = 20118067200.

The previous prime is 99780342469. The next prime is 99780342523. The reversal of 99780342480 is 8424308799.

99780342480 is a `hidden beast` number, since 99 + 78 + 0 + 3 + 4 + 2 + 480 = 666.

99780342480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×997803424802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 94937955 + ... + 94939005.

Almost surely, 299780342480 is an apocalyptic number.

99780342480 is a gapful number since it is divisible by the number (90) 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 99780342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226724363712).

99780342480 is an abundant number, since it is smaller than the sum of its proper divisors (353668384944).

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

99780342480 is a wasteful number, since it uses less digits than its factorization.

99780342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 99780342480 in words is "ninety-nine billion, seven hundred eighty million, three hundred forty-two thousand, four hundred eighty".