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10000196308800 = 2632521634260479
BaseRepresentation
bin1001000110000101101000…
…1001100000111101000000
31022102000020212121202212200
42101201122021200331000
52302320400223340200
633134005440353200
72051330121056205
oct221413211407500
938360225552780
1010000196308800
1132060721257a5
121156131615800
13577025a1c689
1426802522dcac
151251dc2bd800
hex9185a260f40

10000196308800 has 252 divisors, whose sum is σ = 35761122808320. Its totient is φ = 2650358154240.

The previous prime is 10000196308783. The next prime is 10000196308801. The reversal of 10000196308800 is 880369100001.

10000196308800 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 19 + 630 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000196308801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216961 + ... + 4477439.

Almost surely, 210000196308800 is an apocalyptic number.

10000196308800 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 10000196308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17880561404160).

10000196308800 is an abundant number, since it is smaller than the sum of its proper divisors (25760926499520).

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

10000196308800 is a wasteful number, since it uses less digits than its factorization.

10000196308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260670 (or 4260652 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10000196308800 in words is "ten trillion, one hundred ninety-six million, three hundred eight thousand, eight hundred".