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189973067880 = 233519313772643
BaseRepresentation
bin1011000011101101000…
…1101111100001101000
3200011100112211202110010
42300323101233201220
511103031101133010
6223134502051520
716503465301521
oct2607321574150
9604315752403
10189973067880
1173626931742
1230999719ba0
1314bb6b9224b
1492a254b848
154e1d046620
hex2c3b46f868

189973067880 has 256 divisors, whose sum is σ = 636012748800. Its totient is φ = 45189135360.

The previous prime is 189973067863. The next prime is 189973067897. The reversal of 189973067880 is 88760379981.

189973067880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4358592-1.

It is an interprime number because it is at equal distance from previous prime (189973067863) and next prime (189973067897).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2578839 + ... + 2651481.

It is an arithmetic number, because the mean of its divisors is an integer number (2484424800).

Almost surely, 2189973067880 is an apocalyptic number.

189973067880 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 189973067880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318006374400).

189973067880 is an abundant number, since it is smaller than the sum of its proper divisors (446039680920).

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

189973067880 is a wasteful number, since it uses less digits than its factorization.

189973067880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72744 (or 72740 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 66.

The spelling of 189973067880 in words is "one hundred eighty-nine billion, nine hundred seventy-three million, sixty-seven thousand, eight hundred eighty".