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189037107840 = 27357229193359
BaseRepresentation
bin1011000000001101111…
…1010101101010000000
3200001221022200001122110
42300003133111222000
511044121444422330
6222501545135320
716441341622200
oct2600337255200
9601838601573
10189037107840
1173196579049
123077818a540
1314a97cb7b39
149214110400
154db5cb4db0
hex2c037d5a80

189037107840 has 768 divisors, whose sum is σ = 730889568000. Its totient is φ = 41386770432.

The previous prime is 189037107839. The next prime is 189037107859. The reversal of 189037107840 is 48701730981.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 189037107840.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526565581 + ... + 526565939.

It is an arithmetic number, because the mean of its divisors is an integer number (951679125).

Almost surely, 2189037107840 is an apocalyptic number.

189037107840 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 189037107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365444784000).

189037107840 is an abundant number, since it is smaller than the sum of its proper divisors (541852460160).

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

189037107840 is a wasteful number, since it uses less digits than its factorization.

189037107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 189037107840 in words is "one hundred eighty-nine billion, thirty-seven million, one hundred seven thousand, eight hundred forty".