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146938433250 = 235371719731187
BaseRepresentation
bin1000100011011000110…
…1101000111011100010
3112001021101120210211110
42020312031220323202
54401412214331000
6151300320324150
713421162034450
oct2106615507342
9461241523743
10146938433250
1157352a077a4
1224589473656
1310b191bcabb
14717cd1d9d0
153c4ee28850
hex2236368ee2

146938433250 has 512 divisors, whose sum is σ = 473965240320. Its totient is φ = 29511475200.

The previous prime is 146938433249. The next prime is 146938433359. The reversal of 146938433250 is 52334839641.

It is a self number, because there is not a number n which added to its sum of digits gives 146938433250.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 123789157 + ... + 123790343.

It is an arithmetic number, because the mean of its divisors is an integer number (925713360).

Almost surely, 2146938433250 is an apocalyptic number.

146938433250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146938433250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236982620160).

146938433250 is an abundant number, since it is smaller than the sum of its proper divisors (327026807070).

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

146938433250 is a wasteful number, since it uses less digits than its factorization.

146938433250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 146938433250 in words is "one hundred forty-six billion, nine hundred thirty-eight million, four hundred thirty-three thousand, two hundred fifty".