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152828704380 = 2235111953229949
BaseRepresentation
bin1000111001010101001…
…1001111011001111100
3112121110220011120210110
42032111103033121330
510000443122020010
6154113013310020
714020144360542
oct2162523173174
9477426146713
10152828704380
11598a5901670
1225752035310
1311547619a31
14757b327d92
153e970d9120
hex23954cf67c

152828704380 has 192 divisors, whose sum is σ = 500665536000. Its totient is φ = 34437012480.

The previous prime is 152828704337. The next prime is 152828704397. The reversal of 152828704380 is 83407828251.

It is a super-2 number, since 2×1528287043802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549646 + ... + 779594.

It is an arithmetic number, because the mean of its divisors is an integer number (2607633000).

Almost surely, 2152828704380 is an apocalyptic number.

152828704380 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 152828704380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250332768000).

152828704380 is an abundant number, since it is smaller than the sum of its proper divisors (347836831620).

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

152828704380 is a wasteful number, since it uses less digits than its factorization.

152828704380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230044 (or 230042 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 152828704380 in words is "one hundred fifty-two billion, eight hundred twenty-eight million, seven hundred four thousand, three hundred eighty".