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149629601352 = 2337111741116167
BaseRepresentation
bin1000101101011010011…
…1101000011001001000
3112022012221111022110010
42023112213220121020
54422420134220402
6152423333351520
713544650424550
oct2132647503110
9468187438403
10149629601352
1158504011170
1224bba7985a0
131115790356a
1473564d4160
153d5b316a6c
hex22d69e8648

149629601352 has 256 divisors, whose sum is σ = 505860526080. Its totient is φ = 35686195200.

The previous prime is 149629601321. The next prime is 149629601413. The reversal of 149629601352 is 253106926941.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1229973 + ... + 1346139.

It is an arithmetic number, because the mean of its divisors is an integer number (1976017680).

Almost surely, 2149629601352 is an apocalyptic number.

149629601352 is a gapful number since it is divisible by the number (12) 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 149629601352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252930263040).

149629601352 is an abundant number, since it is smaller than the sum of its proper divisors (356230924728).

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

149629601352 is a wasteful number, since it uses less digits than its factorization.

149629601352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116252 (or 116248 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 149629601352 in words is "one hundred forty-nine billion, six hundred twenty-nine million, six hundred one thousand, three hundred fifty-two".