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38103386368 = 281096732029
BaseRepresentation
bin100011011111001000…
…111000100100000000
310122100111020120201011
4203133020320210000
51111013431330433
625300543450304
72516144303665
oct433710704400
9118314216634
1038103386368
1115183406163
1274748b6994
133793166188
141bb6745a6c
15ed02473cd
hex8df238900

38103386368 has 72 divisors (see below), whose sum is σ = 76907646200. Its totient is φ = 18839568384.

The previous prime is 38103386359. The next prime is 38103386417. The reversal of 38103386368 is 86368330183.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17857511424 + 20245874944 = 133632^2 + 142288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18778378 + ... + 18780406.

Almost surely, 238103386368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38103386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38453823100).

38103386368 is an abundant number, since it is smaller than the sum of its proper divisors (38804259832).

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

38103386368 is a wasteful number, since it uses less digits than its factorization.

38103386368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 38103386368 in words is "thirty-eight billion, one hundred three million, three hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 673 872 1346 1744 2029 2692 3488 4058 5384 6976 8116 10768 13952 16232 21536 27904 32464 43072 64928 73357 86144 129856 146714 172288 221161 259712 293428 442322 519424 586856 884644 1173712 1365517 1769288 2347424 2731034 3538576 4694848 5462068 7077152 9389696 10924136 14154304 18779392 21848272 28308608 43696544 56617216 87393088 148841353 174786176 297682706 349572352 595365412 1190730824 2381461648 4762923296 9525846592 19051693184 38103386368