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38934376448 = 212112337571
BaseRepresentation
bin100100010000101010…
…110111000000000000
310201111101220020210112
4210100222313000000
51114214200021243
625515230450452
72545554511412
oct442052670000
9121441806715
1038934376448
111556a493320
127667063a28
133896379896
141c54c5a9b2
15102d191818
hex910ab7000

38934376448 has 104 divisors (see below), whose sum is σ = 88632648576. Its totient is φ = 16927539200.

The previous prime is 38934376409. The next prime is 38934376451. The reversal of 38934376448 is 84467343983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017503 + ... + 1055073.

Almost surely, 238934376448 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 38934376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44316324288).

38934376448 is an abundant number, since it is smaller than the sum of its proper divisors (49698272128).

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

38934376448 is a wasteful number, since it uses less digits than its factorization.

38934376448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37629 (or 37607 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 59.

The spelling of 38934376448 in words is "thirty-eight billion, nine hundred thirty-four million, three hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 704 736 1012 1024 1408 1472 2024 2048 2816 2944 4048 4096 5632 5888 8096 11264 11776 16192 22528 23552 32384 37571 45056 47104 64768 75142 94208 129536 150284 259072 300568 413281 518144 601136 826562 864133 1036288 1202272 1653124 1728266 2404544 3306248 3456532 4809088 6612496 6913064 9505463 9618176 13224992 13826128 19010926 19236352 26449984 27652256 38021852 38472704 52899968 55304512 76043704 76945408 105799936 110609024 152087408 153890816 211599872 221218048 304174816 423199744 442436096 608349632 846399488 884872192 1216699264 1692798976 1769744384 2433398528 3539488768 4866797056 9733594112 19467188224 38934376448