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49161829376 = 2101119229711
BaseRepresentation
bin101101110010010001…
…011111110000000000
311200220011122200200102
4231302101133300000
51301140412020001
634330140341532
73360163440422
oct556221376000
9150804580612
1049161829376
1119938631060
1296402448a8
134836213b8a
1425452aa812
15142aecce6b
hexb7245fc00

49161829376 has 88 divisors (see below), whose sum is σ = 112852911360. Its totient is φ = 21170073600.

The previous prime is 49161829373. The next prime is 49161829393. The reversal of 49161829376 is 67392816194.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-3 number, since 3×491618293763 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49161829373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99161 + ... + 328871.

Almost surely, 249161829376 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 49161829376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56426455680).

49161829376 is an abundant number, since it is smaller than the sum of its proper divisors (63691081984).

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

49161829376 is a wasteful number, since it uses less digits than its factorization.

49161829376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229761 (or 229743 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 56.

The spelling of 49161829376 in words is "forty-nine billion, one hundred sixty-one million, eight hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1024 1216 1408 1672 2432 2816 3344 4864 5632 6688 9728 11264 13376 19456 26752 53504 107008 214016 229711 459422 918844 1837688 2526821 3675376 4364509 5053642 7350752 8729018 10107284 14701504 17458036 20214568 29403008 34916072 40429136 48009599 58806016 69832144 80858272 96019198 117612032 139664288 161716544 192038396 235224064 279328576 323433088 384076792 558657152 646866176 768153584 1117314304 1293732352 1536307168 2234628608 2587464704 3072614336 4469257216 6145228672 12290457344 24580914688 49161829376