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3876899104 = 251329973313
BaseRepresentation
bin1110011100010100…
…1100100100100000
3101000012001212202201
43213011030210200
530414441232404
61440411222544
7165034045561
oct34705144440
911005055681
103876899104
11170a454751
12902447a54
1349a280250
1428ac6c168
1517a55aca4
hexe714c920

3876899104 has 96 divisors (see below), whose sum is σ = 8593467120. Its totient is φ = 1709309952.

The previous prime is 3876899087. The next prime is 3876899119. The reversal of 3876899104 is 4019986783.

It can be written as a sum of positive squares in 8 ways, for example, as 2111218704 + 1765680400 = 45948^2 + 42020^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1168552 + ... + 1171864.

Almost surely, 23876899104 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 3876899104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296733560).

3876899104 is an abundant number, since it is smaller than the sum of its proper divisors (4716568016).

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

3876899104 is a wasteful number, since it uses less digits than its factorization.

3876899104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The square root of 3876899104 is about 62264.7500918457. The cubic root of 3876899104 is about 1570.9468782056.

The spelling of 3876899104 in words is "three billion, eight hundred seventy-six million, eight hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 97 104 116 194 208 232 377 388 416 464 754 776 928 1261 1508 1552 2522 2813 3016 3104 3313 5044 5626 6032 6626 10088 11252 12064 13252 20176 22504 26504 36569 40352 43069 45008 53008 73138 86138 90016 96077 106016 146276 172276 192154 292552 321361 344552 384308 585104 642722 689104 768616 1170208 1249001 1285444 1378208 1537232 2498002 2570888 3074464 4177693 4996004 5141776 8355386 9319469 9992008 10283552 16710772 18638938 19984016 33421544 37277876 39968032 66843088 74555752 121153097 133686176 149111504 242306194 298223008 484612388 969224776 1938449552 3876899104