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4011871104 = 27324380989
BaseRepresentation
bin1110111100100000…
…0100101110000000
3101100121001011112200
43233020010232000
531204014333404
61502032153200
7201263225133
oct35710045600
911317034480
104011871104
11177966215a
1293b698800
134bc219b37
142a0b6421a
1518731c839
hexef204b80

4011871104 has 96 divisors (see below), whose sum is σ = 11813201400. Its totient is φ = 1306174464.

The previous prime is 4011871103. The next prime is 4011871177. The reversal of 4011871104 is 4011781104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40118711042 = 32190219510220357632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011871103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9042 + ... + 90030.

Almost surely, 24011871104 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 4011871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906600700).

4011871104 is an abundant number, since it is smaller than the sum of its proper divisors (7801330296).

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

4011871104 is a wasteful number, since it uses less digits than its factorization.

4011871104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81052 (or 81037 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 4011871104 is about 63339.3329930147. The cubic root of 4011871104 is about 1588.9698512900.

Subtracting from 4011871104 its reverse (4011781104), we obtain a square (90000 = 3002).

The spelling of 4011871104 in words is "four billion, eleven million, eight hundred seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 8256 12384 16512 24768 49536 80989 161978 242967 323956 485934 647912 728901 971868 1295824 1457802 1943736 2591648 2915604 3482527 3887472 5183296 5831208 6965054 7774944 10366592 10447581 11662416 13930108 15549888 20895162 23324832 27860216 31099776 31342743 41790324 46649664 55720432 62685486 83580648 93299328 111440864 125370972 167161296 222881728 250741944 334322592 445763456 501483888 668645184 1002967776 1337290368 2005935552 4011871104