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4106233776 = 2431131315779
BaseRepresentation
bin1111010011000000…
…0010011110110000
3101121011121021210110
43310300002132300
531402143440101
61515242501320
7203520261021
oct36460023660
911534537713
104106233776
111817953237
12967204840
13505938738
142ad4c8c48
1519075bcd6
hexf4c027b0

4106233776 has 80 divisors (see below), whose sum is σ = 10785202560. Its totient is φ = 1346042880.

The previous prime is 4106233759. The next prime is 4106233783. The reversal of 4106233776 is 6773326014.

It is a super-2 number, since 2×41062337762 = 33722311646326436352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707655 + ... + 713433.

It is an arithmetic number, because the mean of its divisors is an integer number (134815032).

Almost surely, 24106233776 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 4106233776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392601280).

4106233776 is an abundant number, since it is smaller than the sum of its proper divisors (6678968784).

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

4106233776 is a wasteful number, since it uses less digits than its factorization.

4106233776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 4106233776 is about 64079.9014980516. The cubic root of 4106233776 is about 1601.3314146937.

The spelling of 4106233776 in words is "four billion, one hundred six million, two hundred thirty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 131 226 262 339 393 452 524 678 786 904 1048 1356 1572 1808 2096 2712 3144 5424 5779 6288 11558 14803 17337 23116 29606 34674 44409 46232 59212 69348 88818 92464 118424 138696 177636 236848 277392 355272 653027 710544 757049 1306054 1514098 1959081 2271147 2612108 3028196 3918162 4542294 5224216 6056392 7836324 9084588 10448432 12112784 15672648 18169176 31345296 36338352 85546537 171093074 256639611 342186148 513279222 684372296 1026558444 1368744592 2053116888 4106233776