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4091946768 = 2433713104089
BaseRepresentation
bin1111001111100110…
…0010011100010000
3101120011201102201000
43303321202130100
531340014244033
61514012342000
7203254654650
oct36371423420
911504642630
104091946768
11180a885198
12962474900
135029a57a0
142ab64a360
1518e388a13
hexf3e62710

4091946768 has 160 divisors (see below), whose sum is σ = 14456019200. Its totient is φ = 1079184384.

The previous prime is 4091946757. The next prime is 4091946797. The reversal of 4091946768 is 8676491904.

4091946768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12733 + ... + 91356.

It is an arithmetic number, because the mean of its divisors is an integer number (90350120).

Almost surely, 24091946768 is an apocalyptic number.

4091946768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4091946768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228009600).

4091946768 is an abundant number, since it is smaller than the sum of its proper divisors (10364072432).

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

4091946768 is a wasteful number, since it uses less digits than its factorization.

4091946768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104126 (or 104114 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 4091946768 is about 63968.3262873119. The cubic root of 4091946768 is about 1599.4720612362.

The spelling of 4091946768 in words is "four billion, ninety-one million, nine hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 39312 104089 208178 312267 416356 624534 728623 832712 936801 1249068 1353157 1457246 1665424 1873602 2185869 2498136 2706314 2810403 2914492 3747204 4059471 4371738 4996272 5412628 5620806 5828984 6557607 7494408 8118942 8743476 9472099 10825256 11241612 11657968 12178413 13115214 14988816 16237884 17486952 18944198 19672821 21650512 22483224 24356826 26230428 28416297 32475768 34973904 36535239 37888396 39345642 44966448 48713652 52460856 56832594 64951536 73070478 75776792 78691284 85248891 97427304 104921712 113665188 146140956 151553584 157382568 170497782 194854608 227330376 255746673 292281912 314765136 340995564 454660752 511493346 584563824 681991128 1022986692 1363982256 2045973384 4091946768