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6416049696 = 253717233037
BaseRepresentation
bin1011111100110110…
…10010011000100000
3121120010221002120020
411332123102120200
5101120002042241
62540354113440
7314665344150
oct57633223040
917503832506
106416049696
1127a2769111
1212b087b880
137b3339714
1444c190760
1527841bb66
hex17e6d2620

6416049696 has 144 divisors (see below), whose sum is σ = 20447614656. Its totient is φ = 1725272064.

The previous prime is 6416049671. The next prime is 6416049719. The reversal of 6416049696 is 6969406146.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177690 + ... + 210726.

It is an arithmetic number, because the mean of its divisors is an integer number (141997324).

Almost surely, 26416049696 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 6416049696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223807328).

6416049696 is an abundant number, since it is smaller than the sum of its proper divisors (14031564960).

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

6416049696 is a wasteful number, since it uses less digits than its factorization.

6416049696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33091 (or 33066 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The square root of 6416049696 is about 80100.2477898789. The cubic root of 6416049696 is about 1858.1862397671.

The spelling of 6416049696 in words is "six billion, four hundred sixteen million, forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 289 336 357 408 476 544 578 672 714 816 867 952 1156 1428 1632 1734 1904 2023 2312 2856 3468 3808 4046 4624 5712 6069 6936 8092 9248 11424 12138 13872 16184 24276 27744 32368 33037 48552 64736 66074 97104 99111 132148 194208 198222 231259 264296 396444 462518 528592 561629 693777 792888 925036 1057184 1123258 1387554 1585776 1684887 1850072 2246516 2775108 3171552 3369774 3700144 3931403 4493032 5550216 6739548 7400288 7862806 8986064 9547693 11100432 11794209 13479096 15725612 17972128 19095386 22200864 23588418 26958192 28643079 31451224 38190772 47176836 53916384 57286158 62902448 66833851 76381544 94353672 114572316 125804896 133667702 152763088 188707344 200501553 229144632 267335404 305526176 377414688 401003106 458289264 534670808 802006212 916578528 1069341616 1604012424 2138683232 3208024848 6416049696