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3698199666144 = 2532173124366169
BaseRepresentation
bin110101110100001101111…
…000001001110111100000
3111002112200220010020102100
4311310031320021313200
5441042403103304034
611510532433250400
7531120556332624
oct65641570116740
914075626106370
103698199666144
1111a6441332955
124b889b703a00
1320a97acc0b29
14cadcb079184
15662ea729099
hex35d0de09de0

3698199666144 has 144 divisors (see below), whose sum is σ = 11494594500480. Its totient is φ = 1122793021440.

The previous prime is 3698199666101. The next prime is 3698199666169. The reversal of 3698199666144 is 4416669918963.

3698199666144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 12031309 + ... + 12334860.

It is an arithmetic number, because the mean of its divisors is an integer number (79823572920).

Almost surely, 23698199666144 is an apocalyptic number.

3698199666144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3698199666144 is an abundant number, since it is smaller than the sum of its proper divisors (7796394834336).

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

3698199666144 is a wasteful number, since it uses less digits than its factorization.

3698199666144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24366233 (or 24366222 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 3698199666144 in words is "three trillion, six hundred ninety-eight billion, one hundred ninety-nine million, six hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 68 72 93 96 102 124 136 144 153 186 204 248 272 279 288 306 372 408 496 527 544 558 612 744 816 992 1054 1116 1224 1488 1581 1632 2108 2232 2448 2976 3162 4216 4464 4743 4896 6324 8432 8928 9486 12648 16864 18972 25296 37944 50592 75888 151776 24366169 48732338 73098507 97464676 146197014 194929352 219295521 292394028 389858704 414224873 438591042 584788056 755351239 779717408 828449746 877182084 1169576112 1242674619 1510702478 1656899492 1754364168 2266053717 2339152224 2485349238 3021404956 3313798984 3508728336 3728023857 4532107434 4970698476 6042809912 6627597968 6798161151 7017456672 7456047714 9064214868 9941396952 12085619824 12840971063 13255195936 13596322302 14912095428 18128429736 19882793904 24171239648 25681942126 27192644604 29824190856 36256859472 38522913189 39765587808 51363884252 54385289208 59648381712 72513718944 77045826378 102727768504 108770578416 115568739567 119296763424 154091652756 205455537008 217541156832 231137479134 308183305512 410911074016 462274958268 616366611024 924549916536 1232733222048 1849099833072 3698199666144