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10657228495264 = 2513401463137983
BaseRepresentation
bin1001101100010101010001…
…0100011001100110100000
31101201211011120121002022021
42123011110110121212200
52344102000443322024
634355510240351224
72146650025362301
oct233052424314640
941654146532267
1010657228495264
11343978371a09a
121241538315514
135c3c842b1a80
1428bb53b3c7a8
15137344056de4
hex9b1545199a0

10657228495264 has 96 divisors (see below), whose sum is σ = 22700809764864. Its totient is φ = 4895822131200.

The previous prime is 10657228495259. The next prime is 10657228495307. The reversal of 10657228495264 is 46259482275601.

It is a super-2 number, since 2×106572284952642 (a number of 27 digits) 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, 77166817 + ... + 77304799.

It is an arithmetic number, because the mean of its divisors is an integer number (236466768384).

Almost surely, 210657228495264 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 10657228495264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350404882432).

10657228495264 is an abundant number, since it is smaller than the sum of its proper divisors (12043581269600).

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

10657228495264 is a wasteful number, since it uses less digits than its factorization.

10657228495264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138870 (or 138862 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 61.

The spelling of 10657228495264 in words is "ten trillion, six hundred fifty-seven billion, two hundred twenty-eight million, four hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 401 416 463 802 926 1604 1852 3208 3704 5213 6019 6416 7408 10426 12038 12832 14816 20852 24076 41704 48152 83408 96304 137983 166816 185663 192608 275966 371326 551932 742652 1103864 1485304 1793779 2207728 2413619 2970608 3587558 4415456 4827238 5941216 7175116 9654476 14350232 19308952 28700464 38617904 55331183 57400928 63886129 77235808 110662366 127772258 221324732 255544516 442649464 511089032 719305379 830519677 885298928 1022178064 1438610758 1661039354 1770597856 2044356128 2877221516 3322078708 5754443032 6644157416 11508886064 13288314832 23017772128 25618337729 26576629664 51236675458 102473350916 204946701832 333038390477 409893403664 666076780954 819786807328 1332153561908 2664307123816 5328614247632 10657228495264