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664127353140 = 2235103389276257
BaseRepresentation
bin10011010101000010001…
…00110011000100110100
32100111020011210010100120
421222201010303010310
541340113100300030
61225032414011540
765660460234156
oct11524104630464
92314204703316
10664127353140
11236722639109
12a8866aa6bb0
134a81c508b94
1424202d5cad6
151241eb00010
hex9aa1133134

664127353140 has 96 divisors (see below), whose sum is σ = 1882444112640. Its totient is φ = 174929719296.

The previous prime is 664127353117. The next prime is 664127353157. The reversal of 664127353140 is 41353721466.

It is a junction number, because it is equal to n+sod(n) for n = 664127353092 and 664127353101.

It is a congruent number.

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, 2265892 + ... + 2542148.

It is an arithmetic number, because the mean of its divisors is an integer number (19608792840).

Almost surely, 2664127353140 is an apocalyptic number.

664127353140 is a gapful number since it is divisible by the number (60) 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 664127353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941222056320).

664127353140 is an abundant number, since it is smaller than the sum of its proper divisors (1218316759500).

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

664127353140 is a wasteful number, since it uses less digits than its factorization.

664127353140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276761 (or 276759 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 664127353140 in words is "six hundred sixty-four billion, one hundred twenty-seven million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 389 412 515 618 778 1030 1167 1236 1545 1556 1945 2060 2334 3090 3890 4668 5835 6180 7780 11670 23340 40067 80134 120201 160268 200335 240402 276257 400670 480804 552514 601005 801340 828771 1105028 1202010 1381285 1657542 2404020 2762570 3315084 4143855 5525140 8287710 16575420 28454471 56908942 85363413 107463973 113817884 142272355 170726826 214927946 284544710 322391919 341453652 426817065 429855892 537319865 569089420 644783838 853634130 1074639730 1289567676 1611959595 1707268260 2149279460 3223919190 6447838380 11068789219 22137578438 33206367657 44275156876 55343946095 66412735314 110687892190 132825470628 166031838285 221375784380 332063676570 664127353140