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4255601030064 = 24321011697172423
BaseRepresentation
bin111101111011010101100…
…101100111001110110000
3120001211110011010100212100
4331323111211213032300
51024210432330430224
613014555055100400
7616312521626436
oct75732545471660
916054404110770
104255601030064
1113a087692468a
12588920211700
1324b3bc3b28a7
14109d87986d56
1575a7089dac9
hex3ded59673b0

4255601030064 has 120 divisors (see below), whose sum is σ = 12034848282912. Its totient is φ = 1403653017600.

The previous prime is 4255601029943. The next prime is 4255601030099. The reversal of 4255601030064 is 4600301065524.

4255601030064 is a `hidden beast` number, since 4 + 2 + 5 + 560 + 1 + 0 + 30 + 0 + 64 = 666.

It is a super-2 number, since 2×42556010300642 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24594957 + ... + 24767379.

Almost surely, 24255601030064 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 4255601030064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017424141456).

4255601030064 is an abundant number, since it is smaller than the sum of its proper divisors (7779247252848).

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

4255601030064 is a wasteful number, since it uses less digits than its factorization.

4255601030064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174235 (or 174226 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 4255601030064 its reverse (4600301065524), we get a palindrome (8855902095588).

The spelling of 4255601030064 in words is "four trillion, two hundred fifty-five billion, six hundred one million, thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1697 1818 2424 3394 3636 4848 5091 6788 7272 10182 13576 14544 15273 20364 27152 30546 40728 61092 81456 122184 171397 172423 244368 342794 344846 514191 517269 685588 689692 1028382 1034538 1371176 1379384 1542573 1551807 2056764 2069076 2742352 2758768 3085146 3103614 4113528 4138152 6170292 6207228 8227056 8276304 12340584 12414456 17414723 24681168 24828912 34829446 52244169 69658892 104488338 139317784 156732507 208976676 278635568 292601831 313465014 417953352 585203662 626930028 835906704 877805493 1170407324 1253860056 1755610986 2340814648 2507720112 2633416479 3511221972 4681629296 5266832958 7022443944 10533665916 14044887888 21067331832 29552784931 42134663664 59105569862 88658354793 118211139724 177316709586 236422279448 265975064379 354633419172 472844558896 531950128758 709266838344 1063900257516 1418533676688 2127800515032 4255601030064