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1055424100464 = 2432232027157211
BaseRepresentation
bin11110101101111000010…
…11011011100001110000
310201220020022122110010200
433112330023123201300
5114243002032203324
62124504413155200
7136152251555526
oct17267413334160
93656208573120
101055424100464
1137766a4319a8
1215066b48bb00
13786ab9c6366
14391232b4316
151c6c23d6ec9
hexf5bc2db870

1055424100464 has 120 divisors (see below), whose sum is σ = 3083684452992. Its totient is φ = 336343877760.

The previous prime is 1055424100457. The next prime is 1055424100477. The reversal of 1055424100464 is 4640014245501.

1055424100464 is a `hidden beast` number, since 1 + 0 + 5 + 542 + 4 + 100 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×10554241004642 (a number of 25 digits) contains 22 as substring.

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

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, 6634819 + ... + 6792029.

Almost surely, 21055424100464 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 1055424100464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541842226496).

1055424100464 is an abundant number, since it is smaller than the sum of its proper divisors (2028260352528).

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

1055424100464 is a wasteful number, since it uses less digits than its factorization.

1055424100464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159275 (or 159266 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 1055424100464 its reverse (4640014245501), we get a palindrome (5695438345965).

The spelling of 1055424100464 in words is "one trillion, fifty-five billion, four hundred twenty-four million, one hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 2027 3312 4054 6081 8108 12162 16216 18243 24324 32432 36486 46621 48648 72972 93242 97296 139863 145944 157211 186484 279726 291888 314422 372968 419589 471633 559452 628844 745936 839178 943266 1118904 1257688 1414899 1678356 1886532 2237808 2515376 2829798 3356712 3615853 3773064 5659596 6713424 7231706 7546128 10847559 11319192 14463412 21695118 22638384 28926824 32542677 43390236 57853648 65085354 86780472 130170708 173560944 260341416 318666697 520682832 637333394 956000091 1274666788 1912000182 2549333576 2868000273 3824000364 5098667152 5736000546 7329334031 7648000728 11472001092 14658668062 15296001456 21988002093 22944002184 29317336124 43976004186 45888004368 58634672248 65964006279 87952008372 117269344496 131928012558 175904016744 263856025116 351808033488 527712050232 1055424100464