Search a number
-
+
67768138142624 = 253773784063057
BaseRepresentation
bin11110110100010011111111…
…10011010001001110100000
322212221120102001210011210102
433122021333303101032200
532340303121331030444
6400044130342121532
720163041431613333
oct1732117763211640
9285846361704712
1067768138142624
111a6583402a7107
127725b044202a8
132ba767b120b2a
1412a3dd14b061a
157c7c1129384e
hex3da27fcd13a0

67768138142624 has 48 divisors (see below), whose sum is σ = 138901475103048. Its totient is φ = 32516663058432.

The previous prime is 67768138142609. The next prime is 67768138142659. The reversal of 67768138142624 is 42624183186776.

It can be written as a sum of positive squares in 4 ways, for example, as 63340396334224 + 4427741808400 = 7958668^2 + 2104220^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391945097 + ... + 392117960.

Almost surely, 267768138142624 is an apocalyptic number.

It is an amenable number.

67768138142624 is an abundant number, since it is smaller than the sum of its proper divisors (71133336960424).

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

67768138142624 is a wasteful number, since it uses less digits than its factorization.

67768138142624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784063177 (or 784063169 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 65.

The spelling of 67768138142624 in words is "sixty-seven trillion, seven hundred sixty-eight billion, one hundred thirty-eight million, one hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 73 74 146 148 292 296 584 592 1168 1184 2336 2701 5402 10804 21608 43216 86432 784063057 1568126114 3136252228 6272504456 12545008912 25090017824 29010333109 57236603161 58020666218 114473206322 116041332436 228946412644 232082664872 457892825288 464165329744 915785650576 928330659488 1831571301152 2117754316957 4235508633914 8471017267828 16942034535656 33884069071312 67768138142624