Search a number
-
+
68834002176 = 28343319541
BaseRepresentation
bin100000000011011010…
…0111000010100000000
320120200011022121120000
41000012310320110000
52111433001032201
651342155320000
74654525236042
oct1000664702400
9216604277500
1068834002176
1127212aaa705
1211410450000
13664c9c9a04
14348dc17a92
151bcd08ed86
hex1006d38500

68834002176 has 90 divisors (see below), whose sum is σ = 205250601402. Its totient is φ = 22944660480.

The previous prime is 68834002147. The next prime is 68834002183. The reversal of 68834002176 is 67120043886.

It can be written as a sum of positive squares in only one way, i.e., 42403046400 + 26430955776 = 205920^2 + 162576^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1639035 + ... + 1680506.

Almost surely, 268834002176 is an apocalyptic number.

It is an amenable number.

68834002176 is an abundant number, since it is smaller than the sum of its proper divisors (136416599226).

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

68834002176 is an equidigital number, since it uses as much as digits as its factorization.

68834002176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319569 (or 3319546 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 68834002176 in words is "sixty-eight billion, eight hundred thirty-four million, two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 3319541 6639082 9958623 13278164 19917246 26556328 29875869 39834492 53112656 59751738 79668984 89627607 106225312 119503476 159337968 179255214 212450624 239006952 268882821 318675936 358510428 424901248 478013904 537765642 637351872 717020856 849802496 956027808 1075531284 1274703744 1434041712 1912055616 2151062568 2549407488 2868083424 3824111232 4302125136 5736166848 7648222464 8604250272 11472333696 17208500544 22944667392 34417001088 68834002176