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634079343216 = 243115393222679
BaseRepresentation
bin10010011101000100001…
…00101111001001110000
32020121200002011001202010
421032202010233021300
540342043302440331
61203143024522520
763545035326534
oct11164204571160
92217602131663
10634079343216
11224a03293560
12a2a7ba80440
1347a41204457
14229923b7bc4
1511761b90e46
hex93a212f270

634079343216 has 80 divisors (see below), whose sum is σ = 1787290248960. Its totient is φ = 192108764160.

The previous prime is 634079343203. The next prime is 634079343217. The reversal of 634079343216 is 612343970436.

It is a super-2 number, since 2×6340793432162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634079343217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2736165 + ... + 2958843.

It is an arithmetic number, because the mean of its divisors is an integer number (22341128112).

Almost surely, 2634079343216 is an apocalyptic number.

634079343216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

634079343216 is an abundant number, since it is smaller than the sum of its proper divisors (1153210905744).

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

634079343216 is a wasteful number, since it uses less digits than its factorization.

634079343216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228094 (or 228088 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 48.

The spelling of 634079343216 in words is "six hundred thirty-four billion, seventy-nine million, three hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 5393 10786 16179 21572 32358 43144 59323 64716 86288 118646 129432 177969 222679 237292 258864 355938 445358 474584 668037 711876 890716 949168 1336074 1423752 1781432 2449469 2672148 2847504 3562864 4898938 5344296 7348407 9797876 10688592 14696814 19595752 29393628 39191504 58787256 117574512 1200907847 2401815694 3602723541 4803631388 7205447082 9607262776 13209986317 14410894164 19214525552 26419972634 28821788328 39629958951 52839945268 57643576656 79259917902 105679890536 158519835804 211359781072 317039671608 634079343216