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73863822708 = 2232131097143873
BaseRepresentation
bin100010011001010100…
…0000111110101110100
321001122200210222012100
41010302220013311310
52202233114311313
653533234022100
75223262063614
oct1046250076564
9231580728170
1073863822708
1129364225285
1212394a17930
136c71a99990
143809c3ca44
151dc4937173
hex1132a07d74

73863822708 has 72 divisors (see below), whose sum is σ = 201258432648. Its totient is φ = 22706454528.

The previous prime is 73863822649. The next prime is 73863822743. The reversal of 73863822708 is 80722836837.

73863822708 is a `hidden beast` number, since 7 + 386 + 38 + 227 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3971268324 + 69892554384 = 63018^2 + 264372^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 441460 + ... + 585332.

It is an arithmetic number, because the mean of its divisors is an integer number (2795256009).

Almost surely, 273863822708 is an apocalyptic number.

73863822708 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73863822708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100629216324).

73863822708 is an abundant number, since it is smaller than the sum of its proper divisors (127394609940).

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

73863822708 is a wasteful number, since it uses less digits than its factorization.

73863822708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144993 (or 144988 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 73863822708 in words is "seventy-three billion, eight hundred sixty-three million, eight hundred twenty-two thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1097 2194 3291 4388 6582 9873 13164 14261 19746 28522 39492 42783 57044 85566 128349 143873 171132 256698 287746 431619 513396 575492 863238 1294857 1726476 1870349 2589714 3740698 5179428 5611047 7481396 11222094 16833141 22444188 33666282 67332564 157828681 315657362 473486043 631314724 946972086 1420458129 1893944172 2051772853 2840916258 4103545706 5681832516 6155318559 8207091412 12310637118 18465955677 24621274236 36931911354 73863822708