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52672770624 = 2631721176481
BaseRepresentation
bin110001000011100010…
…101011001001000000
312000221212002222122110
4301003202223021000
51330333212124444
640110400135320
73543165106635
oct610342531100
9160855088573
1052672770624
112037a4511a1
12a260007540
134c757115c6
1427996b618c
15158434bcb9
hexc438ab240

52672770624 has 112 divisors (see below), whose sum is σ = 148262498496. Its totient is φ = 16446259200.

The previous prime is 52672770613. The next prime is 52672770659. The reversal of 52672770624 is 42607727625.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650464 + ... + 726944.

It is an arithmetic number, because the mean of its divisors is an integer number (1323772308).

Almost surely, 252672770624 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 52672770624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131249248).

52672770624 is an abundant number, since it is smaller than the sum of its proper divisors (95589727872).

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

52672770624 is a wasteful number, since it uses less digits than its factorization.

52672770624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76724 (or 76714 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 52672770624 in words is "fifty-two billion, six hundred seventy-two million, seven hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 211 272 408 422 544 633 816 844 1088 1266 1632 1688 2532 3264 3376 3587 5064 6752 7174 10128 10761 13504 14348 20256 21522 28696 40512 43044 57392 76481 86088 114784 152962 172176 229443 229568 305924 344352 458886 611848 688704 917772 1223696 1300177 1835544 2447392 2600354 3671088 3900531 4894784 5200708 7342176 7801062 10401416 14684352 15602124 16137491 20802832 31204248 32274982 41605664 48412473 62408496 64549964 83211328 96824946 124816992 129099928 193649892 249633984 258199856 274337347 387299784 516399712 548674694 774599568 823012041 1032799424 1097349388 1549199136 1646024082 2194698776 3098398272 3292048164 4389397552 6584096328 8778795104 13168192656 17557590208 26336385312 52672770624