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53638800406952 = 232337101311250829
BaseRepresentation
bin11000011001000110000011…
…01001001111100110101000
321000220211010020002111021112
430030203001221033212220
524012304230401010302
6310025154050325452
714204163322512215
oct1414430151174650
9230824106074245
1053638800406952
11161000a6518392
126023685889888
1323c116a581757
14d361bb8cab0c
1563040574d552
hex30c8c1a4f9a8

53638800406952 has 128 divisors (see below), whose sum is σ = 109199422425600. Its totient is φ = 24633316224000.

The previous prime is 53638800406943. The next prime is 53638800406969. The reversal of 53638800406952 is 25960400883635.

It is a junction number, because it is equal to n+sod(n) for n = 53638800406891 and 53638800406900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213720674 + ... + 213971502.

It is an arithmetic number, because the mean of its divisors is an integer number (853120487700).

Almost surely, 253638800406952 is an apocalyptic number.

It is an amenable number.

53638800406952 is an abundant number, since it is smaller than the sum of its proper divisors (55560622018648).

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

53638800406952 is a wasteful number, since it uses less digits than its factorization.

53638800406952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251307 (or 251303 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 59.

The spelling of 53638800406952 in words is "fifty-three trillion, six hundred thirty-eight billion, eight hundred million, four hundred six thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 23 37 46 74 92 101 148 184 202 296 311 404 622 808 851 1244 1702 2323 2488 3404 3737 4646 6808 7153 7474 9292 11507 14306 14948 18584 23014 28612 29896 31411 46028 57224 62822 85951 92056 125644 171902 250829 251288 264661 343804 501658 529322 687608 722453 1003316 1058644 1162207 1444906 2006632 2117288 2324414 2889812 4648828 5769067 5779624 9280673 9297656 11538134 18561346 23076268 25333729 26730761 37122692 46152536 50667458 53461522 74245384 78007819 101334916 106923044 156015638 202669832 213455479 213846088 312031276 426910958 582675767 624062552 853821916 937347973 1165351534 1707643832 1794179837 1874695946 2330703068 2886289303 3588359674 3749391892 4661406136 5772578606 7176719348 7498783784 7878789719 11545157212 14353438696 15757579438 21559003379 23090314424 31515158876 43118006758 63030317752 66384653969 86236013516 132769307938 172472027032 181212163537 265538615876 291515219603 362424327074 531077231752 583030439206 724848654148 1166060878412 1449697308296 2332121756824 6704850050869 13409700101738 26819400203476 53638800406952