Search a number
-
+
83540163475392 = 26313331101116667
BaseRepresentation
bin10010111111101010110101…
…110001001011011111000000
3101221210100202121222221220020
4102333222311301023133000
541422210223322203032
6453401453222013440
723411402062140411
oct2277526561133700
9357710677887806
1083540163475392
1124689203437888
129452787877280
13377ca5a6cba30
14168b518c73808
1599d110cd9b2c
hex4bfab5c4b7c0

83540163475392 has 112 divisors (see below), whose sum is σ = 238755058614912. Its totient is φ = 25627007831040.

The previous prime is 83540163475283. The next prime is 83540163475411. The reversal of 83540163475392 is 29357436104538.

It is a super-3 number, since 3×835401634753923 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49732158 + ... + 51384509.

It is an arithmetic number, because the mean of its divisors is an integer number (2131741594776).

It is a 2-persistent number, because it is pandigital, and so is 2⋅83540163475392 = 167080326950784, but 3⋅83540163475392 = 250620490426176 is not.

Almost surely, 283540163475392 is an apocalyptic number.

It is an amenable number.

83540163475392 is an abundant number, since it is smaller than the sum of its proper divisors (155214895139520).

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

83540163475392 is a wasteful number, since it uses less digits than its factorization.

83540163475392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101117026 (or 101117016 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 83540163475392 in words is "eighty-three trillion, five hundred forty billion, one hundred sixty-three million, four hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 331 416 624 662 832 993 1248 1324 1986 2496 2648 3972 4303 5296 7944 8606 10592 12909 15888 17212 21184 25818 31776 34424 51636 63552 68848 103272 137696 206544 275392 413088 826176 101116667 202233334 303350001 404466668 606700002 808933336 1213400004 1314516671 1617866672 2426800008 2629033342 3235733344 3943550013 4853600016 5258066684 6471466688 7887100026 9707200032 10516133368 15774200052 19414400064 21032266736 31548400104 33469616777 42064533472 63096800208 66939233554 84129066944 100408850331 126193600416 133878467108 200817700662 252387200832 267756934216 401635401324 435105018101 535513868432 803270802648 870210036202 1071027736864 1305315054303 1606541605296 1740420072404 2142055473728 2610630108606 3213083210592 3480840144808 5221260217212 6426166421184 6961680289616 10442520434424 13923360579232 20885040868848 27846721158464 41770081737696 83540163475392