Search a number
-
+
66750752552064 = 273724832869253
BaseRepresentation
bin11110010110101100111101…
…11001001111010010000000
322202100022100201022020120220
433023112132321033102000
532222121020123131224
6353544512234103040
720026403606024340
oct1713263671172200
9282308321266526
1066750752552064
111a2a5920699759
1275a08abb7aa80
132b32751cc71c9
14126aa7a094d20
157ab51858b279
hex3cb59ee4f480

66750752552064 has 64 divisors (see below), whose sum is σ = 202636213112640. Its totient is φ = 19071643585536.

The previous prime is 66750752552039. The next prime is 66750752552069. The reversal of 66750752552064 is 46025525705766.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 66750752551989 and 66750752552007.

It is not an unprimeable number, because it can be changed into a prime (66750752552069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12416431939 + ... + 12416437314.

It is an arithmetic number, because the mean of its divisors is an integer number (3166190829885).

Almost surely, 266750752552064 is an apocalyptic number.

66750752552064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66750752552064 is an abundant number, since it is smaller than the sum of its proper divisors (135885460560576).

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

66750752552064 is a wasteful number, since it uses less digits than its factorization.

66750752552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24832869277 (or 24832869265 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 60.

The spelling of 66750752552064 in words is "sixty-six trillion, seven hundred fifty billion, seven hundred fifty-two million, five hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 24832869253 49665738506 74498607759 99331477012 148997215518 173830084771 198662954024 297994431036 347660169542 397325908048 521490254313 595988862072 695320339084 794651816096 1042980508626 1191977724144 1390640678168 1589303632192 2085961017252 2383955448288 2781281356336 3178607264384 4171922034504 4767910896576 5562562712672 8343844069008 9535821793152 11125125425344 16687688138016 22250250850688 33375376276032 66750752552064