Search a number
-
+
645643808064 = 26331919665077
BaseRepresentation
bin10010110010100110101…
…11101010110101000000
32021201112000201202012000
421121103113222311000
541034234303324224
61212334335304000
764434440550513
oct11312327526500
92251460652160
10645643808064
112298a8109122
12a516897b000
1348b65065168
142336c220d7a
1511bdc07e0c9
hex96535ead40

645643808064 has 112 divisors (see below), whose sum is σ = 1997971924800. Its totient is φ = 203887507968.

The previous prime is 645643808057. The next prime is 645643808093. The reversal of 645643808064 is 460808346546.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 645643808064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9799707 + ... + 9865370.

Almost surely, 2645643808064 is an apocalyptic number.

645643808064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

645643808064 is an abundant number, since it is smaller than the sum of its proper divisors (1352328116736).

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

645643808064 is a wasteful number, since it uses less digits than its factorization.

645643808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19665117 (or 19665101 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 645643808064 in words is "six hundred forty-five billion, six hundred forty-three million, eight hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 32832 19665077 39330154 58995231 78660308 117990462 157320616 176985693 235980924 314641232 353971386 373636463 471961848 530957079 629282464 707942772 747272926 943923696 1061914158 1120909389 1258564928 1415885544 1494545852 1887847392 2123828316 2241818778 2831771088 2989091704 3362728167 3775694784 4247656632 4483637556 5663542176 5978183408 6725456334 8495313264 8967275112 10088184501 11327084352 11956366816 13450912668 16990626528 17934550224 20176369002 23912733632 26901825336 33981253056 35869100448 40352738004 53803650672 71738200896 80705476008 107607301344 161410952016 215214602688 322821904032 645643808064