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64194854064 = 2431133132413
BaseRepresentation
bin111011110010010011…
…111011110010110000
320010200211221110201120
4323302103323302300
52022432340312224
645253554302240
74431544153635
oct736223736260
9203624843646
1064194854064
112525235a000
1210536887980
136090853863
14316da4a18c
151a0ab67779
hexef24fbcb0

64194854064 has 160 divisors (see below), whose sum is σ = 188297852928. Its totient is φ = 18824889600.

The previous prime is 64194854047. The next prime is 64194854071. The reversal of 64194854064 is 46045849146.

It is a junction number, because it is equal to n+sod(n) for n = 64194853998 and 64194854016.

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, 1964322 + ... + 1996734.

Almost surely, 264194854064 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 64194854064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94148926464).

64194854064 is an abundant number, since it is smaller than the sum of its proper divisors (124102998864).

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

64194854064 is a wasteful number, since it uses less digits than its factorization.

64194854064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32488 (or 32460 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 64194854064 in words is "sixty-four billion, one hundred ninety-four million, eight hundred fifty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 121 124 132 176 186 242 248 264 341 363 372 484 496 528 682 726 744 968 1023 1331 1364 1452 1488 1936 2046 2662 2728 2904 3751 3993 4092 5324 5456 5808 7502 7986 8184 10648 11253 15004 15972 16368 21296 22506 30008 31944 32413 41261 45012 60016 63888 64826 82522 90024 97239 123783 129652 165044 180048 194478 247566 259304 330088 356543 388956 495132 518608 660176 713086 777912 990264 1004803 1069629 1426172 1555824 1980528 2009606 2139258 2852344 3014409 3921973 4019212 4278516 5704688 6028818 7843946 8038424 8557032 11052833 11765919 12057636 15687892 16076848 17114064 22105666 23531838 24115272 31375784 33158499 43141703 44211332 47063676 48230544 62751568 66316998 86283406 88422664 94127352 121581163 129425109 132633996 172566812 176845328 188254704 243162326 258850218 265267992 345133624 364743489 486324652 517700436 530535984 690267248 729486978 972649304 1035400872 1337392793 1458973956 1945298608 2070801744 2674785586 2917947912 4012178379 5349571172 5835895824 8024356758 10699142344 16048713516 21398284688 32097427032 64194854064