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16452772112064 = 263397235191811
BaseRepresentation
bin1110111101101011010110…
…1000110010011011000000
32011020212110222101020012110
43233122311220302123000
54124030234130041224
654554144341455320
73315450013326561
oct357326550623300
964225428336173
1016452772112064
115273643a30722
121a187a8111540
13924649caaa62
1440c465a56168
151d7e936e5929
hexef6b5a326c0

16452772112064 has 112 divisors (see below), whose sum is σ = 43659981743616. Its totient is φ = 5468056704000.

The previous prime is 16452772112057. The next prime is 16452772112069. The reversal of 16452772112064 is 46021127725461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (16452772112069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179156719 + ... + 179248529.

It is an arithmetic number, because the mean of its divisors is an integer number (389821265568).

Almost surely, 216452772112064 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 16452772112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21829990871808).

16452772112064 is an abundant number, since it is smaller than the sum of its proper divisors (27207209631552).

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

16452772112064 is a wasteful number, since it uses less digits than its factorization.

16452772112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94574 (or 94564 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 16452772112064 in words is "sixteen trillion, four hundred fifty-two billion, seven hundred seventy-two million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 397 794 1191 1588 2351 2382 3176 4702 4764 6352 7053 9404 9528 12704 14106 18808 19056 25408 28212 37616 38112 56424 75232 76224 91811 112848 150464 183622 225696 275433 367244 451392 550866 734488 933347 1101732 1468976 1866694 2203464 2800041 2937952 3733388 4406928 5600082 5875904 7466776 8813856 11200164 14933552 17627712 22400328 29867104 36448967 44800656 59734208 72897934 89601312 109346901 145795868 179202624 215847661 218693802 291591736 431695322 437387604 583183472 647542983 863390644 874775208 1166366944 1295085966 1726781288 1749550416 2332733888 2590171932 3453562576 3499100832 5180343864 6907125152 6998201664 10360687728 13814250304 20721375456 41442750912 85691521417 171383042834 257074564251 342766085668 514149128502 685532171336 1028298257004 1371064342672 2056596514008 2742128685344 4113193028016 5484257370688 8226386056032 16452772112064